Research Article |
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Corresponding author: Wesley Augusto Conde Godoy ( wacgodoy@usp.br ) Academic editor: Pavel Stoev
© 2025 Isabella Bueno, João Vitor Mendes Ferraz de Toledo, Lucas Santos Canuto, Wesley Augusto Conde Godoy.
This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Citation:
Bueno I, Toledo JVMFde, Canuto LS, Godoy WAC (2025) The role of grooming in regulating biomass growth of ants and symbiotic fungi under entomopathogenic fungal infection: experiments and mathematical modelling. BioRisk 23: 17-43. https://doi.org/10.3897/biorisk.23.151538
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This study presents an extended mathematical model, originally developed to explore biomass dynamics in Acromyrmex ants and their symbiotic fungus, which has been adapted to investigate biomass growth in Atta sexdens and its fungal partner. The model incorporates ant grooming as a defence against entomopathogenic fungi, building on experimental data where self-grooming and allogrooming were quantified across three groups: Metarhizium anisopliae, Escovopsis phialicopiosa, and a control. A second chamber was introduced to simulate biomass transfer between compartments. Inflection points in growth curves were identified to detect shifts in population dynamics, and bifurcation diagrams explored key parameters affecting system stability, namely worker allocation to fungal cultivation, ant mortality, and fungal mortality. Metarhizium anisopliae significantly reduced both ant and fungal biomass, even under optimal grooming conditions, owing to its direct virulence to workers. In contrast, E. phialicopiosa, an opportunistic pathogen, had minimal impact unless fungal mortality exceeded a critical threshold. Self-grooming proved more effective than allogrooming in mitigating M. anisopliae effects, likely owing to prioritisation of individual defences under high pathogen pressure. Spatial dynamics enhanced resilience: one-way transfer between chambers redistributed biomass, delaying inflection points and bolstering structural stability. Bifurcation analysis revealed that extreme proportions of workers cultivating the symbiotic fungus reduced the biomass for both partners, whilst ant and fungal mortality rates led to non-linear declines in most simulations. These findings underscore the role of multi-chamber architecture in mitigating pathogen impacts in Atta colonies and suggest potential applications for biological control strategies by identifying behavioural and structural factors that may limit or enhance the effectiveness of pathogenic fungi in field settings. The model provides a useful framework for understanding epidemiological dynamics in natural nests, integrating behavioural defences and spatial strategies to safeguard this mutualism.
Allogrooming, ant-fungus mutualism, interactions, leaf-cutting ants, self-grooming
The symbiosis between Attina ants and Basidiomycota fungi constitutes an obligate mutualism: ants provide substrates and protect the fungi from pathogens and parasites, while the fungi serve as the sole food source for larvae and a significant component of the workers’ diet (
Leaf-cutting ants of the genus Atta are among the most important agricultural pests in Latin America. Members of this genus occur from the southern United States to Argentina (
In pastures, intensive removal of plant biomass limits forage availability (
Age- and caste-based spatial segregation exemplifies this approach (
A key challenge in biological control is the structural complexity of nests, since interconnected chambers hinder the uniform application of biocontrol agents and the empirical study of disease dynamics. Typically, control strategies involving entomopathogenic fungi, such as Metarhizium anisopliae, are successful when the fungi infect insects through spores that adhere to the insect’s surface, germinating and penetrating the cuticle to initiate an infectious process. Given the complexity of these social immunity mechanisms, analysing these systems poses a challenge, highlighting key considerations for using entomopathogenic fungi in biocontrol.
Mathematical models of organism interactions are vital in ecology for describing and predicting population dynamics within complex systems under diverse scenarios (
This study employed a mathematical model to investigate the dynamics between leaf-cutting ants and their symbiotic fungus within a two-chamber system, where one-way transfer between compartments is density-dependent and follows a logistic function. This configuration enables the examination of critical factors, including carrying capacity, the influence of external stressors (such as pathogens), and ant behavioural responses to population growth. Furthermore, it facilitates modelling the effects of self-care and social hygiene, specifically self-grooming and allogrooming, in response to pathogenic fungal spread, enhancing our understanding of how these behaviours mitigate disease impacts. The model extends the framework proposed by
The present study addressed fundamental ecological questions regarding how hygienic behaviours, such as self- and allogrooming, contribute to the resilience of leaf-cutting ant colonies and their fungal symbionts when faced with pathogenic fungal infections. Specifically, we investigated how the addition of an extra nest chamber, a structural feature typical of the genus Atta, could mitigate the impact of pathogens, what critical mortality thresholds compromised mutualistic stability, and how worker allocation and behavioural strategies shaped the population dynamics of both the ants and their fungal gardens.
These questions are central to the development of effective biological control strategies, given that the structural complexity of subterranean nests and the behavioural defences of these ants present significant challenges to the application of pathogens under field conditions. By integrating experimental data with mathematical modelling, this study aimed not only to advance our ecological understanding of the ant-fungus mutualism but also to identify key parameters (e.g., optimal proportion of workers allocated to fungal cultivation, one-way transfer rates between chambers) that can inform more targeted interventions, minimising environmental impacts while optimising population control in regions where this genus is considered an agricultural pest.
We collected incipient Atta sexdens colonies on the campus of the Federal University of São Carlos (UFSCar), in Araras, São Paulo, with the material kindly provided by the university, and maintained them under controlled laboratory conditions (25 ± 1 °C, 70% relative humidity, and a 12-hour light/dark cycle). Prior to the experiments, we transported the colonies to the Luiz de Queiroz College of Agriculture (ESALQ) in Piracicaba, São Paulo, where we conducted all the experiments. At the time of the experiments, the colonies, maintained for approximately two years, had fungal garden chambers with a volume of approximately 2 litres. We prepared fungal suspensions of Metarhizium anisopliae strain E9 (sourced from the ESALQ-USP collection) and Escovopsis phialicopiosa strain LESF 021 (sourced from the UNESP Rio Claro collection) by culturing the fungal strains on potato dextrose agar (PDA) at 25 °C for 4–5 days. Following this incubation, we scraped the conidia from the cultures, resuspended them in a 0.05% Tween 80 solution, and adjusted this to a final concentration of 108 conidia/ml. Once the fungal preparations were completed, we initiated the experiments focusing on the contamination of ant colonies.
We conducted the experiment using miniaturised colonies. We housed workers from four source colonies in plaster-lined Petri dishes containing fragments of symbiotic fungal gardens (0.5 g), one larva, one pupa, and ten medium-sized ants, and allowed them to acclimate for 48 hours. Treatments comprised T1: Tween 80 control; T2: Metarhizium anisopliae suspension; and T3: Escovopsis phialicopiosa suspension. Suspensions were applied using a 500 µl airbrush spray. The experiment followed a randomised block design, with four colony-based replicates per treatment. We recorded the ant behaviour (4 hours per replicate) using a vertically positioned Sony Handycam under controlled conditions (23 °C, 60% relative humidity). We made observations at 30-minute intervals, with 5-minute focal sampling analysed using BORIS v7.13.8. The time spent on self-grooming or allogrooming was measured in seconds for the three treatments specified above. Post-treatment, we maintained the ants under controlled conditions (25 °C, 70% relative humidity), monitoring the mortality and fungal sporulation daily.
This study builds on a previous investigation that proposed a theoretical framework to model the ant population of the genus Acromyrmex. The model, developed by
(1)
Thus, ra represents the parameter estimating the maximum growth rate of ants, while da denotes their mortality rate. (III) Regarding the fungus, there are a few important considerations: First, their growth depends on the harvesting and processing of leaves, which in turn depends on the allocation of labour (a); second, the fungus exhibits a type III numerical response to the ants, with a saturation constant (b) (
(2)
Equations (1) and (2) from the model by
The first step was to develop a representation of the defensive mechanisms that ants have against pathogenic fungi, i.e., self-grooming and allogrooming. Next, the chambers represent patches connected to allow the transfer of ants and the symbiotic fungus between them. The key criterion governing the movement of organisms between chambers was the carrying capacity of each chamber. In this approach, chamber A has a spatial limit for both the ants and the symbiotic fungus. A one-way transfer of individuals occurs from chamber A to chamber B when populations in A reach saturation, based on resource availability for subsistence. Regarding colony defences against pathogenic fungi, we incorporated estimates of the time spent on self-grooming and allogrooming by workers. We assumed that the longer the time spent grooming, the greater the defence, a well-documented assumption (
We developed an R code to implement the system, providing a computational approach to modelling the interactions between ant biomass and fungal biomass within a system of two connected chambers. We used a set of differential equations to describe these dynamics, incorporating growth, mortality, one-way transfer between chambers, and pathogenic influences. We employed the deSolve package in R (
We modelled the effect of self-grooming on the mortality rates of ants and the symbiotic fungus by considering specific mortality rates of ants (da (pathogenic)) and fungi (df (pathogenic)) due to the pathogenic fungi M. anisopliae and E. phialicopiosa. These rates were calculated as:
(3)
(4)
Components ka and kf are the intensities of the pathogenic fungi effect on ants and the symbiotic fungus, respectively. The term represents the reduction in pathogen-induced mortality due to self-grooming. As st increases, the mortality rates decrease, reflecting the protective effect of grooming. Equations (9) and (10) were structured to model the allogrooming as well. The transcription of this may be represented simply by replacing st with at. Finally, the total mortality of the ants and the symbiotic fungus in each chamber is the sum of the baseline mortality rates and the pathogen-induced mortality rates:
daA = da + dapat A, (5)
dfA = df + dfpat A (6)
where da and df are the baseline mortality rates for the ants and the symbiotic fungus. The same equations implemented for chamber B are written as:
daB = da + dapat B, (7)
dfB = df + dapat B (8)
Differential equations for two connected chambers describe the populations of ants and their symbiotic fungus. This requires considering the transition between chambers A and B and that this transition will be unidirectional, representing how the ants move the fungal garden to new chambers as the first chamber begins to reach its limit. The one-way transfer is represented by the following equation:
(9)
These equations model the rates of change in ant and fungal populations based on resource-dependent growth influenced by interspecific interactions while accounting for mortality, including a general death rate (
Chamber A:
(10)
(11)
Chamber B:
(12)
(13)
These equations differ from those in
| Parameter | Description | Value | Source | Unit |
|---|---|---|---|---|
| ra | Growth rate of ants | 0.1 | Kang et al.* | day−1 |
| rf | Growth rate of symbiotic fungus | 0.7 | Kang et al. | day−1 |
| c | Fungus-to-ant biomass conversion rate | 0.0045 | Kang et al. | |
| da | Mortality rate of ants | 0.1 | Kang et al. | day−1 |
| df | Mortality rate of symbiotic fungus | 0.2 | Kang et al. | day−1 |
| ka | Pathogen effect intensity on ants | 0.15 | Experimental | |
| kf | Pathogen effect intensity on symbiotic fungus | 0.15 | Experimental | |
| b | Half-saturation constant for fungal growth | 0.002 | Kang et al. | |
| p | Proportion of workers in colony | 1 | Kang et al. | |
| q | Proportion of workers allocated to fungus cultivation | 0.5 | Experimental | |
| D | One-way transfer rate (A→B) | 0.1 | Experimental | day−1 |
| st | Time spent on self-grooming (see Table |
Variable | Experimental | seconds |
| at | Time spent on allogrooming (see Table |
Variable | Experimental | seconds |
The model evaluated the inflection points for the ants and fungal biomasses in each chamber. These points are critical for understanding system dynamics, as they mark the transition in biomass change where concavity shifts from accelerating to decelerating or vice versa. Inflection points were identified by analysing the second derivative of biomass curves, marking the most pronounced shifts in growth or decline.
Bifurcation theory is a mathematical framework used to study qualitative and quantitative changes in the behaviour of dynamical systems as their parameters vary. In differential equations, a bifurcation occurs when a small change in a system’s parameters induces a sudden topological shift in its dynamics, such as the emergence of new equilibrium points, the disappearance of existing ones, or the onset of oscillations. Consider a system of ordinary differential equations (ODEs) of the form:
where x represents the state variables (e.g., the biomasses of ants and the symbiotic fungus), p denotes the system parameters (e.g., q, da, df,), and f is a smooth function describing the system’s dynamics in the ant-fungus system.
In this study, we used bifurcation theory to explore the parametric space of: q (the proportion of ants cultivating the symbiotic fungus), da (the baseline mortality rate of ants), and df (the baseline mortality rate of the symbiotic fungus), examining how self-grooming (st) and allogrooming (at) influence these parameters and affect the system’s stability and dynamics. We selected these three parameters based on a prior sensitivity analysis with all model parameters. When evaluated for self-grooming and allogrooming, the criterion for choosing these parameters was their significant impact on the biomasses of the ants and the symbiotic fungus. Critical thresholds can be identified by examining bifurcation diagrams for these parameters, enabling predictions of how the system responds to ecological perturbations, such as variations in pathogen pressure or grooming behaviour.
The bifurcation diagram is essential for understanding how variations in the time spent on self-grooming (st) and allogrooming (at) influence the dynamics of the ant-symbiotic fungus system. Specifically, st and at modulate the pathogen-induced mortality rates of ants and the symbiotic fungus, as described by the terms in equations (3) and (4). These terms, in turn, directly affect the total mortality rates presented in equations (5) to (8), thereby shaping the system’s stability. We conducted the simulations using the R packages ggplot2, patchwork, and deSolve (R codes:10.5281/zenodo.15364469). We used the lsoda method to numerically solve the differential equations. For each simulation, we extracted and plotted the final values of the time series to represent the system’s equilibrium states in the bifurcation diagrams.
Ant responses to the pathogens varied depending on the grooming type (Table
| Self-grooming | |||
|---|---|---|---|
| Value | T1 (control) | T2 (M. anisopliae) | T3 (E. phialicopiosa) |
| Maximum | 168 | 114 | 185 |
| Mean | 14.4 | 12 | 14 |
| Minimum | 0.30 | 0.53 | 0.73 |
| Allogrooming | |||
| Value | T1 (control) | T2 (M. anisopliae) | T3 (E. phialicopiosa) |
| Maximum | 1701 | 169 | 1639 |
| Mean | 330 | 54 | 82 |
| Minimum | 1.50 | 3.87 | 1.23 |
Fig.
Biomass of leaf-cutting ants (a) and symbiotic fungus (b) modelled using
Maximum self-grooming effects on biomasses of leaf-cutting ants and symbiotic fungus with inflection points. Biomass growth curves with identified inflection points (solid blue circles) for chamber A and (solid red circles) for chamber B across three treatments: T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa). D represents the one-way transfer of biomass from chamber A to chamber B (D = 0.1). The simulation uses maximum self-grooming durations measured in seconds: T1 (168 s), T2 (114 s), and T3 (185 s).
Mean self-grooming effects on biomasses of leaf-cutting ants and symbiotic fungus with inflection points. Biomass growth curves with identified inflection points (solid blue circles) for chamber A and (solid red circles) for chamber B across three treatments: T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa). D represents the one-way transfer of biomass from chamber A to chamber B (D = 0.1). The model uses mean self-grooming durations measured in seconds: T1 (14.4 s), T2 (12 s), and T3 (14 s).
Metarhizium anisopliae (T2), even exposed to maximum allogrooming, significantly reduced the biomasses for both ants and the symbiotic fungus compared to T1 (Fig.
Minimum self-grooming effects on biomasses of leaf-cutting ants and symbiotic fungus with inflection points. Biomass growth curves with identified inflection points (solid blue circles) for chamber A and (solid red circles) for chamber B across three treatments: T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa). D represents the one-way transfer of biomass from chamber A to chamber B (D = 0.1). The model uses minimum self-grooming durations measured in seconds: T1 (0.3 s), T2 (0.53 s), and T3 (0.73 s).
Maximum allogrooming effects on biomasses of leaf-cutting ants and symbiotic fungus with inflection points. Biomass growth curves with identified inflection points (solid blue circles) for chamber A and (solid red circles) for chamber B across three treatments: T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa). D represents the one-way transfer of biomass from chamber A to chamber B (D = 0.1). The model uses maximum allogrooming durations measured in seconds: T1 (1701 s), T2 (169 s), and T3 (1639 s).
Mean allogrooming effects on biomasses of leaf-cutting ants and symbiotic fungus with inflection points. Biomass growth curves with identified inflection points (solid blue circles) for chamber A and (solid red circles) for chamber B across three treatments: T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa). D represents the one-way transfer of biomass from chamber A to chamber B (D = 0.1). The model uses mean allogrooming durations measured in seconds: T1 (330 s), T2 (54 s), and T3 (82 s).
Minimum allogrooming effects on biomasses of leaf-cutting ants and symbiotic fungus with inflection points. Biomass growth curves with identified inflection points (solid blue circles) for chamber A and (solid red circles) for chamber B across three treatments: T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa). D represents the one-way transfer of biomass from chamber A to chamber B (D = 0.1). The model uses minimum allogrooming durations measured in seconds: T1 (1.5 s), T2 (3.87 s), and T3 (1.23 s).
Effects of the absence of self-grooming and allogrooming on biomasses of leaf-cutting ants and symbiotic fungus with inflection points. Biomass growth curves with identified inflection points (solid blue circles) for chamber A and (solid red circles) for chamber B under the condition where no grooming behaviour occurs. D represents the one-way transfer of biomass from chamber A to chamber B (D = 0.1).
The bifurcation diagram for worker allocation (q) compares minimum, mean, and maximum self-grooming times (Fig.
Bifurcation diagrams for q (the proportion of workers cultivating the symbiotic fungus) in T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa), considering minimum (red), mean (green), and maximum (blue) time spent on self-grooming.
Bifurcation diagrams for q (the proportion of workers cultivating the symbiotic fungus) in T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa), considering minimum (red), mean (green), and maximum (blue) time spent on allogrooming.
A general decrease in the biomasses of ants and fungus in response to increasing mortality values occurred for both ant mortality (da) and fungus mortality (df), considering the minimum, mean, and maximum values of st and at (Figs
Bifurcation diagrams for da (mortality rate of ants) in T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa), considering minimum (red), mean (green), and maximum (blue) time spent on self-grooming.
Bifurcation diagrams for da (mortality rate of ants) in T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa), considering minimum (red), mean (green), and maximum (blue) time spent on allogrooming.
Bifurcation diagrams for da (mortality rate of fungus) in T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa), considering minimum (red), mean (green), and maximum (blue) time spent on self-grooming.
Bifurcation diagrams for df (total mortality of fungus) in T1 (control), T2 (Metarhizium anisopliae), and T3 (Escovopsis phialicopiosa), considering minimum (red), mean (green), and maximum (blue) time spent on allogrooming.
Ant biomass in chamber A decreased non-linearly under self-grooming in all three treatments, with quantitative differences among the three (Fig.
The obligate symbiosis between leafcutter ants and basidiomycete fungi is based on a bidirectional dependency: the ants provide fresh plant substrate and protection to the symbiotic fungus, while the fungus serves as the exclusive nutritional source for the colony (
The simulations performed here were based on the model of
For D > 0, one-way transfer redistributes resources (Fig.
The sigmoidal patterns observed in the biomasses align with classical models of obligate mutualism (
The impact of M. anisopliae was evident even under moderate symbiotic fungus mortality (df ≈ 0.4–0.5, Figs
In contrast, the pronounced effects of M. anisopliae on both mutualistic components suggest a disruption to intra-colony labour allocation. As M. anisopliae infects insects via conidial adhesion to the cuticle and subsequent tegument penetration (
Infection may also impair worker activity, as evidenced by delayed ant and fungal biomass stabilisation under maximum self-grooming. Studies have shown that M. anisopliae can overwhelm workers and disrupt essential activities such as foraging (
Whilst the factors regulating grooming intensity in leaf-cutting ants are not fully understood, they are generally considered multifaceted (
Our simulations indicate that hygiene behaviours differentially affect the system biomass. Self-grooming proved more effective against M. anisopliae than allogrooming, reflecting the prioritisation of individual defences under high pathogen pressure (Figs
The relationship between ant mortality (da) and population collapse revealed a critical threshold (da ≈ 0.5) beyond which the mutualism loses resilience. For M. anisopliae, high worker mortality directly impaired fungal care, accelerating the decline in fungal biomass (df > 0.4) even under maximum self-grooming, demonstrating a critical threshold for mutualistic collapse (Fig.
Bifurcation diagrams revealed critical system transitions (Figs
Delayed inflection points in biomass curves influenced by M. anisopliae likely arise from high pathogen intensity (ka), which increases worker mortality (da), impairs fungal care, and initially prioritises self-grooming over allogrooming (Figs
These results provide critical insights into pathogen transmission dynamics within leaf-cutting colonies and the factors shaping the resilience of ant-fungus mutualism. Beyond ecological understanding, these findings could inform practical strategies for managing Atta spp., which are significant agricultural pests.
The results highlight the critical role of multi-chamber nest architecture and hygienic practices in mitigating pathogen impacts. Metarhizium anisopliae was identified as a more severe threat to colony stability compared to Escovopsis phialicopiosa, significantly reducing both ant and fungal biomasses. Self-grooming proved more effective than allogrooming in countering M. anisopliae, suggesting that individual defences are prioritised under high pathogen pressure. The study also revealed critical thresholds for ant and fungal mortality, beyond which the mutualistic system collapses. Worker allocation to fungus cultivation emerged as a key factor in maintaining stability, with intermediate proportions optimising resilience. These findings enhanced our understanding of the ecological and behavioural strategies that support the resilience of ant-fungus mutualisms and provided insights for developing targeted biological control strategies against leaf-cutting ants.
We express our sincere gratitude to the funding body CNPq and grant #2023/08286-2, São Paulo Research Foundation (FAPESP), for their support and contribution to this research. We also thank Dr Ricardo Toshio Fujihara for kindly providing the ant colonies used in this study. We are grateful to Dr Janet Reid for proofreading this article in English. We are also grateful to two anonymous reviewers who contributed significantly to improving the manuscript.
The authors have declared that no competing interests exist.
No ethical statement was reported.
This work was supported by CNPq - PhD 202308286-2.
Formal analysis: LSC. Methodology: JVMFT. Writing – original draft: IB. Writing – review and editing: WACG.
Isabella Bueno https://orcid.org/0000-0002-1241-066X
João Vitor Mendes Ferraz de Toledo https://orcid.org/0009-0003-5525-5158
Lucas Santos Canuto https://orcid.org/0009-0000-6854-4774
Wesley Augusto Conde Godoy https://orcid.org/0000-0002-2619-7476
All of the data that support the findings of this study are available in the main text or Supplementary Information.
Original grooming data
Data type: xlsx
Explanation note: Laboratory estimates of the time spent on self-grooming and allogrooming for the control, M. anisopliae, and E. phialicopiosa treatments.