IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v240y2026icp713-730.html

Eco-evolutionary dynamics of an intraguild predation with the effect of free space

Author

Listed:
  • Dash, Suparna
  • Khajanchi, Subhas

Abstract

In the study of ecology, intraguild predation is a very important tool to describe the dynamics of a mathematical model containing species from omnivore groups. A model based on basal resource, IG-prey and IG-predator interactions has been considered. Irrespective of the parameter values, the system is unable to become stable about interior equilibrium point. For this failure of the system, we incorporate the effect of free space by constructing a game-theoretical payoff matrix in the search for a biologically realistic outcome. In the presence of the eco-evolutionary component (free space), the IGP model is able to show stable coexistence behavior. The system can prevent the extinction of basal resource and IG-prey by reducing the reproductive benefit for IG-predator from free space. The contributions of several parameters (ecological and system parameters) for stabilizing the system have been explored, and the occurrence of multistability by drawing basin of attractions in a plane section of the phase space has been demonstrated. Our study reveals that the free space provides an opportunity to preserve biodiversity.

Suggested Citation

  • Dash, Suparna & Khajanchi, Subhas, 2026. "Eco-evolutionary dynamics of an intraguild predation with the effect of free space," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 240(C), pages 713-730.
  • Handle: RePEc:eee:matcom:v:240:y:2026:i:c:p:713-730
    DOI: 10.1016/j.matcom.2025.07.050
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475425003271
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2025.07.050?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Aming Li & Lei Zhou & Qi Su & Sean P. Cornelius & Yang-Yu Liu & Long Wang & Simon A. Levin, 2020. "Evolution of cooperation on temporal networks," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    2. Stephen P. Ellner & Edward McCauley & Bruce E. Kendall & Cheryl J. Briggs & Parveiz R. Hosseini & Simon N. Wood & Arne Janssen & Maurice W. Sabelis & Peter Turchin & Roger M. Nisbet & William W. Murdo, 2001. "Habitat structure and population persistence in an experimental community," Nature, Nature, vol. 412(6846), pages 538-543, August.
    3. Gokhale, Chaitanya S. & Hauert, Christoph, 2016. "Eco-evolutionary dynamics of social dilemmas," Theoretical Population Biology, Elsevier, vol. 111(C), pages 28-42.
    4. Mondal, Santana & Khajanchi, Subhas, 2025. "Adaptive evolution of aposematism of a prey species subject to Shepherd’s recruitment function," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    5. Smaldino, Paul E. & Schank, Jeffrey C., 2012. "Movement patterns, social dynamics, and the evolution of cooperation," Theoretical Population Biology, Elsevier, vol. 82(1), pages 48-58.
    6. Urbani, Pasquinell & Ramos-Jiliberto, Rodrigo, 2010. "Adaptive prey behavior and the dynamics of intraguild predation systems," Ecological Modelling, Elsevier, vol. 221(22), pages 2628-2633.
    7. Mondal, Santana & Khajanchi, Subhas, 2025. "Can adaptive prey refuge facilitate species coexistence in Bazykin’s prey–predator model?," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 229(C), pages 539-552.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yang, Luhe & Zhang, Lianzhong, 2021. "Environmental feedback in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Stojkoski, Viktor & Karbevski, Marko & Utkovski, Zoran & Basnarkov, Lasko & Kocarev, Ljupco, 2021. "Evolution of cooperation in networked heterogeneous fluctuating environments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    3. Zhou, Meng & Yang, Yanlong & Xiang, Shuwen, 2025. "Effect of community learning mechanism on cooperation in conflict societies," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    4. Zhao, Zhengwu & Zhang, Chunyan, 2023. "The mechanisms of labor division from the perspective of task urgency and game theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).
    5. Mohamadichamgavi, Javad, 2025. "Strategy dependent time delays shape cooperation in the spatial prisoner’s dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    6. Li, Xiaopeng & Guo, Shiyao & Li, Dongdong & Lin, Zhimin, 2026. "The evolution of cooperation shaped by asymmetric link-weight integration capabilities," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    7. Inaba, Masaaki & Akiyama, Eizo, 2026. "Evolution of cooperation among migrating resource-oriented agents under environmental variability," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    8. Li, Wenyao & Cai, Meng & Zhong, Xiaoni & Liu, Yanbing & Lin, Tao & Wang, Wei, 2023. "Coevolution of epidemic and infodemic on higher-order networks," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    9. Yan, Zeyuan & Zhao, Hui & Liang, Shu & Li, Li & Song, Yanjie, 2024. "Inter-layer feedback mechanism with reinforcement learning boosts the evolution of cooperation in multilayer network," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    10. Li, Xiaopeng & Han, Weiwei & Yang, Wenjun & Wang, Juan & Xia, Chengyi & Li, Hui-jia & Shi, Yong, 2022. "Impact of resource-based conditional interaction on cooperation in spatial social dilemmas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    11. Zeng, Ziyan & Li, Yuhan & Feng, Minyu, 2022. "The spatial inheritance enhances cooperation in weak prisoner’s dilemmas with agents’ exponential lifespan," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    12. Ma, Yin-Jie & Jiang, Zhi-Qiang & Podobnik, Boris, 2022. "Predictability of players’ actions as a mechanism to boost cooperation," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    13. Ma, Lili & Su, Zhao & Lin, Peng & Wang, Kai & Pang, Xingbo & Li, Lin & Chen, Lin, 2026. "The impact of peer incentives that integrate node similarity on the evolution of cooperation in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 682(C).
    14. Tekwa, Edward W. & Gonzalez, Andrew & Loreau, Michel, 2019. "Spatial evolutionary dynamics produce a negative cooperation–population size relationship," Theoretical Population Biology, Elsevier, vol. 125(C), pages 94-101.
    15. Ran, Yijun & Liu, Si-Yuan & Huang, Junjie & Jia, Tao & Xu, Xiao-Ke, 2026. "A generalized motif-based Naïve Bayes model for sign prediction in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 681(C).
    16. Zhou, Zhizhuo & Rong, Zhihai & Yang, Wen & Wu, Zhi-Xi, 2024. "Coevolution of extortion strategies with mixed imitation and aspiration learning dynamics in spatial Prisoner’s Dilemma game," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    17. repec:plo:pcbi00:1005732 is not listed on IDEAS
    18. Li, Bin-Quan & Wu, Zhi-Xi & Guan, Jian-Yue, 2022. "Critical thresholds of benefit distribution in an extended snowdrift game model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    19. Wu, Chengxing & Deng, Hongzhong & Tu, Chengyi, 2024. "A general network complexity reduction method for cooperative evolution in structured populations," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    20. Hu, Qi & Zhou, Mengyu & Jiang, Yulian & Liu, Xingwen, 2024. "Analysis of cooperative stability for reputation evaluation rules in spatial prisoner's dilemma game," Applied Mathematics and Computation, Elsevier, vol. 482(C).
    21. Shen, Yuwei & Zhao, Zhihong & Guo, Ke, 2025. "Bifurcations and pattern formation of a ratio-dependent Holling–Tanner predator–prey model with prey refuge," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:240:y:2026:i:c:p:713-730. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.