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Adaptive evolution of aposematism of a prey species subject to Shepherd’s recruitment function

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  • Mondal, Santana
  • Khajanchi, Subhas

Abstract

We develop and analyze a prey–predator interaction model with aposematic prey. Prey’s per-capita growth is subjected to Shepherd’s recruitment function, while predators have a Holling type-II functional response. Ecological dynamics is investigated in presence of a trade-off between prey’s aposematic behavior and resource searching efficiency; significance of the searching efficiency and the saturation constant in the coexistence of prey and predators are explored. Adaptive dynamics is employed to explore the evolution of aposematic behavior of prey species. To assess the evolutionary process, invasion fitness is constructed, and the corresponding evolutionary singular strategies are identified in pairwise invasibility plot (PIP). We discover that the prey strategy evolution is incapable of facilitating evolutionary branching and thus prey species stay monomorphic throughout its evolutionary history. Evolutionary bistability arises when the aposematism function is regarded as normal distribution. Furthermore, predator behavior determines the extent of the feasible evolution set, which in turn dictates the occurrence of bifurcation. For concave–convex–concave form of aposematism function, unique evolutionary attractor is identified. The prey’s aposematic behavior in this situation increases and finally saturates as the prey’s searching efficiency and saturation constant increase.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925001729
    DOI: 10.1016/j.chaos.2025.116159
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    References listed on IDEAS

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    1. U. Dieckmann & M. Doebeli, 1999. "On the Origin of Species by Sympatric Speciation," Working Papers ir99013, International Institute for Applied Systems Analysis.
    2. U. Dieckmann & R. Law, 1996. "The Dynamical Theory of Coevolution: A Derivation from Stochastic Ecological Processes," Working Papers wp96001, International Institute for Applied Systems Analysis.
    3. Leena Lindström & Rauno V. Alatalo & Johanna Mappes & Marianna Riipi & Laura Vertainen, 1999. "Can aposematic signals evolve by gradual change?," Nature, Nature, vol. 397(6716), pages 249-251, January.
    4. Jian Zu & Jinliang Wang & Gang Huang, 2016. "Evolutionary Diversification of Prey and Predator Species Facilitated by Asymmetric Interactions," PLOS ONE, Public Library of Science, vol. 11(9), pages 1-28, September.
    5. Khajanchi, Subhas & Banerjee, Sandip, 2017. "Role of constant prey refuge on stage structure predator–prey model with ratio dependent functional response," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 193-198.
    6. Ulf Dieckmann & Michael Doebeli, 1999. "On the origin of species by sympatric speciation," Nature, Nature, vol. 400(6742), pages 354-357, July.
    7. M. Doebeli & U. Dieckmann, 2000. "Evolutionary Branching and Sympatric Speciation Caused by Different Types of Ecological Interactions," Working Papers ir00040, International Institute for Applied Systems Analysis.
    8. 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.
    9. Zu, Jian & Wang, Jinliang, 2013. "Adaptive evolution of attack ability promotes the evolutionary branching of predator species," Theoretical Population Biology, Elsevier, vol. 89(C), pages 12-23.
    10. Rao, Feng & Kang, Yun, 2023. "Dynamics of a stochastic prey–predator system with prey refuge, predation fear and its carry-over effects," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    11. John Skelhorn & Christina G. Halpin & Candy Rowe, 2016. "Learning about aposematic prey," Behavioral Ecology, International Society for Behavioral Ecology, vol. 27(4), pages 955-964.
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