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Allee effect induced diversity in evolutionary dynamics

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  • Dhiman, Aman
  • Poria, Swarup

Abstract

Cyclic dominance is observed in predator-prey interactions, the mating strategy of side-blotched lizards, the overgrowth of marine sessile organisms and competition in microbial populations and many other natural systems. Rock-Paper-Scissor(RPS) is a popular game which demonstrates cyclic dominance. In this paper, we investigate replicator dynamics of RPS-game under logistic growth functions with Allee effect. The results obtained are compared with the case of no Allee effect. Due to Allee effect the number of stable attractors increases in a certain parameter region. The obtained result can be interpreted biologically that diversity of an ecological system increases due to Allee effect.

Suggested Citation

  • Dhiman, Aman & Poria, Swarup, 2018. "Allee effect induced diversity in evolutionary dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 32-38.
    • Handle: RePEc:eee:chsofr:v:108:y:2018:i:c:p:32-38
    DOI: 10.1016/j.chaos.2018.01.026
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    References listed on IDEAS

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