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Competing alliances in a four-species cyclic ecosystem

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  • Wang, Z.
  • Bayliss, A.
  • Volpert, V.A.

Abstract

We consider a four-species cyclic community with species ui where i=1,…,4. For each i, species ui exhibit a crowding effect, competing with members of its own species (intraspecies competition). Furthermore, there is interspecies competition as ui competes with ui+1 (mod 4). We also allow for species mobility via Fickian diffusion. A feature of this cyclic competition scheme is that there are two alliances of non-competing species, d13, consisting only of species u1 and u3, and d24, consisting only of species u2 and u4. We focus on the parameter regime where these two alliances are the only stable states.

Suggested Citation

  • Wang, Z. & Bayliss, A. & Volpert, V.A., 2024. "Competing alliances in a four-species cyclic ecosystem," Applied Mathematics and Computation, Elsevier, vol. 464(C).
    • Handle: RePEc:eee:apmaco:v:464:y:2024:i:c:s0096300323005659
    DOI: 10.1016/j.amc.2023.128396
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