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• W3209072007 abstract "In this paper, we are concerned with the stability of heteroclinic cycles of the symmetric May-Leonard competition model with seasonal succession. Sufficient conditions for stability of heteroclinic cycles are obtained. Meanwhile, we present the explicit expression of the carrying simplex in a special case. By taking phi as the switching strategy parameter for a given example, the bifurcation of stability of the heteroclinic cycle is investigated. We also find that there are rich dynamics (including nontrivial periodic solutions, invariant closed curves and heteroclinic cycles) for such a new system via numerical simulation. Biologically, the result is interesting as a caricature of the complexities that seasonal succession can introduce into the classical May-Leonard competitive model." @default.
• W3209072007 created "2021-11-08" @default.
• W3209072007 creator A5018154186 @default.
• W3209072007 creator A5066455698 @default.
• W3209072007 date "2021-10-24" @default.
• W3209072007 modified "2023-10-16" @default.
• W3209072007 title "Heteroclinic Cycles of A Symmetric May-Leonard Competition Model with Seasonal Succession" @default.
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• W3209072007 doi "https://doi.org/10.48550/arxiv.2110.12390" @default.
• W3209072007 hasPublicationYear "2021" @default.
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