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• W4311662528 startingPage "816" @default.
• W4311662528 abstract "Based on evolutionary game theory and Darwinian evolution, we propose and study discrete-time competition models of two species where at least one species has an evolving trait that affects their intra-specific, but not their inter-specific competition coefficients. By using perturbation theory, and the theory of the limiting equations of non-autonomous discrete dynamical systems, we obtain global stability results. Our theoretical results indicate that evolution may promote and/or suppress the stability of the coexistence equilibrium depending on the environment. This relies crucially on the speed of evolution and on how the intra-specific competition coefficient depends on the evolving trait. In general, equilibrium destabilization occurs when α>2, when the speed of evolution is sufficiently slow. In this case, we conclude that evolution selects against complex dynamics. However, when evolution proceeds at a faster pace, destabilization can occur when α<2. In this case, if the competition coefficient is highly sensitive to changes in the trait v, destabilization and complex dynamics occur. Moreover, destabilization may lead to either a period-doubling bifurcation, as in the non-evolutionary Ricker equation, or to a Neimark-Sacker bifurcation." @default.
• W4311662528 created "2022-12-27" @default.
• W4311662528 creator A5018432956 @default.
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• W4311662528 date "2022-12-10" @default.
• W4311662528 modified "2023-10-14" @default.
• W4311662528 title "The effects of evolution on the stability of competing species" @default.
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• W4311662528 doi "https://doi.org/10.1080/17513758.2022.2154860" @default.
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