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- W3115284499 abstract "In this paper, we explore the dynamics of a certain class of Beddington host-parasitoid models, where in each generation a constant portion of hosts is safe from attack by parasitoids, and the Ricker equation governs the host population. Using the intrinsic growth rate of the host population that is not safe from parasitoids as a bifurcation parameter, we prove that the system can either undergo a period-doubling or a Neimark–Sacker bifurcation when the unique interior steady state loses its stability. Then, we apply the new theory to the following well-known cases: May’s model, [Formula: see text]-model, Hassel and Varley (HV)-model, parasitoid-parasitoid (PP) model and [Formula: see text] model. We use numerical simulations to confirm our theoretical results." @default.
- W3115284499 created "2021-01-05" @default.
- W3115284499 creator A5031816464 @default.
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- W3115284499 date "2020-12-28" @default.
- W3115284499 modified "2023-10-18" @default.
- W3115284499 title "Period-Doubling and Neimark–Sacker Bifurcations of a Beddington Host-Parasitoid Model with a Host Refuge Effect" @default.
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- W3115284499 doi "https://doi.org/10.1142/s0218127420502545" @default.
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