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Título : Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms
Autor : Silva, Willian Cintra da
Santos, Carlos Alberto Pereira dos
Jiazheng Zhou
Assunto:: Sistema elíptico quasilinear
Bifurcação
Estados de convivência
Método de sub e supersolução
Dinâmica populacional
Fecha de publicación : 2021
Editorial : American Institute of Mathematical Sciences
Citación : CINTRA, Willian; SANTOS, Carlos Alberto dos; ZHOU, Jiazheng. Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms. Discrete & Continuous Dynamical Systems - B, 2021. DOI: 10.3934/dcdsb.2021211.
Abstract: In this paper, we present results about existence and non-existence of coexistence states for a reaction-diffusion predator-prey model with the two species living in a bounded region with inhospitable boundary and Holling type II functional response. The predator is a specialist and presents self-diffusion and cross-diffusion behavior. We show the existence of coexistence states by combining global bifurcation theory with the method of sub- and supersolutions.
DOI: 10.3934/dcdsb.2021211
metadata.dc.relation.publisherversion: https://www.aimsciences.org/article/doi/10.3934/dcdsb.2021211
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