Titre:	Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms
Auteur(s):	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
Date de publication:	2021
Editeur:	American Institute of Mathematical Sciences
Référence bibliographique:	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
Collection(s) :	Artigos publicados em periódicos e afins

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