Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms

Silva, Willian Cintra da; Santos, Carlos Alberto Pereira dos; Jiazheng Zhou

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Campo DC	Valor	Lengua/Idioma
dc.contributor.author	Silva, Willian Cintra da	-
dc.contributor.author	Santos, Carlos Alberto Pereira dos	-
dc.contributor.author	Jiazheng Zhou	-
dc.date.accessioned	2022-02-03T20:39:58Z	-
dc.date.available	2022-02-03T20:39:58Z	-
dc.date.issued	2021	-
dc.identifier.citation	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.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/42818	-
dc.language.iso	Inglês	pt_BR
dc.publisher	American Institute of Mathematical Sciences	pt_BR
dc.rights	Acesso Aberto	pt_BR
dc.title	Coexistence states of a Holling type II predator-prey system with self and cross-diffusion terms	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Sistema elíptico quasilinear	pt_BR
dc.subject.keyword	Bifurcação	pt_BR
dc.subject.keyword	Estados de convivência	pt_BR
dc.subject.keyword	Método de sub e supersolução	pt_BR
dc.subject.keyword	Dinâmica populacional	pt_BR
dc.identifier.doi	10.3934/dcdsb.2021211	pt_BR
dc.relation.publisherversion	https://www.aimsciences.org/article/doi/10.3934/dcdsb.2021211	pt_BR
dc.description.abstract1	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.	pt_BR
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