Positive solutions for a predator-prey interaction model with Holling-type functional response and diffusion

DOI10.11650/twjm/1500406420zbMath1230.92051OpenAlexW4248544297WikidataQ115520528 ScholiaQ115520528MaRDI QIDQ653401

Yunfeng Jia, Hong-Kun Xu, Jian-hua Wu

Publication date: 19 December 2011

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500406420

zbMATH Keywords

stabilityfixed point index theoryCrandall-Rabinowitz's bifurcation theoremfurcations

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40) Bifurcations in context of PDEs (35B32)

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Qualitative analysis on a reaction-diffusion model arising from population dynamics ⋮ Non-constant positive solutions of a general Gause-type predator-prey system with self- and cross-diffusions ⋮ A Linearized Alternating Direction Method of Multipliers with Substitution Procedure

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