A parabolic-quasilinear predator-prey model under pursuit-evasion dynamics

DOI10.1016/j.jmaa.2022.126276zbMath1491.35005OpenAlexW4225009802WikidataQ115570170 ScholiaQ115570170MaRDI QIDQ2673006

Bruno Telch

Publication date: 13 June 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126276

zbMATH Keywords

chemotaxispredator-prey modelmechanistic modelsglobal classical solutionanimal movementno-flux boundary conditions

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

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The effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model

Cites Work

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