Global existence of solutions to a cross-diffusion predator-prey system with Holling type-II functional response

DOI10.1016/j.camwa.2013.02.007zbMath1319.35277OpenAlexW1984825430WikidataQ115580905 ScholiaQ115580905MaRDI QIDQ493501

Chenglin Li

Publication date: 3 September 2015

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.02.007

zbMATH Keywords

global existencecross-diffusion

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Global solutions for a general strongly coupled prey-predator model
• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• On global existence of solutions to a cross-diffusion system
• Uniform boundedness and stability of global solutions in a strongly coupled three-species cooperating model
• Uniform boundedness and convergence of solutions to cross-diffusion systems
• Global existence for a class of strongly coupled parabolic systems
• EXISTENCE OF GLOBAL SOLUTIONS FOR A PREY–PREDATOR MODEL WITH CROSS-DIFFUSION
• Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
• Global solution to some quasilinear parabolic system in population dynamics
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