On the dynamics of a predator-prey model with nonconstant death rate and diffusion

DOI10.1016/j.nonrwa.2011.01.002zbMath1219.35125OpenAlexW2086897182MaRDI QIDQ546177

Marcos Lizana, Cosme Duque

Publication date: 24 June 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.01.002

zbMATH Keywords

global stabilitypersistencedissipativenessnonexistence of steady state solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

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Cites Work

• Global asymptotic stability of a ratio-dependent predator-prey system with diffusion
• Qualitative behaviour of a ratio-dependent predator-prey system
• A semilinear parabolic system arising in the theory of superconductivity
• Homoclinic bifurcation in a predator-prey model
• Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation
• Bifurcations in a predator-prey model with memory and diffusion. II: Turing bifurcation
• Diffusion, self-diffusion and cross-diffusion
• Persistence in Infinite-Dimensional Systems
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