Permanence in Kolmogorov periodic predator-prey models with diffusion

DOI10.1016/0362-546X(94)90244-5zbMath0823.92031OpenAlexW2036119400WikidataQ115599064 ScholiaQ115599064MaRDI QIDQ4316989

Vivian Hutson, Xiao-Qiang Zhao

Publication date: 19 December 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90244-5

zbMATH Keywords

Lotka-Volterra systemspermanencesemiflowabstract permanenceaverage Lyapunov functionalperiodic reaction-diffusion systemsspatially inhomogeneous environments

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Ecology (92D40)

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Cites Work

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• Predator-prey models with almost periodic coefficients
• Positive periodic solutions of predator-prey reaction-diffusion systems
• Permanence in ecological systems with spatial heterogeneity
• Permanence in Kolmogorov competition models with diffusion

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