Asymptotic behavior of a nonhomogeneous predator-prey system with one diffusing and one sedentary species

DOI10.1002/mma.1670050105zbMath0513.92019OpenAlexW2087904665MaRDI QIDQ3659579

Franz Rothe

Publication date: 1983

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670050105

zbMATH Keywords

nonnegative solutionDirichlet boundary conditionNeumann boundary conditionLyapunov functionalmild solutionomega-limit setmixed problemconvergence to equilibriuminhomogeneous environmentsedentary speciesdiffusing speciesnonhomogeneous predator-prey systemVolterra-Lotka predator-prey population

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (3)

Coupled system of reaction-diffusion equations and applications in carrier facilitated diffusion ⋮ Uniform bounds from bounded \(L_ p-\)functionals in reaction-diffusion equations ⋮ Pattern and stability in predator-prey communities: How diffusion in spatially variable environments affects the Lotka-Volterra model

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