On a certain semilinear parabolic system related to the Lotka-Volterra ecological model

DOI10.2977/prims/1195189063zbMath0396.92019OpenAlexW2023251395MaRDI QIDQ1253631

Masayasu Mimura, Takaaki Nishida

Publication date: 1978

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195189063

zbMATH Keywords

Neumann Boundary ConditionAsymptotic BehaviorsDirichlet Nonhomogeneous Boundary ConditionsEnergy MethodLotka- Volterra Ecological ModelPrey and Predator PopulationsSemilinear Parabolic System

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Ecology (92D40)

Related Items (9)

Modeling the role of diffusion coefficients on Turing instability in a reaction-diffusion prey-predator system ⋮ Instability of non-constant equilibrium solutions of a system of competition-diffusion equations ⋮ The diffusive Lotka-Volterra system with three species can have a stable non-constant equilibrium solution ⋮ Behaviour of solutions of some abstract functional differential equations and application to predator—prey dynamics ⋮ Spatial pattern formation of prey-predator populations ⋮ Asymptotic behavior of a nonhomogeneous predator-prey system with one diffusing and one sedentary species ⋮ Asymptotic behaviour of solutions of the diffusive Lotka-Volterra equations ⋮ On a certain class of semilinear Volterra diffusion equations ⋮ Stable spatio-temporal oscillations of diffusive Lotka-Volterra system with three or more species

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