The effect of logistic growth on interacting populations that disperse to avoid crowding

DOI10.1080/03605308708820521zbMath0623.92024OpenAlexW2026262571MaRDI QIDQ3762128

Roger Lui, Clayton Keller

Publication date: 1987

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308708820521

zbMATH Keywords

existenceinitial-boundary value problemuniquenesspositive equilibriumattractabilitylogistic-growth lawtwo-species dispersal model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Population dynamics (general) (92D25) Ecology (92D40)

Cites Work

• Unnamed Item
• On interacting populations that disperse to avoid crowding: The effect of a sedentary colony
• On interacting populations that disperse to avoid crowding: preservation of segregation
• Asymptotic behavior and uniqueness of plane subsonic flows
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Stabilization of solutions of nonlinear and degenerate evolution equations
• A Density Dependent Diffusion Equation in Population Dynamics: Stabilization to Equilibrium

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