Note on the diffusive prey-predator model with variable coefficients and degenerate diffusion

DOI10.1016/j.aml.2024.109335MaRDI QIDQ6656514

Mingxin Wang

Publication date: 3 January 2025

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

prey-predator modelvariable coefficientslongtime behaviorsdegenerate diffusion coefficients

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model
• The evolution of slow dispersal rates: a reaction diffusion model
• Note on the Lyapunov functional method
• Dynamics and steady-state analysis of a consumer-resource model
• On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion
• On the effects of migration and spatial heterogeneity on single and multiple species
• Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
• Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model
• Dynamics of consumer-resource reaction-diffusion models: single and multiple consumer species
• The dynamics of an eco-epidemiological prey-predator model with infectious diseases in prey
• Dynamics of the prey-predator model with variable coefficients and degenerate diffusion coefficients

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