Dynamics and numerical simulations of food-chain populations

DOI10.1016/0096-3003(94)90186-4zbMath0819.65117OpenAlexW2064813677MaRDI QIDQ1344043

Wei Feng, Xin Lu

Publication date: 6 September 1995

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90186-4

zbMATH Keywords

convergencenumerical resultsglobal attractorinteraction coefficientsdiffusion- reaction equationsfood-chain populationstwo-sided iteration process

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (12)

Asymptotic periodicity and permanence in a competition-diffusion system with discrete delays ⋮ On positive solutions of the Lotka--Volterra cooperating models with diffusion ⋮ Global asymptotic stability of Lotka--Volterra 3-species reaction--diffusion systems with time delays ⋮ Global dynamics of a class of delayed differential systems with spatial non-locality ⋮ Asymptotic periodicity in diffusive logistic equations with discrete delays ⋮ On existence of wavefront solutions in mixed monotone reaction-diffusion systems ⋮ Periodic solution and oscillation in a competition model with diffusion and distributed delay effects ⋮ MONOTONE METHODS AND STABILITY RESULTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY ⋮ Dynamics of reaction-diffusion systems and applications ⋮ Global asymptotic stability of 3-species Lotka-Volterra models with diffusion and time delays ⋮ GLOBAL BIFURCATION AND LONG TIME BEHAVIOR OF THE VOLTERRA–LOTKA ECOLOGICAL MODEL ⋮ A mathematical analysis for a model arising from public goods games

Cites Work

• A study of three species prey-predator reaction-diffusions by monotone schemes
• Coexistence, stability, and limiting behavior in a one-predator-two-prey model
• On the fixed point index and multiple steady-state solutions of reaction- diffusion systems
• Bifurcation of steady-state solutions in predator-prey and competition systems
• Stable Coexistence States in the Volterra–Lotka Competition Model with Diffusion
• Numerical Methods for Semilinear Parabolic Equations

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