Asymptotic behavior for a class of the renewal nonlinear equation with diffusion

DOI10.1002/mma.2591zbMath1277.35059OpenAlexW1988165818MaRDI QIDQ4908137

Philippe Michel, Tarik Mohammed Touaoula

Publication date: 4 March 2013

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

Full work available at URL: https://doi.org/10.1002/mma.2591

zbMATH Keywords

iterative methodlong-time behaviorextinctionblow upMcKendrick-Von Foerster model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Population dynamics (general) (92D25) Comparison principles in context of PDEs (35B51) Initial-boundary value problems for nonlinear first-order PDEs (35F31)

Related Items

Dynamical behavior of two predators-one prey model with generalized functional response and time-fractional derivative ⋮ Numerical solution to a nonlinear McKendrick-Von Foerster equation with diffusion ⋮ A convergent numerical scheme to a McKendrick–von Foerster equation with diffusion ⋮ A numerical scheme for a diffusion equation with nonlocal nonlinear boundary condition ⋮ Asymptotic behavior of the solution of a diffusion equation with nonlocal boundary conditions ⋮ On a nonlinear renewal equation with diffusion ⋮ Mathematical analysis of the influence of prey escaping from prey herd on three species fractional predator-prey interaction model

Cites Work

• Decay solution for the renewal equation with diffusion
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• General relative entropy inequality: an illustration on growth models
• Extensions of a property of the heat equation to linear thermoelasticity and other theories
• Gender-Structured Population Modeling
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