Existence and uniqueness for a kinetic model of population dynamics with character dependence and spatial structure

DOI10.1016/S0022-0396(02)00082-7zbMath1028.35073OpenAlexW2092549217MaRDI QIDQ1864657

Ahmed Noussair, Bedr'Erddine Ainseba

Publication date: 18 March 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00082-7

zbMATH Keywords

nonlocal boundary conditionsfixed point argumentsBoltzmann kinetic-type modelingdiv-rot lemmanonlocal renewal processquadratic integro-differential interactions

Mathematics Subject Classification ID

Related Items (1)

Trajectory analysis of nonlinear kinetic models of population dynamics of several species

Cites Work

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• An application of the invariance principle to reaction diffusion equations
• Periodic solutions for nonlinear population dynamics models with age-dependence and spatial structure
• From the Boltzmann equation to generalized kinetic models in applied sciences
• Age-dependent population diffusion with external constraint
• Non-linear age-dependent population dynamics
• On the Distribution of Dominance in Populations of Social Organisms

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