On a cross-diffusion population model deduced from mutation and splitting of a single species

DOI10.1016/j.camwa.2012.03.045zbMath1268.35119OpenAlexW2063985556MaRDI QIDQ356086

Gonzalo Galiano

Publication date: 25 July 2013

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.03.045

zbMATH Keywords

existenceuniquenessnumerical examplesfinite element approximationpopulation dynamicscross-diffusion system

Mathematics Subject Classification ID

Problems related to evolution (92D15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (13)

Qualitative behavior of solutions to cross-diffusion systems from population dynamics ⋮ The regularity of weak solutions for certain \(n\)-dimensional strongly coupled parabolic systems ⋮ Incompressible limit of a continuum model of tissue growth for two cell populations ⋮ Turing instability and pattern formation for the Lengyel-Epstein system with nonlinear diffusion ⋮ Cross-diffusion driven instability in a predator-prey system with cross-diffusion ⋮ Analysis of a Quasi-Reversibility Method for a Terminal Value Quasi-Linear Parabolic Problem with Measurements ⋮ On a singular perturbation problem arising in the theory of evolutionary distributions ⋮ Analysis of a splitting-differentiation population model leading to cross-diffusion ⋮ Pattern selection in the 2D FitzHugh-Nagumo model ⋮ On a cross-diffusion segregation problem arising from a model of interacting particles ⋮ Well-Posedness of a Cross-Diffusion Population Model with Nonlocal Diffusion ⋮ On a cross-diffusion system arising in image denoising ⋮ Deterministic particle method approximation of a contact inhibition cross-diffusion problem

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