AGGREGATIVE MOVEMENT AND FRONT PROPAGATION FOR BI-STABLE POPULATION MODELS

DOI10.1142/S0218202507002303zbMath1135.92027OpenAlexW2120732869MaRDI QIDQ5386669

Cristina Marcelli, Philip K. Maini, Serena Matucci, Luisa Malaguti

Publication date: 14 May 2008

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

Full work available at URL: https://doi.org/10.1142/s0218202507002303

zbMATH Keywords

traveling wave solutionsfinite speed of propagationdiffusion-aggregation models

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Higher-order parabolic equations (35K25)

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Cites Work

• Models of individual aggregation or clustering in single and multi- species communities
• Sharp profiles in degenerate and doubly degenerate Fisher-KPP equations.
• Mathematical biology. Vol. 1: An introduction.
• Travelling wave phenomena in some degenerate reaction-diffusion equations
• The characterization of reaction-convection-diffusion processes by travelling waves
• Effect of aggregation on population recovery modeled by a forward-backward pseudoparabolic equation