Parametric portraits of travelling waves of population models with polynomial growth and auto-taxis rates

DOI10.1016/S0362-546X(99)00396-XzbMath1004.92003MaRDI QIDQ1586527

Georgiy P. Karev, Faina Berezovskaya

Publication date: 16 February 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

travelling waveschemotaxisbifurcationsauto-model systemgrowth-taxis-diffusion equation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Cell movement (chemotaxis, etc.) (92C17)

Related Items (1)

Families of traveling impulses and fronts in some models with cross-diffusion

Cites Work

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• Versal deformation of a singular point of a vector field on the plane in the case of zero eigenvalues
• Bifurcations of planar vector fields. Nilpotent singularities and Abelian integrals
• Elements of applied bifurcation theory.
• Traveling waves in polynomial population models.
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks

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