Family of equilibria in a population kinetics model and its collapse

DOI10.1016/j.nonrwa.2010.06.004zbMath1202.35114OpenAlexW2024832757MaRDI QIDQ611227

Vyacheslav G. Tsybulin, Ekaterina S. Kovaleva, Kurt Frischmuth

Publication date: 14 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.06.004

zbMATH Keywords

finite-difference methodcosymmetryperturbation of boundary conditionsthree populations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

Mathematical Model of the Ideal Distribution of Related Species in a Nonhogeneous Environment ⋮ Modeling of invasion on a heterogeneous habitat: taxis and multistability ⋮ Cosymmetry approach and mathematical modeling of species coexistence in a heterogeneous habitat

Cites Work

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• Destruction of the family of steady states in the planar problem of Darcy convection
• Cosymmetry, degeneration of solutions of operator equations, and origin of a filtration convection
• Co-symmetry breakdown in problems of thermal convection in porous medium
• Families of equilibria and dynamics in a population kinetics model with cosymmetry
• Dynamics of Nonlinear Parabolic Equations with Cosymmetry
• Secondary cycle of equilibria in a system with cosymmetry, its creation by bifurcation and impossibility of symmetric treatment of it

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