Stability of bifurcating periodic solutions in a delayed reaction–diffusion population model

A delayed reaction--diffusion model of the Fisher type with a single discrete delay and zero-Dirichlet boundary conditions on a general bounded open spatial domain with a smooth boundary is considered. The stability of a spatially heterogeneous positive steady state solution and the existence of Hop...

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Veröffentlicht in:	Nonlinearity 2010-06, Vol.23 (6), p.1413-1431
Hauptverfasser:	Yan, Xiang-Ping, Li, Wan-Tong
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Bifurcations Delay Differential equations Exact sciences and technology Global analysis, analysis on manifolds Hopf bifurcation Mathematical methods in physics Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Other topics in mathematical methods in physics Partial differential equations, boundary value problems Partial differential equations, initial value problems and time-dependant initial-boundary value problems Physics Sciences and techniques of general use Smooth boundaries Stability Steady state Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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