Hopf bifurcation analysis for a delayed predator–prey system with diffusion effects
By Guangping Hu, Wan-Tong Li. 2010
64 citations recorded by the source corpus.
Abstract This paper is concerned with a delayed predator–prey diffusive system with Neumann boundary conditions. The bifurcation analysis of the model shows that Hopf bifurcation can occur by regarding the delay as the bifurcation parameter. In addition, the direction of Hopf bifurcation and the stability of bifurcated periodic solution are also discussed by employing the normal form theory and the center manifold reduction for partial functional differential equations (PFDEs). Finally, the effect of the diffusion on bifurcated periodic solution is considered.
Subfields: Applied Mathematics, Geometry and Topology, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/312b663d97b54140d878c09dbff0dfc66d118820
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In Applied Mathematics
In Geometry and Topology
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Hopf bifurcation in a delayed reaction-diffusion-advection population model (2017, background): “For models with the homogeneous Neumann boundary conditions, researchers were mainly concerned with the Hopf bifurcation near the constant positive equilibrium, see [9, 13, 15, 18, 19, 22, 26, 28, 31, 32] and the references therein.”