Hopf bifurcation analysis for a delayed predator–prey system with diffusion effects
✍ Scribed by Guang-Ping Hu; Wan-Tong Li
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 567 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1468-1218
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In this paper, a three-species predator-prey system with two delays is investigated. By choosing the sum s of two delays as a bifurcation parameter, we first show that Hopf bifurcation at the positive equilibrium of the system can occur as s crosses some critical values. Second, we obtain the formu
The present paper is concerned with a delayed predator-prey diffusion system with a Beddington-DeAngelis functional response and homogeneous Neumann boundary conditions. If the positive constant steady state of the corresponding system without delay is stable, by choosing the delay as the bifurcatio