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
✦ LIBER ✦
Stability and bifurcation in two species predator–prey models
✍ Scribed by I. Kusbeyzi; O.O. Aybar; A. Hacinliyan
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 587 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1468-1218
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Our concern is to consider an ecological system with Ivlev's functional response 1 y e ya x of predator to prey. In addition to a, this system contains parameters r and D, which represent the intrinsic rate of increase for the prey population and the death rate for the predator population, respectiv