A set of easily verifiable sufficient conditions is derived for the global existence of periodic solutions with strictly positive components for a periodic predator-prey system with infinite delays by using the method of coincidence degree.
Existence and global stability of positive periodic solutions for predator–prey system with infinite delay and diffusion
✍ Scribed by Hongguang Zhu; Ke Wang; Xiaojian Li
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 216 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1468-1218
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📜 SIMILAR VOLUMES
By using a fixed point theorem and Lyapunov functional, an especially easily checked criterion is obtained for the global existence and global asymptotic stability of positive periodic solutions of a periodic predator-prey system with infinite delays. Moreover, the global existence theorem is also s
## Abstract In this short note, we study a strongly coupled system of partial differential equations which models the dynamics of a two‐predator‐one‐prey ecosystem in which the prey exercises defense switching and the predators collaboratively take advantage of the prey's strategy. We prove the exi