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.
On a periodic prey-predator system with infinite delays
β Scribed by Li Yongkun; Xu Guitong
- Book ID
- 107500447
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2000
- Tongue
- English
- Weight
- 245 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1005-1031
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π 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
This paper concerns the local and global dynamical properties of the nonnegative and positive equilibria of a Lotka-Volterra predator-prey system with distributed delays. It is shown that, while the positive equilibrium does not exist, the nonnegative equilibrium is globally asymptotically stable or