Dynamic of a non-autonomous predator–prey system with infinite delay and diffusion
✍ Scribed by Wei Ding; Maoan Han
- Book ID
- 108077246
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 390 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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In this paper the asymptotic behavior of solutions of a predator᎐prey system is determined. The model incorporates time delays due to gestation and assumes that the prey disperses between two patches of a heterogeneous environment with barriers between patches and that the predator disperses between
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