In this work, we propose a delayed predator-prey model with impulsively diffusive prey between two patches. Using the stroboscopic map of the discrete dynamical system, we obtain the globally attractive condition of predator-extinction periodic solution of the system. We also obtain the permanent co
Two-patches prey impulsive diffusion periodic predator–prey model
✍ Scribed by Zijian Liu; Shouming Zhong; Chun Yin; Wufan Chen
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 387 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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✦ Synopsis
In this paper, we study a periodic predator-prey system with prey impulsive diffusion in two patches. On the basis of comparison theorem of impulsive differential equation and other analysis methods, sufficient and necessary conditions on the predator-prey system where predator have not other food source are established. Two examples and numerical simulations are presented to illustrate the feasibility of our results. A conclusion is given in the end.
📜 SIMILAR VOLUMES
## Abstract By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for the two‐patches predator‐prey dispersion models with continuous delays is established. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
A periodic predator-prey-chain system with impulsive effects is considered. By using the global results of Rabinowitz and standard techniques of bifurcation theory, the existence of its trivial, semi-trivial and nontrivial positive periodic solutions is obtained. It is shown that the nontrivial posi