Periodic solution for a predator-prey system with distributed delay
β Scribed by Guojian Lin; Rong Yuan
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 349 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
β¦ Synopsis
For the predator-prey system with distributed delay, when the distributed delay kernel is the general Gamma distributed delay kernel, the existence and the stability of periodic solution are obtained by using the linear chain trick and geometric singular perturbation theory. ~) 2005 Elsevier Ltd. All rights reserved.
π SIMILAR VOLUMES
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.
A kind of predator-prey system with distributed time delay and impulsive harvest is firstly presented and then the effects of impulsive harvest on the system are discussed by means of chain transform. By using the Floquet's theory and the comparison theorem of impulsive differential equation, the th