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.
Periodic solutions in non autonomous predator prey system with delays
✍ Scribed by Guojian Lin; Yiguang Hong
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 610 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1468-1218
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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. Al
## 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)