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.
✦ LIBER ✦
Periodic solutions of two-patches predator-prey dispersion models with continuous delays
✍ Scribed by Zhengqiu Zhang; Zhicheng Wang
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 144 KB
- Volume
- 259
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
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)
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In this paper, a nonautonomous predator᎐prey dispersion model with functional response and continuous time delay is studied, where all parameters are time dependent. In this system, which consists of n-patches, the prey species can disperse among n-patches, but the predator species is confined to on