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Existence of Positive Periodic Solutions for Nonautonomous Predator-prey Systems with Discrete and Continuously Distributed Delays

โœ Scribed by Yan Lv; Wei Lv; Jian-hua Sun


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2007
Tongue
English
Weight
169 KB
Volume
23
Category
Article
ISSN
0168-9673

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๐Ÿ“œ SIMILAR VOLUMES


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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.

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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