On a periodic predator-prey system with nonlinear diffusion and delays
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- 作者：Ahmadjan Muhammadhaji ; Rouzimaimaiti Mahemuti ; Zhidong Teng
- 关键词：Predator ; prey system ; Nonlinear diffusion ; Positive periodic solution ; Distributed time delay ; Global attractivity
- 刊名：Afrika Matematika
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：27
- 期：7-8
- 页码：1179-1197
- 全文大小：1,318 KB
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics Education
Applications of Mathematics
History of Mathematics
Mathematics - 出版者：Springer Berlin / Heidelberg
- ISSN：2190-7668
- 卷排序：27
文摘
In this paper, we consider a two species Lotka–Volterra type predator-prey system with nonlinear diffusion and distributed time delays. Based on the continuation theorem of the coincidence degree theory and the Liapunov function method, some new sufficient conditions on the existence and global attractivity of positive periodic solutions are established.