Kaihong Zhao, Yongkun Li
Using Mawhin's continuation theorem of coincidence degree theory, we establish the existence of positive periodic solutions for a non-autonomous Lotka-Volterra network-like predator-prey system with harvesting terms. Here n and m denote the number of prey and predator species respectively. An example is given to illustrate our results.
Submitted November 26, 2010. Published April 7, 2011.
Math Subject Classifications: 34C25, 92D25.
Key Words: Periodic solutions; Lotka-Volterra network; predator-prey system; coincidence degree; harvesting term.
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| Kaihong Zhao |
Department of Applied Mathematics
Kunming University of Science and Technology
Kunming, Yunnan 650093, China
| Yongkun Li |
Department of Mathematics, Yunnan University
Kunming, Yunnan 650091, China
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