Electron. J. Diff. Equ., Vol. 2011 (2011), No. 49, pp. 1-11.

Multiple positive periodic solutions to a non-autonomous Lotka-Volterra predator-prey system with harvesting terms

Kaihong Zhao, Yongkun Li

Using Mawhin's continuation theorem of coincidence degree theory, we establish the existence of $2^{n+m}$ 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.

Show me the PDF file (228 KB), TEX file, and other files for this article.

Kaihong Zhao
Department of Applied Mathematics
Kunming University of Science and Technology
Kunming, Yunnan 650093, China
email: zhaokaihongs@126.com
Yongkun Li
Department of Mathematics, Yunnan University
Kunming, Yunnan 650091, China
email: yklie@ynu.edu.cn

Return to the EJDE web page