Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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The existence of eight positive periodic solutions for a generalized prey-predator system with delay and stocking


Authors: Zhengqiu Zhang and Xinsheng Xiong
Journal: Quart. Appl. Math. 65 (2007), 317-337
MSC (2000): Primary 34K13, 34K60
DOI: https://doi.org/10.1090/S0033-569X-07-01056-6
Published electronically: March 7, 2007
MathSciNet review: 2330560
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Abstract: By means of using Mawhin's continuation theorem of coincidence degree theory, we derive criteria for the existence of eight positive periodic solutions of a generalized prey-predator system with time delay and stocking.


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Additional Information

Zhengqiu Zhang
Affiliation: School of Mathematics and Computing Technology, Central South University, Changsha, 410083, People’s Republic of China
Email: z_q_zhang@sina.com.cn

Xinsheng Xiong
Affiliation: Department of Applied Mathematics, Hunan University, Changsha, 410082, People’s Republic of China
Email: xxs82@163.com

DOI: https://doi.org/10.1090/S0033-569X-07-01056-6
Keywords: Eight positive periodic solutions, a generalized prey-predator system, delay and stocking, the continuation theorem of coincidence degree theory, topological degree theory.
Received by editor(s): February 3, 2006
Published electronically: March 7, 2007
Additional Notes: This project was supported by NNSF of China (10271044) and by Chinese postdoctoral science fund (20060400267).
Article copyright: © Copyright 2007 Brown University


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