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The existence of eight positive periodic solutions for a generalized prey-predator system with delay and stocking
Author(s):
Zhengqiu
Zhang;
Xinsheng
Xiong
Journal:
Quart. Appl. Math.
65
(2007),
317-337.
MSC (2000):
Primary 34K13, 34K60
Posted:
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.
References:
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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
PII:
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
Posted:
March 7, 2007
Additional Notes:
This project was supported by NNSF of China (10271044) and by Chinese postdoctoral science fund (20060400267).
Copyright of article:
Copyright
2007,
Brown University
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