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Existence and global attractivity of a periodic solution for a prey–predator model with sex-structure
Authors:Xinsheng Xiong  Zhengqiu Zhang  
Affiliation:

aCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China

Abstract:In this paper, we investigate the following periodic sex-structure model:
The sufficient and realistic conditions are obtained for the existence of positive periodic solution of above system. Further, by constructing a V functional and using the result of the existence of positive periodic solutions, the global attractivity of a positive periodic solution for above system is obtained.
Keywords:Sex-structure   Positive periodic solution   Global attractivity   Coincidence degree theory
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