EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS TO A PREDATOR-PREY SYSTEM WITH DELAYS AND IMPULSES

EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS TO A PREDATOR-PREY SYSTEM WITH DELAYS AND IMPULSES

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摘要 By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and constructing Lyapunov functionals,a set of easily verifiable sufficient conditions are derived for the existence and global attractivity of a positive periodic solution to a predator-prey system with delays and impulses. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and constructing Lyapunov functionals,a set of easily verifiable sufficient conditions are derived for the existence and global attractivity of a positive periodic solution to a predator-prey system with delays and impulses.

作者 Ren Yaping(School of Statistic and Math.,Yunnan University of Finance and Economics,Kunming 650221) Li Yongkun(Dept. of Math.,Yunnan University,Kunming 650091)

出处《Annals of Differential Equations》 2008年第2期197-207,共11页 微分方程年刊（英文版）

基金 This work was supported by the National Natural Sciences Foundation of China (10361006) the Natural Sciences Foundation of Yunnan Province (2003A0001M).

关键词 periodic solution impulsive equation coincidence degree theory glo-bal attractivity periodic solution impulsive equation coincidence degree theory glo-bal attractivity

分类号 O175 [理学—基础数学]

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参考文献10

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Annals of Differential Equations

2008年第2期

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EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS TO A PREDATOR-PREY SYSTEM WITH DELAYS AND IMPULSES

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