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