Positive periodic solutions for impulsive predator-prey model with dispersion and time delays |
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| Authors: | Ruixi Liang Jianhua Shen |
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| Institution: | a School of Mathematical Sciences and Computing Technologies, Central South University, Changsha, Hunan 410075, China
b Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, China |
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| Abstract: | In this paper, we study the existence and global attractivity of positive periodic solutions for impulsive predator-prey systems with dispersion and time delays. By using coincidence degree theorem, a set of easily verifiable sufficient conditions are obtained for the existence of at least one strictly positive periodic solutions, and by means of a suitable Lyapunov functional, the uniqueness and global attractivity of positive periodic solution is presented. Some known results subject to the underlying systems without impulses are improved and generalized. |
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| Keywords: | Periodic solution Global attractivity Time delay Dispersion Impulses |
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