Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632263 | Applied Mathematics and Computation | 2009 | 12 Pages |
Abstract
In this paper, we studied a non-autonomous predator-prey system with discrete time-delay, where there is epidemic disease in the predator. By using some techniques of the differential inequalities and delay differential inequalities, we proved that the system is permanent under some appropriate conditions. When all the coefficients of the system is periodic, we obtained the existence and global attractivity of the positive periodic solution by Mawhin’s continuation theorem and constructing a suitable Lyapunov functional. Furthermore, when the coefficients of the system are not absolutely periodic but almost periodic, sufficient conditions are also derived for the existence and asymptotic stability of the almost periodic solution.
Keywords
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Baodan Tian, Yanhong Qiu, Ning Chen,