Advances in Difference Equations | |
Dynamics of a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects | |
Wenquan Wu1  Lijun Xu2  | |
[1] Department of Mathematics, Aba Teachers College, Wenchuan, China;School of Mathematics and Computer Science, Panzhihua University, Panzhihua, China | |
关键词: uniform persistence; diffusion; comparison theorem; predator-prey; impulse; | |
DOI : 10.1186/1687-1847-2014-264 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
By applying the comparison theorem, Lyapunov functional, and almost periodic functional hull theory of the impulsive differential equations, this paper gives some new sufficient conditions for the uniform persistence, global asymptotical stability, and almost periodic solution to a nonautonomous Lotka-Volterra predator-prey dispersal system with impulsive effects. The main results of this paper extend some corresponding results obtained in recent years. The method used in this paper provides a possible method to study the uniform persistence, global asymptotical stability, and almost periodic solution of the models with impulsive perturbations in biological populations. MSC:34K14, 34K20, 34K45, 92D25.
【 授权许可】
CC BY
【 预 览 】
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