环境污染下Lotka-Volterra随机捕食模型的周期解
Periodic Solution of Lotka-Volterra Stochastic Predator-Prey Model in a Polluted Environment
-
摘要: 本文主要研究了环境污染下的Lotka-Volterra随机捕食模型. 得到了周期解的存在性和全局吸引性. 更进一步,我们给出了非平凡正周期解存在以及全局吸引性的充分条件. 最后,数值模拟验证了我们的结果.Abstract: In this paper, the Lotka-Volterra stochastic predator-prey systems in a polluted environment is considered. The existence and global attractivity of the periodic solutions are obtained. Furthermore, we obtain the sufficient conditions for the existence and global attractivity of a nontrivial positive periodic solution. Finally, simulations verify our analytical results.