带有Lévy跳的随机捕食-食饵系统动力学行为

Dynamic behavior of stochastic predator-prey system with Lévy jumps

研究带有Lévy跳的随机捕食-食饵模型的动力学行为.主要通过构造恰当的Lyapunov函数,使用Ito公式证明了系统全局正解的存在唯一性,给出了系统随机持久、灭绝的充分条件,通过数值模拟进一步说明了所得理论结果的正确性.

Dynamic behavior of stochastic predator-prey model with Lévy jumps is investigated.By constructing an appropriate Lyapunov function and using Ito formula,the existence uniqueness of the global positive solution of the system is proven and the sufficient conditions that guarantee the stochastic permanence or extinction of the system are given out.Finally,numerical simulation is conducted to verify the validity of the theoretic result obtained.