非线性随机偏害共生模型的动力学行为

Dynamic behavior of nonlinear stochastic amensalism models

建立了加入白噪声、电报噪声和Lévy跳噪声干扰的非线性偏害共生系统,通过选取合适的Lyapunov函数,利用It?公式,证明了系统存在唯一的全局正解,并给出了种群灭绝和随机持久的条件.研究表明,噪声和种群的内禀增长率对于种群的数量有重要影响.最后,通过数值模拟验证了理论分析结果.

In this paper,a nonlinear amensalism system with interference of white noise,telegraph noise and Lévy jumps noise is established.By selecting a suitable Lyapunov function and using It formula,it is proved that the system has a unique global positive solution.The conditions of population extinction and stochastic persistence are given.The results show that noise and intrinsic growth rate have important effects on population size.Finally,the results are verified by numerical simulation.