Stochastic Lotka-Volterra system with infinite delay
Stochastic Lotka-Volterra system with infinite delay
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DOI：
10.1016/j.cam.2009.06.023
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发表时间：
2009-10
期刊：
影响因子：
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通讯作者：
Yong Xu;Fuke Wu;Yimin Tan
中科院分区：
文献类型：
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作者：
Yong Xu;Fuke Wu;Yimin Tan
研究了一类无穷时滞随机Lotka-Volterra系统，其初始数据来自于一个可容许的Banach空间Cr.证明了在环境噪声的简单假设下，具有无穷时滞的随机Lotka-Volterra系统存在唯一的全局正解，并且该正解是渐近有界的.利用指数鞅不等式估计了解的渐近路径。最后，给出了两个数值例子来说明我们的结果.
This paper investigates a stochastic Lotka–Volterra system with infinite delay, whose initial data comes from an admissible Banach space Cr. We show that, under a simple hypothesis on the environmental noise, the stochastic Lotka–Volterra system with infinite delay has a unique global positive solution, and this positive solution will be asymptotic bounded. The asymptotic pathwise of the solution is also estimated by the exponential martingale inequality. Finally, two examples with their numerical simulations are provided to illustrate our result.