节点文献
具有随机扰动的广义“食物有限”种群模型正解的全局吸引性
Global Attractivity of Positive Solutions to General "Food-Limited" Species Model with Random Perturbation
【摘要】 利用构造Lyapunov函数的方法,给出了具有随机扰动的广义"食物有限"种群模型正解的θ阶矩和(θ+1)阶矩的全局吸引性条件.结果表明,环境白噪声的存在并未影响原确定性种群模型已有的结果.
【Abstract】 By constructing Lyapunov function method,the sufficient conditions of the global attractivity in the θth moment and the(θ+1)th moment of positive solutions to the general "food-limited" species model with random perturbation are given.The results show that the presence of such a noise doesn’t affect the results that we have obtained with the original determinate species model.
【关键词】 随机微分方程;
Lyapunov函数;
全局吸引性;
【Key words】 stochastic differential equation; Lyapunov function; global attractivity;
【Key words】 stochastic differential equation; Lyapunov function; global attractivity;
【基金】 国家自然科学基金(批准号:10971021)
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2011年02期
- 【分类号】O175.13
- 【被引频次】6
- 【下载频次】85