广义Lotka-Volterra系统的耗散性

Dissipativity of the generalized Lotka-Volterra system

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摘要通过拟单项式变换,把广义Lotka-Volterra(GLV)系统转换为Lotka-Volterra(LV)系统;然后,根据LV系统的理论,探讨了GLV系统耗散及稳定耗散的判定准则,并举例说明怎样控制参数才能使系统耗散. A generalized Lotka-Volterra（GLV） system was changed into an LV system by the quasimonomial power transformations.Some criteria for the dissipativity and stable dissipativity of the GLV systems were presented.Two examples were given to illustrate the application of these criteria.

作者陈莉莉赵晓华

机构地区浙江师范大学数理与信息工程学院

出处《浙江师范大学学报（自然科学版）》 CAS 2009年第4期380-384,共5页 Journal of Zhejiang Normal University:Natural Sciences

基金国家自然科学基金资助项目(10872183)

关键词拟单项式变换广义Lotka-Volterra系统耗散稳定耗散 quasimonomial power transformation generalized Lotka-Volterra system dissipative stable dissipative

分类号 O175.14 [理学—基础数学]

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浙江师范大学学报（自然科学版）

2009年第4期

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广义Lotka-Volterra系统的耗散性

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