| 具功能反应和投放率的非自治捕食-食饵系统的周期解和持久性 |
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| 引用本文： | 樊晓明,王志刚,罗振江.具功能反应和投放率的非自治捕食-食饵系统的周期解和持久性[J].数学的实践与认识,2008,38(9):123-130. |
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| 作者姓名： | 樊晓明 王志刚 罗振江 |
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| 作者单位： | 哈尔滨师范大学,数学科学学院,黑龙江,哈尔滨,150500 |
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| 基金项目： | 国家自然科学基金
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教育部跨世纪优秀人才培养计划
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黑龙江省教育厅科学技术研究项目 |
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| 摘 要： | 研究一类具Beddington-DeAngeli类功能性反应和投放率的Lotka-Volterra非自治的捕食-食饵系统,证明了此系统在一定条件下是一致持续生存的,通过构造适当的Lyapunov函数得到系统存在唯一全局渐进稳定正周期解的充分条件.并举例说明条件的可行性.
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| 关 键 词： | Beddington-DeAngelis 周期解 全局渐进稳定 Lyapunov函数 |
| 修稿时间： | 2008年1月4日 |
Persistence and Periodic Solutions for Nonautonomous Predator-prey System with Fuctional Responses and Invest Rate |
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| FAN Xiao-ming,WANG Zhi-gang,LUO Zhen-jiang.Persistence and Periodic Solutions for Nonautonomous Predator-prey System with Fuctional Responses and Invest Rate[J].Mathematics in Practice and Theory,2008,38(9):123-130. |
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| Authors: | FAN Xiao-ming WANG Zhi-gang LUO Zhen-jiang |
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| Abstract: | We consider a nonautonomous predator-prey system with Beddington-DeAngelis fuctional responses and invest rate.It is proved that the system is uniform persistent under suitable condition,Furthermore,A sufficient condi-tions are established for existence of periodic solution and uniqueness of global asymptotic stability by establishing Lyapunov fuction and a example is given to illustrate the feasibility of these conditions. |
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| Keywords: | Beddington-DeAngelis periodic solution lyapunov fuction global asymptotic stability |
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