| 两斑块间具有非对称双向脉冲扩散的周期单种群模型 |
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| 引用本文： | 李洪利,张龙,万海云.两斑块间具有非对称双向脉冲扩散的周期单种群模型[J].新疆大学学报(理工版),2014(1):70-75. |
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| 作者姓名： | 李洪利 张龙 万海云 |
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| 作者单位： | 新疆大学数学与系统科学学院,新疆乌鲁木齐830046 |
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| 基金项目： | Supported by the Natural Science Foundation of Xinjiang（2012211B07）. |
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| 摘 要： | 研究了两斑块间具有脉冲扩散的周期单种群模型。利用脉冲微分方程的比较原理和一些分析方法，得到了系统持久性的充分条件，然后利用Brouwer不动点理论和构造Lyapunov函数的方法，得到了系统正周期解全局渐近稳定的充分条件。
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| 关 键 词： | 非对称脉冲扩散 持久性 周期解 全局渐近稳定性 |
A Periodic Single Species Model with Dissymmetric Bidirectional Impulse Diffusion between Two Patches |
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| LI Hong-li,ZHANG Long,WAN Hai-yun.A Periodic Single Species Model with Dissymmetric Bidirectional Impulse Diffusion between Two Patches[J].Journal of Xinjiang University(Science & Engineering),2014(1):70-75. |
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| Authors: | LI Hong-li ZHANG Long WAN Hai-yun |
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| Institution: | (College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China) |
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| Abstract: | We consider a periodic single species model with impulse diffusion between two patches. By using the comparison theorem of impulsive differential equation and some analysis methods, we obtain some sufficient conditions on the permanence of the system. Furthermore, by using Brouwer fixed point theorem and constructing a suitable Lyapunov function, some sufficient conditions on the existence and global asymptotic stability of unique positive periodic solution are established. |
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| Keywords: | Dissymmetric impulse dispersal Permanence Periodic solution Global asymptotic stability |
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