| 反应扩散模型的全局渐近稳定性和持续性（英文） |
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| 引用本文： | 白江红,闫萍,滕志东.反应扩散模型的全局渐近稳定性和持续性（英文）[J].生物数学学报,2009,24(1):9-24. |
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| 作者姓名： | 白江红 闫萍 滕志东 |
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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 Joint Item of School and Faculty of Xinjiang University |
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| 摘 要： | 本文主要应用反应扩散方程的不变原理和构造适当的Liapunov泛函方法研究了一类反应扩散模型的唯一齐次正平衡态的全局渐近稳定性.进一步,根据Dunbar et al.（1986）和Hutson与Moran（1987）得出的动力学系统结果,我们得到了判别具有持续性的充分条件.
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| 关 键 词： | 反应扩散模型 全局渐近稳定性 持续性 |
Globally Asymptotical Stability and Persistence in Reaction-Diffusion Models |
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| BAI Jiang-hong,YAN Ping,TENG Zhi-dong.Globally Asymptotical Stability and Persistence in Reaction-Diffusion Models[J].Journal of Biomathematics,2009,24(1):9-24. |
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| Authors: | BAI Jiang-hong YAN Ping TENG Zhi-dong |
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| Institution: | (College of Mathematics and System Sciences, Xinjiang University, Urumqi Xinjiang 830046 China) |
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| Abstract: | In this paper,we discuss the globally asymptotical stability of unique homogeneous positive steady state based on the invariance principle of reaction-diffusion equations and the construction of a Liapunov functional.Further,we give the criteria for persistence,using the dynamical system results of Dunbar et al.（1986） and Hutson and Moran（1987）. |
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| Keywords: | Reaction-diffusion models globally asymptotical stability persistence |
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