| 一类具有年龄结构非自治种群模型零平衡解的全局渐近稳定性 |
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| 引用本文： | 陈林,闫萍,盛其荣.一类具有年龄结构非自治种群模型零平衡解的全局渐近稳定性[J].内蒙古大学学报(自然科学版),2009,40(3). |
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| 作者姓名： | 陈林 闫萍 盛其荣 |
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| 作者单位： | 1. 新疆大学数学与系统科学学院,乌鲁木齐,830046;伊犁师范学院,伊宁,835000
2. 新疆大学数学与系统科学学院,乌鲁木齐,830046 |
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| 基金项目： | 新疆维吾尔自治区高校科研计划重点项目 |
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| 摘 要： | 讨论一类具有年龄结构且死亡率与种群总数有关的非线性非自治种群模型解的渐近性态,证明了解的存在唯一性并得到了零平衡解稳定和全局稳定的充分条件.
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| 关 键 词： | 年龄结构 稳定性 存在唯一性 |
Globally Asymptotic Stability of the Zero Equilibrium Solution to a Class of Non-autonomous Population Models with Age Structure |
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| CHEN Lin,YAN Ping,SHENG Qi-rong.Globally Asymptotic Stability of the Zero Equilibrium Solution to a Class of Non-autonomous Population Models with Age Structure[J].Acta Scientiarum Naturalium Universitatis Neimongol,2009,40(3). |
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| Authors: | CHEN Lin YAN Ping SHENG Qi-rong |
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| Institution: | 1.College of Mathematics and System Sciences;Xinjiang University;Urumqi 830046;China;2.Yili Normal University;Yining 835000;China |
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| Abstract: | The asymptotic behavior of a class of non-linear and non-autonomous population models with age structure is discussed.The mortality rate in this model depends on the total population size.The existence and uniqueness of solutions are proved,and the sufficient conditions for the stability and globally asymptotic stability of zero equilibrium solution are obtained. |
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| Keywords: | age-structured stability existence and uniqueness |
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