| 一类带有不育控制的离散单种群模型 |
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| 引用本文： | 李秋英,李晓霞.一类带有不育控制的离散单种群模型[J].数学研究,2013(2):167-174. |
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| 作者姓名： | 李秋英 李晓霞 |
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| 作者单位： | 运城学院应用数学系,山西运城044000 |
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| 基金项目： | 山西省回国留学人员科研资助项目（2011-093）; 运城学院院级科研项目（XK2012003） |
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| 摘 要： | 建立一类不育控制下的害鼠种群的离散模型.首先利用三个Jury条件,得到平衡点的局部渐近稳定性的充分条件.其次利用李雅普诺夫函数和细致分析法分别给出了零平衡点全局稳定及持续生存的充分条件.最后给出了平衡点全局稳定的数值模拟.
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| 关 键 词： | 不育控制 全局渐近稳定性 持续生存 |
A Discrete Single Species Model with Immunocontraception Control |
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| Li Qiuying Li Xiaoxia.A Discrete Single Species Model with Immunocontraception Control[J].Journal of Mathematical Study,2013(2):167-174. |
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| Authors: | Li Qiuying Li Xiaoxia |
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| Institution: | Li Qiuying Li Xiaoxia (Department of Applied Mathematics, Yuncheng University for Nationalities, yuncheng Shanxi 044000) |
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| Abstract: | In this paper, we propose a discrete single model with Immunocontraception control. Firstly, based on three conditions of Jury, sufficient condition is derived for the local asymptotic stability of equilibria of the model. Secondly, it is proved that zero equilibrium is globally asymptotically stable and the system is permanence under some appropriate conditions by using Lyapunov function and detailed analysis method. Lastly, we give numerical simulations for supporting our theoretical result. |
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| Keywords: | Immunocontraception control Global asymptotical stability Persistence |
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