| 一类带有不育控制的单种群离散模型 |
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| 引用本文： | 李秋英,张凤琴,刘汉武.一类带有不育控制的单种群离散模型[J].郑州大学学报(自然科学版),2014(1):54-57. |
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| 作者姓名： | 李秋英 张凤琴 刘汉武 |
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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： | 国家自然科学基金资助项目,编号11371313;山西省重点扶持学科项目,编号20091028;山西省自然科学基金资助项目,编号2013011002-5,运城学院院级教学研究项目,编号JY-2011037,运城学院科研项目,编号XK2012003. |
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| 摘 要： | 建立了一类具有不育控制的害鼠种群的离散模型.首先利用3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Lypunov函数和细致分析法分别给出了零平衡点全局稳定及一致持续生存的充分条件.
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| 关 键 词： | 不育控制 全局渐近稳定性 持续生存 Lypunov函数 |
A Discrete Single Species with Immunocontraception Control |
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| LI Qiu-ying,ZHANG Feng-qin,LIU Han-wu.A Discrete Single Species with Immunocontraception Control[J].Journal of Zhengzhou University (Natural Science),2014(1):54-57. |
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| Authors: | LI Qiu-ying ZHANG Feng-qin LIU Han-wu |
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| Institution: | (Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, China) |
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| Abstract: | A discrete single species model with immunocontraception control was established. Firstly, on basis of three conditions of Jury, a sufficient condition was derived for the local asymptotic stability of equilibria of the model. Secondly, globally asymptotic stability of zero equilibrium was proved. Finally, by using Lyapunov function and detailed analysis method, some appropriate conditions were derived for the permanence of the system. |
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| Keywords: | immunocontraception control global asymptotical stability persistence Lyapunov function |
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