| 一类具反馈控制的病毒感染模型的稳定性与周期解 |
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| 引用本文： | 程荣福.一类具反馈控制的病毒感染模型的稳定性与周期解[J].北华大学学报(自然科学版),2011,12(1):10-17. |
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| 作者姓名： | 程荣福 |
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| 作者单位： | 北华大学数学学院,吉林,吉林,132033 |
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| 基金项目： | 吉林省教育厅科学技术研究项目 |
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| 摘 要： | 研究了一类具有反馈控制的病毒感染动力学模型.利用常微分方程定性与稳定性方法,通过分析特征方程,讨论了该模型各个平衡点的局部稳定性;通过构造适当的Lyapunov泛函,证明了未感染平衡点和反馈控制病毒感染平衡点的全局稳定性;最后,利用重合度理论中的延拓定理,给出了保证其周期系统存在正周期解的充分条件.
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| 关 键 词： | 病毒感染模型 反馈控制 重合度理论 稳定性 周期解 |
Periodic Solution and Stability of a Virus Infection Model with Feedback Controls |
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| CHENG Rong-fu.Periodic Solution and Stability of a Virus Infection Model with Feedback Controls[J].Journal of Beihua University(Natural Science),2011,12(1):10-17. |
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| Authors: | CHENG Rong-fu |
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| Institution: | CHENG Rong-fu(Mathematics College of Beihua University,Jilin 132033,China) |
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| Abstract: | A virus infection model with feedback controls is studied.Impose constant differential equation of qualitative and stability of means,by analyzing the corresponding characteristic equation,the local stability of each of feasible equilibrium point of the model is investigated.By constructing appropriate Lyapunov functional,the global stability of the infection-free equilibrium point and feedback controls infection equilibrium point are proved.Finally,by using continuation theorem based on coincidence degree ... |
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| Keywords: | virus infection model feedback controls continuation theorem stability periodic solution |
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