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.
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 theory,the sufficient conditions that guarantee the existence of the positive periodic solution of the periodic system are obtained.
出处
《北华大学学报（自然科学版）》
CAS
2011年第1期10-17,共8页
Journal of Beihua University（Natural Science）
基金
吉林省教育厅科学技术研究项目(2008136)
关键词
病毒感染模型
反馈控制
重合度理论
稳定性
周期解
virus infection model
feedback controls
continuation theorem
stability
periodic solution
