摘要
通过构造Liapunov函数,应用微分方程定性理论,得到一类分阶段传播的广义SIS传染病模型的全局稳定性的充分条件.对系统的不稳定情况,通过线性化和极点配置,得到了使系统在无病平衡点处稳定的控制率.最后用数值模拟验证了结论的合理性.
The sufficient conditions of the global stability for a singular epidemic model with stage-structure are given by constructing Liapunov functions and the qualitative theory of differential equations,For unstable case of the system,the control which makes the system at the free equilibrium is obtained by using linearization and pole placement.Finally,numerical simulations are given to prove our results.
出处
《北华大学学报（自然科学版）》
CAS
2010年第4期297-300,共4页
Journal of Beihua University（Natural Science）
基金
辽宁省自然科学基金项目(20092179)
