摘要
研究在状态依赖脉冲控制下,媒体影响对Filippov SIR传染模型的作用.利用微分方程几何理论和Bendixson-Dulac判别法研究实平衡点的全局渐近稳定性,根据后继函数和类庞加莱准则分析一阶正周期解的存在性和稳定性,进一步通过数值模拟说明所得理论结果的可靠性.
The effect of media influence on Filippov SIR epidemic model is investigated in the case of statedependent pulse control for it.Geometric theory of differential equation and Bendixson-Dulac discriminant are employed to study the globally asymptotical stability of true equilibrium point,the existence and stability of first-order positive periodic solution are analyzed according to the successive function and quasiPoincarécriterion,and the reliability of the theoretical result obtained are further testified with numerical simulation.
出处
《兰州理工大学学报》
CAS
北大核心
2017年第6期149-155,共7页
Journal of Lanzhou University of Technology
基金
国家自然科学基金(11661050)
