摘要
利用非标准有限差分方法,研究一类带移民项的离散SEI传染病模型·通过构造Lyapunov函数,证明了模型的唯一的正平衡点是全局渐近稳定的,与连续模型的动力学行为相符.
The nonstandard finite difference scheme is employed to study a class of SEI model of infectious disease with immigration. By constructing discrete Lyapunov function, the unique positive equilibrium is globally asymptotically stable, which is consistent with the corresponding dynamical behaviors of continuous model.
出处
《数学的实践与认识》
北大核心
2017年第15期302-306,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11501519
11626219)
