摘要
研究了传染病常微模型三次系统解的非负性、整体解的存在唯一性,并利用Liapunov函数法和霍维茨准则等研究了非负平衡解的稳定性及渐近稳定性.
This paper mainly discussed the non-negativity and the global existence of solution to infectious disease model. Moreover, it applied Liapunov function and the Routh-Hurwitz criterion to the study of the stability and asymptotic stability of the non negative equilibrium solutions to the ODE systems, The conclusions can guide research in the prediction and control of infectious disease.
出处
《河南大学学报（自然科学版）》
CAS
北大核心
2009年第6期558-562,共5页
Journal of Henan University:Natural Science
基金
河南省教育厅自然科学基金项目(2007110004
2008A110002)
关键词
传染病的常微模型
整体解存在唯一性
平衡解的稳定性和渐近稳定性
infectious disease ODE model
stability and asymptotic stability of non-negative equilibrium solutions
existence and uniqueness of global solution
