摘要
研究具有非线性感染率的传统数学模型,通过对模型的稳定性分析得到了保证染病平衡态和无病平衡态的全局稳定性所需要的参数条件,并进行了数值模拟.
It is well known that the mathematical models provide very significant information for the research of human immunodeficiency HIV-1and HCV. However, the infection rate of nearly all mathematical models is lin-ear which shows the simple interaction between the T cells and the viral particles. It has practical significance to study a traditional mathematical model with nonlinear infection rate. It obtained some sufficient conditions on the parameters for the global stability of the infected equilibrium state, and the infection-free equilibrium state are given. Numerical simulations are presented to illustrate the results.
出处
《韶关学院学报》
2015年第10期1-4,共4页
Journal of Shaoguan University
基金
国家自然科学基金(11271314)
河南省自然科学基金(144200510021)
