摘要
研究一类具有非线性发生率的SIR传染病模型.应用微分方程定性理论分别得到了该系统无病平衡点、地方病平衡点全局渐近稳定的充分条件,并进行了数值模拟.
An SIR epidemic model with nonlinear incidence rate is investigared. By usingthe qualitative theory of ordinary differential equations, sufficient conditions are obtained for the global asymptotic stability of each of feasible equilibrium to the proposed model. Also,some numerical simulations are provided to confirm our analytic results.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第13期258-261,共4页
Mathematics in Practice and Theory
基金
衡阳师范学院科学基金青年项目(11A31)
关键词
传染病模型
非线性发生率
平衡点
全局稳定性
epidemic model
nonlinear incidence rate
equilibrium
global stability
