一类具有非线性发生率的SI传染病模型的定性分析
일류구유비선성발생솔적SI전염병모형적정성분석
Qualitative Analysis of an SI Epidemic Model with Nonlinear Incidence Rate
  • 万方数据
    大学数学 대학수학
    COLLEGE MATHEMATICS
    2011年 5期 71-75 ,共5页

    杜艳可%徐瑞%段立江

    두염가%서서%단립강

    传染病模型%平衡点%极限环%全局稳定性 傳染病模型%平衡點%極限環%全跼穩定性
    전염병모형%평형점%겁한배%전국은정성
    epidemic model%equilibrium%limit cycle%global stability
    研究一类具有非线性发生率的SI传染病模型.应用微分方程定性理论,给出了该系统极限环的存在性、唯一性以及无病平衡点和地方病平衡点的全局渐近稳定性的充分条件.
    연구일류구유비선성발생솔적SI전염병모형.응용미분방정정성이론,급출료해계통겁한배적존재성、유일성이급무병평형점화지방병평형점적전국점근은정성적충분조건.
    An SI epidemic model with nonlinear incidence rate is investigated. By using the qualitative theory of ordinary differential equations, sufficient conditions are obtained for the existence and uniqueness of limit cycles and the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium to the proposed model.
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