一类具有后向分支的SI模型
일류구유후향분지적SI모형
An SI Model with Backward Bifurcation
  • 万方数据
    新乡学院学报：自然科学版 신향학원학보：자연과학판
    Journal of Xinxiang Teachers College
    2012年 1期 11-13 ,共3页

    王战伟%陈自高

    왕전위%진자고

    密度制约%平衡点%稳定性%后向分支 密度製約%平衡點%穩定性%後嚮分支
    밀도제약%평형점%은정성%후향분지
    density-dependent%equilibrium point%stability%backward bifurcation
    研究了一类易感者和感染者同时具有密度制约的SI传染病模型,利用函数的几何特性讨论了平衡点的存在性和稳定性,得到后向分支存在的条件,构造了函数并根据Poincare-Bendixson定理给出该模型的全局性态分析.
    연구료일류역감자화감염자동시구유밀도제약적SI전염병모형,이용함수적궤하특성토론료평형점적존재성화은정성,득도후향분지존재적조건,구조료함수병근거Poincare-Bendixson정리급출해모형적전국성태분석.
    An SI epidemic model is studied of susceptible and infester with density-dependent both.The existence and stability of the equilibrium point are discussed using geometrical features of function,and the existent condition of backward bifurcation is concluded.The function is constructed and completely qualitative analyses of this model are obtained by means of Poincare-Bendixson theorem.
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