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A general uniqueness result of an endemic state for an epidemic model with external force of infection

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대한수학회 (The Korean Mathematical Society)|2007.10|대한수학회논문집 (Communications of the KMS)|제22권 제4호|pp. 597-608

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Abstract

We present a general uniqueness result of an endemic statefor an S-I-R model with external force of infection. We reduce the problemof nding non-trivial steady state solutions to that of nding zeros of areal function of one variable so that we can easily prove the uniqueness ofan endemic state. We introduce an assumption which was usually usedto show stability of a non-trivial steady state. It turns out that such anassumption adopted from a stability analysis is crucial for proving theuniqueness as well, and the assumption holds for almost all cases in ourmodel.

참고문헌 (15)

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관련 논문AI추천

Existence and uniqueness of endemic states for anepidemic model with external force of infectionYoungjoon Cha대한수학회 · 대한수학회논문집2002 · 제17권 제1호Local stability of endemic states for an epidemic model with external force of infectionYoungjoon Cha대한수학회 · 대한수학회논문집2003 · 제18권 제1호The uniqueness of positive solution in competition model고원률, 안인경대한수학회 · 대한수학회보2004 · 제41권 제2호Bifurcation analysis of a delayed epidemic model with diffusionChangjin Xu, Maoxin Liao대한수학회 · 대한수학회논문집2011 · 제26권 제2호Uniqueness of Coexistence State of General Competition Model for Several Competing SpeciesJoon Hyuk Kang, Yun Myung Oh경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제2호Dynamics of an Improved SIS Epidemic ModelMilad Tahavor, Reza Memarbashi한국수학교육학회 · 이론수학과 교직수학2023 · 제30권 제2호

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