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一类具有双线性发生率的SIS传染病模型的稳定性 被引量:1

GLOBAL STABILITY OF AN SIS EPIDEMIC MODEL WITH BILINEAR INCIDENCE RATE
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摘要 研究了一类具有双线性发生率的SIS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 SIS epidemic model with bilinear incidence rate is investigated.By using the 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 are provided to confirm our analytic results.
出处 《井冈山大学学报(自然科学版)》 2011年第6期16-18,共3页 Journal of Jinggangshan University (Natural Science)
基金 湖南省教育厅科研基金资助项目(10C0489)
关键词 传染病模型 双线性发生率 平衡点 全局稳定性 epidemic model bilinear incidence rate equilibrium global stability
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