Stability analysis for a s_nirs epidemic model | S_nIRS传染病模型的稳定性分析
2010
Song Zhi, Shenyang Agricultural University (China), College of Science | Hui Shurong, Shenyang Agricultural University (China), College of Science | Tao Guihong, Shenyang Agricultural University (China), College of Science
صينى. 根据易感类个体对病毒的易感性不同把传统的易感类S分成n个子类Sk(k=1,2,…,n),建立了SnIRS传染病模型来研究易感性不同对疾病的影响,应用现代数学中的微分方程理论和非线性动力学的方法,得到了疾病传播的基本再生数及无病平衡点全局稳定性的阈值条件,证明了地方病平衡点的存在唯一性。
اظهر المزيد [+] اقل [-]إنجليزي. We formulated a SnIRS model by dividing the susceptible population into multiple subgroups according to the individuals in each group.The impact of variations on susceptibility was studied.Applying ordinary equation theory and nonlinear dynamics methods,we derived the reproductive number,the threshold condition of global stability of the infection-free equilibrium,indicating the existence uniqueness of the endemic equilibrium.
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