具有潜伏期和非线性恢复率的甲型H7N9禽流感流行模型的全局动力学
Global Dynamics of an Avian Influenza A(H7N9) Epidemic Model with Latent Period and Nonlinear Recovery Rate.
作者信息
Mu Rui, Yang Youping
机构信息
School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China.
出版信息
Comput Math Methods Med. 2018 Feb 22;2018:7321694. doi: 10.1155/2018/7321694. eCollection 2018.
An SEIR type of compartmental model with nonlinear incidence and recovery rates was formulated to study the combined impacts of psychological effect and available resources of public health system especially the number of hospital beds on the transmission and control of A(H7N9) virus. Global stability of the disease-free and endemic equilibria is determined by the basic reproduction number as a threshold parameter and is obtained by constructing Lyapunov function and second additive compound matrix. The results obtained reveal that psychological effect and available resources do not change the stability of the steady states but can indeed diminish the peak and the final sizes of the infected. Our studies have practical implications for the transmission and control of A(H7N9) virus.
构建了一个具有非线性发病率和恢复率的SEIR型房室模型，以研究心理效应和公共卫生系统可用资源（特别是医院病床数量）对A(H7N9)病毒传播和控制的综合影响。无病平衡点和地方病平衡点的全局稳定性由基本再生数作为阈值参数决定，并通过构造李雅普诺夫函数和第二加法复合矩阵得到。所得结果表明，心理效应和可用资源不会改变稳态的稳定性，但确实可以减小感染者的峰值和最终规模。我们的研究对A(H7N9)病毒的传播和控制具有实际意义。
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