Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi 030006, People's Republic of China.
Chaos. 2020 Jan;30(1):013103. doi: 10.1063/1.5116209.
In this paper, we propose a concise method to investigate the global dynamics of a mean-field vector-borne diseases model on complex networks. We obtain an explicit formula of the basic reproduction number by a renewal equation. We show that the model exhibits a threshold dynamics in terms of the basic reproduction number by constructing subtle Lyapunov functions. Roughly speaking, if the basic reproduction number R<1, the vector-borne diseases die out; otherwise, it persists. Moreover, numerical simulations show that vector-control is an effective measure for slowing down the spread of vector-borne diseases.
本文提出了一种简洁的方法来研究复杂网络上的均值场载体传播疾病模型的全局动力学。我们通过更新方程得到了基本再生数的显式公式。我们通过构造微妙的李雅普诺夫函数表明，该模型的基本再生数存在一个阈值动力学。大致来说，如果基本再生数 R<1，载体传播疾病就会消失；否则，它就会持续存在。此外，数值模拟表明，通过控制载体可以有效减缓载体传播疾病的传播。
