复杂网络上考虑疫苗接种和失效的疟疾传播动力学分析

摘要：

本文基于复杂网络建立了具有疫苗接种和失效的疟疾传播动力学模型，首先利用正平衡点的存在性计算了基本再生数R_o，然后证明了当R_o<1时无病平衡点的局部渐近稳定性和全局渐近稳定性，同时证明了当R_o>1时系统是一致持续的；最后，进行了敏感性分析和数值模拟验证了理论结果。

In this paper, we established a model of malaria transmission dynamics with vaccination and failure based on complex networks. Firstly, we calculated the basic reproduction number R_o using the existence of positive equilibrium point.Then we proved the local asymptotic stability and global asymptotic stability of disease-free equilibrium point when R_o<1 and meanwhile we proved that the system is uniformly persistent when R_o>1. Lastly, we carried out the sensitivity analyses and numerical simulations to validate the theoretical results.

作者：

刘梦瑶，张瑞霞

Liu Mengyao, Zhang Ruixia

机构地区：

中北大学数学学院

引用本文：

刘梦瑶，张瑞霞。复杂网络上考虑疫苗接种和失效的疟疾传播动力学分析[J].河南师范大学学报(自然科学),2026,54(4):66-74. (Liu Mengyao,Zhang Ruixia. Malaria transmission dynamics on complex networks withvaccination and failure[J].Journal of Henan Normal University (Natural Science Edition),2026. 54(4):66-74.DOI:10.16366/j.cnki.1000-2367.2025.09.27.0001.)

基金：

国家自然科学基金；山西省自然科学基金

关键词：

疟疾；疫苗接种；稳定性；复杂网络

emporal link prediction;network embedding;graph convolutional network;gated recurrent unit

(GRU);dynamic network

分类号：

O175.13

复杂网络上考虑疫苗接种和失效的疟疾传播动力学分析.pdf