%0 Journal Article
%T 一类具有不连续控制策略的网络病毒模型的动力学分析<br>Dynamics of a Network Virus Model with Discontinuous Control Strategies
%A 徐忠齐
%J Advances in Applied Mathematics
%P 4142-4262
%@ 2324-8009
%D 2022
%I Hans Publishing
%R 10.12677/AAM.2022.117441
%X 本文研究了一类具有安装杀毒软件和重装系统策略的分段连续网络病毒模型，从控制成本考虑， 我们将根据网络用户的数量作为考虑是否启动控制策略的决定因素。 利用 Bendixson-Dulac 准则，格林公式，？ 极限集和 Poincar′e 映射等知识分析了模型的全局动力学，并进行了数值模拟。<br />
This paper studies a kind of piecewise continuous network virus model with anti-virus software installation and system reinstallation strategy. Considering the control cost, we will consider whether to start the control strategies according to the number of network users. The global dynamics of the model are analyzed by using Bendixson- Dulac criterion, Green’s formula, ？ limit set and Poincar′e map and so on. In the end, numerical simulations are carried out.
%K 分段连续，网络病毒，Poincaré映射，全局动力学<br>Piecewise Continuous
%K Network Virus
%K Poincaré Map
%K Global Dynamics
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=53271