一类具有不连续控制策略的网络病毒模型的动力学分析

doi:10.12677/AAM.2022.117441

期刊菜单

一类具有不连续控制策略的网络病毒模型的动力学分析
Dynamics of a Network Virus Model with Discontinuous Control Strategies

DOI: 10.12677/AAM.2022.117441, PDF, HTML, 下载: 211 浏览: 271
作者: 徐忠齐：长沙理工大学，数学与统计学院，湖南长沙
关键词: 分段连续；网络病毒；Poincaré映射；全局动力学；Piecewise Continuous； Network Virus； Poincaré Map； Global Dynamics

摘要: 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，Ω 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。

Abstract: 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, Ω limit set and Poincar´e map and so on. In the end, numerical simulations are carried out.

文章引用：徐忠齐. 一类具有不连续控制策略的网络病毒模型的动力学分析[J]. 应用数学进展, 2022, 11(7): 4142-4262. https://doi.org/10.12677/AAM.2022.117441

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