An impulse dynamic model for computer worms
type: Item
instance of: scholarly article
title: An impulse dynamic model for computer worms
zbMATH Open document ID: 1298.34084
DOI: 10.1155/2013/286209
author: Chunming Zhang
author: Yun Zhao
author: Yingjiang Wu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: A worm spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive virus-free periodic solution when the vaccination rate is larger than \(\theta_1\). Moreover, we show that the system is uniformly persistent if the vaccination rate is less than \(\theta_1\). Some numerical simulations are also given to illustrate our main results.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 6306610
zbMATH Keywords: impulsive control strategy
zbMATH Keywords: attractive virus-free periodic solution
zbMATH Keywords: numerical simulations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/286209
OpenAlex ID: W2023643904
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Wikidata QID: Q58915828
description: scientific article; zbMATH DE number 6306610