Analysis of a Worm Virus Propagation Model Based on Differential Equation

Abstract

The reasonable design of worm propagation model can provide a basis for accurately predicting and analyzing the propagation law and mechanism of worm malicious code in the Internet, and help to further carry out the research on worm protection, detection and suppression technology. This paper introduces the transmission model of infectious diseases in the field of biopathology to analyze the transmission mechanism of network worms, and a class of network worm virus transmission model based on differential equations is established by using LaSalle invariant set principle and orbital stability theory of differential equations. The results show that the basic regeneration number is the threshold value of eliminating worm virus and keeping worm virus in a certain range. When the basic regeneration number is less than or equal to 1, worm virus is eliminated effectively. When the basic regeneration number is greater than 1, the worm virus will persist or stabilize in a certain state.