Abstract

With the rapid development of M2M wireless network, damages caused by malicious worms are getting more and more serious. The main goal of this paper is to explore the influences of removable devices on the interaction dynamics between malicious worms and benign worms by using a mathematical model. The model takes two important network environment factors into consideration: benign worms and the influences of removable devices. Besides, the model’s basic reproduction number is obtained, along with the correct control conditions of the local and global asymptotical stability of the worm-free equilibrium. Simulation results show that the effectiveness of our proposed model in terms of reflecting the influences of removable devices on the interaction dynamics of an anti-treat model. Based on numerical analyses and simulations, effective methods are proposed to contain the propagation of malicious worms by using anti-worms.

Highlights

  • Worm is a program that can run by itself and can replicate and spread autonomously in the network.With the rapid development of information technology, M2M technologies have been widely used in mobile communication, medical care, military reconnaissance, and so on

  • Global Internet Security Threat Report [1], the year 2014 was a year with far-reaching vulnerabilities, faster attacks, files held for ransom, and far more malicious code than in previous years

  • We propose a novel dynamical model to study the dynamics of interaction infection between malicious worms and benign worms

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Summary

Introduction

Worm is a program that can run by itself and can replicate and spread autonomously in the network. While people are enjoying the convenience, the damages caused by malicious worms and their variants in M2M wireless network are becoming increasingly serious, due to the variety of network forms, the openness of information, the mobility of communication applications, the security vulnerability of operating systems, the complexity of network nodes, and so on. We propose a novel dynamical model to study the dynamics of interaction infection between malicious worms and benign worms. It is important to study the dynamics of interaction infection between computers and removable devices. We analyze the malicious worm propagation in an M2M wireless network by using the mathematical model. We consider the influences of removable devices on the interaction dynamics between malicious worms and benign worms in our model.

Existing Worm Propagation Models
The Limitation of Existing Worm Propagation Models
Our Proposed Worm Propagation Model
The Model
The Basic Reproductive Number of Our Model
The Stability Analysis for Worm-Free Equilibrium P0
The Local Asymptotical Stability of Worm-free Equilibrium P0
Simulations
Control Strategies
Conclusions
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