Modeling the Effect of Malicious Objects in Sensor Networks and Its Control by Anti-Malicious Software

The effect of malicious objects on computer network system has been a burning issue during the last several years. It is well known that malicious objects spread very fast through a susceptible network causing damage to nodes and corrupt the files. Thus, the control of malicious objects is crucial for the efficient working of computer network system. To extenuate the copiousness of malicious objects, anti-malicious softwares are installed in the network system. Therefore, in this paper, an attempt has been made to study the effect of malicious objects on computer network system and its control by anti-malicious programs using a nonlinear mathematical model. The model, under consideration, consists of four non-linearly interacting dependent variables namely, number densities of susceptible computers, infected computers, malicious objects and anti-malicious software. The model is analyzed using the stability theory of ordinary differential equations. It has been shown that the number density of infected individuals increases as the interaction rate coefficient of malicious objects with computer network system increases. It is, further, shown that the number density of infected computers can be reduced by using anti-malicious software. It has also been shown that the computer network system can be made free from malicious objects under certain conditions. Numerical simulations have also been performed to support the analytical results.