Abstract
In this paper, an attempt has been made to develop a compartmental Epidemic model on the transmission of malicious objects in a computer network with natural death (that is, crashing of nodes due to the reason other than the attack of malicious objects) and vertical transmission. In this model there are two possibilities of computer network: one of high infectious server nodes having high intensity rate of malicious attack while another is low infectious client nodes having low intensity rate of malicious attack. The high infectious server nodes transfer the malicious objects to the low infectious client nodes in the computer network. The low infectious client nodes recover with temporary immunity and becomes again susceptible to the high infectious server nodes but at a lower rate. This needs to develop effective immunity after a period of time and a fully automatic defense mechanism to protect computer networks from modern and fast propagating worms. The stability of the result is stated in terms of the Jacobian of the system and the basic reproduction number is also well-defined. Numerical methods and MATLAB are employed to solve and simulate the system of equations developed and analysis of the model gives remarkable exposure.
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