Delay effect of an e-epidemic SEIRS malware propagation model with a generalized non-monotone incidence rate

Malware such as virus, worm, and Trojan horse, is a software designed to pose harmful and undesirable effects on communication networks. It can cause numerous sever damage like data loss, repeated occupation of the memory space and corrupting databases etc. To overcome such and other related drastic threats, we need to fight against and control spread of malware at large scale. For this goal, a delayed e-epidemic SEIRS malware propagation model with a generalized non-monotone incidence rate is formulated in our paper. The basic reproduction number is derived. Then local stability and Hopf bifurcation analysis of the viral equilibrium is performed. Further, properties of the Hopf bifurcation are carried out. Finally, numerical simulations are implemented to justify the theoretical findings.

Abstract licence: CC BY-NC

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