Effect of Delay in SMS Worm Propagation in Mobile Network with Saturated Incidence Rate

Abstract

Cell phones are getting increasingly well known. SMS worms spread themselves by sending messages, which can rapidly taint a large number of cell phones and cause incredible harm to clients. Consequently, it is critical to investigate and foresee the proliferation of SMS worms to diminish their expected danger. In this article, we propose a worm spread model in light of SMS, named SAID (Susceptible-Affected-Infected-suspended) with a saturated incidence rate and time delay. To precisely foresee the worm proliferation by means of SMS, first, we add the impacted state to address the condition of clients who have gotten the messages yet have not tapped the malignant connections. Second, since an infected node doesn't necessarily send pernicious messages to other people, a novel express, the suspended state, which gets some margin to affected node to infected node in mobile network. Specifically, nonlinear stability, hopf bifurcation and its direction and steadiness of the periodic solution not entirely settled by utilizing the centre manifold theorem. At last, a few numerical simulations are presented to check the analytical results.