Abstract
Wireless Sensor network (WSN) is used for a wide range of uses, including defense, healthcare, environmental tracking etc. In this work, we have formulated a Susceptible-infected-terminally infected-recovered (SITR) model to investigate the offensive worm dynamics in remote sensor networks utilizing Sokol-Howell functional response. The positive invariance and boundedness of the model have been investigated in the proposed work. In addition to that, the existence of possible equilibrium points with feasible conditions has been evaluated. The local stability of all equilibrium points and the global stability of the interior steady state of nodes are measured with the Rougth-Hurwitz criteria, Lasalle’s invariance principle, and Bendixson-Dulac criteria. The impact of noise on the proposed model is being investigated. The numerical imitations are carried out, which strengthens the diagnostic discoveries. Our numerical simulation reveals that growth rate, internode interference coefficients, and crashing rates are critical to the model's dynamics.
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