Dynamical Analysis and Optimal Control for a SEIR Model Based on Virus Mutation in WSNs

With the rapid development of science and technology, application wireless sensor networks (WSNs) is more widely. It has been widely concerned by scholars. Viruses are one main threats to WSNs. In this paper, based on principle epidemic dynamics, we build a SEIR propagation model with mutated virus in WSNs, where E nodes infectious cannot be repaired S or R nodes. Subsequently, basic reproduction number R0, local stability global system analyzed. The cost function Hamiltonian constructed taking repair ratio infected as optimization control variables. Based Pontryagin maximum principle, an optimal strategy designed effectively spread minimize total cost. simulation results show that guiding significance curb