Abstract
With the rapid development of science and technology, the application of wireless sensor networks (WSNs) is more and more widely. It has been widely concerned by scholars. Viruses are one of the main threats to WSNs. In this paper, based on the principle of epidemic dynamics, we build a SEIR propagation model with the mutated virus in WSNs, where E nodes are infectious and cannot be repaired to S nodes or R nodes. Subsequently, the basic reproduction number R0, the local stability and global stability of the system are analyzed. The cost function and Hamiltonian function are constructed by taking the repair ratio of infected nodes and the repair ratio of mutated infected nodes as optimization control variables. Based on the Pontryagin maximum principle, an optimal control strategy is designed to effectively control the spread of the virus and minimize the total cost. The simulation results show that the model has a guiding significance to curb the spread of mutated virus in WSNs.
Highlights
Because E nodes are mainly latent and the mutated virus is more infectious, λ2 is greater than λ1 and λ1 is greater than λ3
We use epidemiology to propose an improved SEIR model based on virus mutation, where E nodes are infectious and cannot be repaired to S nodes or R nodes, virus mutation, where E nodes are infectious and cannot be repaired to S nodes or R
The basic renumber of the improved model is calculated by the generation matrix method and the production number of the improved model is calculated by the generation matrix local and global stability of the two equilibrium points are proved by analyzing the stability method and the local and global stability of the two equilibrium points are proved by of the model
Summary
WSN is a self-organizing network system composed of a large number of sensor nodes deployed in a specific area through wireless communication [1,2]. It can achieve dynamic and real-time information monitoring, sensing and collection of monitoring objects in the network coverage area through the cooperation between nodes. Viruses may mutate in wireless sensor networks because of the similarities between computers network and WSNs. most of the research on the mutated virus focuses on infectious diseases [12,13].
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