Hopf bifurcation and optimal control of a delayed malware propagation model on mobile wireless sensor networks

• DOI: 10.1016/j.rinp.2022.105926
• Publication Date: 2022-08-28T05:48:52Z
• Authors: Hu Zhang; Ranjit Kumar Upad...; Guiyun Liu; Zizhen Zhang
• Keywords: Center manifold; Basic reproduction number

In present paper, a delayed SEIR model of malware propagation on mobile wireless sensor networks is formulated. Basic reproduction number the calculated by employing next generation matrix method and impact time delay due to incubation period discussed with help eigenvalue method. What more, properties Hopf bifurcation are derived using center manifold To minimize infectious nodes cost related detoxication, an optimal control strategy presented constructing suitable Hamiltonian function. Numerical calculations performed justify obtained theoretical findings.