A Delayed Epidemic Model for Propagation of Malicious Codes in Wireless Sensor Network

Zizhen Zhang, Soumen Kundu and Ruibin Wei
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Zizhen Zhang: School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China
Soumen Kundu: Department of Mathematics, National Institute of Technology Durgapur, Durgapur 713209, India
Ruibin Wei: School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China

Mathematics, 2019, vol. 7, issue 5, 1-18

Abstract: In this paper, we investigate a delayed SEIQRS-V epidemic model for propagation of malicious codes in a wireless sensor network. The communication radius and distributed density of nodes is considered in the proposed model. With this model, first we find a feasible region which is invariant and where the solutions of our model are positive. To show that the system is locally asymptotically stable, a Lyapunov function is constructed. After that, sufficient conditions for local stability and existence of Hopf bifurcation are derived by analyzing the distribution of the roots of the corresponding characteristic equation. Finally, numerical simulations are presented to verify the obtained theoretical results and to analyze the effects of some parameters on the dynamical behavior of the proposed model in the paper.

Keywords: boundedness; delay; Hopf bifurcation; Lyapunov functional; stability; SEIQRS-V model (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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