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Mathematical Analysis Of A Delayed Malware Propagation Model On Mobile Wireless Sensor Network

Author

Listed:
  • XIAODONG YU

    (School of Internet of Things Engineering, Wuxi University, Wuxi 214105, P. R. China)

  • ANWAR ZEB

    (��Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Khyber Pakhtunkhwa, Pakistan)

  • ZIZHEN ZHANG

    (��School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, P. R. China)

Abstract

The security of mobile wireless sensor networks has captivated extensive attention of researchers because of their wide range of applications and vulnerability to attacks caused by malware. In this paper, we investigate a delayed malware propagation model on mobile wireless sensor network incorporating nonlinear incidence rate, logistic growth rate and recovery rate. Local asymptotic stability of the endemic equilibrium and existence of Hopf bifurcation at crucial value of the time delay are analyzed. Then, properties of Hopf bifurcation are explored. Specifically, global exponential stability is investigated via linear matrix inequality. An example is presented finally to underline the effectiveness of findings in our paper numerically and graphically.

Suggested Citation

  • Xiaodong Yu & Anwar Zeb & Zizhen Zhang, 2022. "Mathematical Analysis Of A Delayed Malware Propagation Model On Mobile Wireless Sensor Network," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-12, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401600
    DOI: 10.1142/S0218348X22401600
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