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Bifurcation And Global Exponential Stability Of A Mathematical Model For Malware Dissemination On Wireless Sensor Networks

Author

Listed:
  • ZIZHEN ZHANG

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

  • WEISHI ZHANG

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

  • KOTTAKKARAN SOOPPY NISAR

    (Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Alkharj 11942, Saudi Arabia)

  • NADIA GUL

    (Department of Mathematics, Shaheed Benazir Bhutto Women University, Peshawar 25000, Khyber Pakhtunkhwa, Pakistan)

  • ZAHID AHMED

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

Abstract

The main aim of this paper is to analyze a mathematical model for malware dissemination on wireless sensor networks with time delay. Local stability and exhibition of the Hopf bifurcation are explored by means of analysis of the distribution of roots of the consequential characteristic equation. Moreover, global exponential stability is established with the help of linear matrix inequality techniques. Furthermore, properties of the Hopf bifurcation such as the direction and stability are studied by utilizing the normal form theory and the center manifold theorem. Finally, a computer numerical simulation example is presented to certify the rationality of our obtained results.

Suggested Citation

  • Zizhen Zhang & Weishi Zhang & Kottakkaran Sooppy Nisar & Nadia Gul & Zahid Ahmed, 2023. "Bifurcation And Global Exponential Stability Of A Mathematical Model For Malware Dissemination On Wireless Sensor Networks," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-15.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23401655
    DOI: 10.1142/S0218348X23401655
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