BIFURCATION AND GLOBAL EXPONENTIAL STABILITY OF A MATHEMATICAL MODEL FOR MALWARE DISSEMINATION ON WIRELESS SENSOR NETWORKS

Zizhen Zhang, Weishi Zhang, Kottakkaran Sooppy Nisar, Nadia Gul and Zahid Ahmed
Additional contact information
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

FRACTALS (fractals), 2023, vol. 31, issue 10, 1-15

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.

Keywords: Hopf Bifurcation; Wireless Sensor Networks; Global Exponential Stability; Time Delay (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X23401655
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23401655

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X23401655

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().