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Bio-Inspired Modelling of Disease Through Delayed Strategies

Arooj Nasir1,2, Dumitru Baleanu3,4,5, Ali Raza6,*, Pervez Anwar7, Nauman Ahmed8, Muhammad Rafiq9, Tahir Nawaz Cheema10

1 Baqai Medical University, Karachi, 75340, Pakistan
2 Shalamar Medical and Dental College, Lahore, 54000, Pakistan
3 Department of Mathematics, Cankaya University, Balgat, Ankara, 06530, Turkey
4 Department of Medical Research, China Medical University, Taichung, 40402, Taiwan
5 Institute of Space Sciences, Magurele-Bucharest, 077125, Romania
6 Department of Mathematics, Govt. Maulana Zafar Ali Khan Graduate College Wazirabad, Punjab Higher Education Department (PHED), Lahore, 54000, Pakistan
7 Department of Biochemistry, University of Sialkot, Sialkot, 51310, Pakistan
8 Department of Mathematics and Statistics, The University of Lahore, Lahore, 54590, Pakistan
9 Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, 54000, Pakistan
10 Department of Mathematics, University of Gujrat, Gujrat, 52000, Pakistan

* Corresponding Author: Ali Raza. Email:

Computers, Materials & Continua 2022, 73(3), 5717-5734.


In 2020, the reported cases were 0.12 million in the six regions to the official report of the World Health Organization (WHO). For most children infected with leprosy, 0.008629 million cases were detected under fifteen. The total infected ratio of the children population is approximately 4.4 million. Due to the COVID-19 pandemic, the awareness programs implementation has been disturbed. Leprosy disease still has a threat and puts people in danger. Nonlinear delayed modeling is critical in various allied sciences, including computational biology, computational chemistry, computational physics, and computational economics, to name a few. The time delay effect in treating leprosy delayed epidemic model is investigated. The whole population is divided into four groups: those who are susceptible, those who have been exposed, those who have been infected, and those who have been vaccinated. The local and global stability of well-known conclusions like the Routh Hurwitz criterion and the Lyapunov function has been proven. The parameters’ sensitivity is also examined. The analytical analysis is supported by computer results that are presented in a variety of ways. The proposed approach in this paper preserves equilibrium points and their stabilities, the existence and uniqueness of solutions, and the computational ease of implementation.


Cite This Article

A. Nasir, D. Baleanu, A. Raza, P. Anwar, N. Ahmed et al., "Bio-inspired modelling of disease through delayed strategies," Computers, Materials & Continua, vol. 73, no.3, pp. 5717–5734, 2022.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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