COMPUTATIONAL ANALYSIS OF FRACTIONAL ORDER IMPERFECT TESTING INFECTION DISEASE MODEL

Zareen A. Khan (), Aziz Khan (), Thabet Abdeljawad and Hasib Khan ()
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Zareen A. Khan: Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia
Aziz Khan: ��Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia
Thabet Abdeljawad: ��Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia‡Department of Medical Research, China Medical University, Taichung 40402, Taiwan
Hasib Khan: �Department of Mathematics, Shaheed Benazir Bhutto University, Dir Upper 18000, Khybar Pakhtunkhwa, Pakistan

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-17

Abstract: These days the whole world is facing a serious problem of infectious maladies and how to control the endemic of these diseases. Testing correctly is one of the most important procedures in preventing the spread of infectious diseases, as incorrect testing can turn a susceptible person into an infected person. In this paper, we study the dynamics of imperfect testing and diagnostics of infectious diseases model by replacing the integer order derivative in the sense of fractional order Atangana–Baleanu operator coupled with Caputo operator. This AB-fractional operator is the generalization of classical derivative and gives more data of the factors of the nonlocal dynamical frameworks. Fixed point theorems have been used for the verification of existence results and Picard’s stability technique utilized for the stability study of a fractional order imperfect testing infectious disease (ITID) model. Finally, numerical computations are implemented for the fractional order ITID model to illustrate the results graphically.

Keywords: Atangana–Baleanu Operators; Caputo Operator; Stability Analysis; Fixed Point Theory (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401697

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