Existence and Numerical Analysis of Imperfect Testing Infectious Disease Model in the Sense of Fractional-Order Operator

Author:

Alshehri Hashim M.1,Khan Hasib2,Khan Zareen A.3ORCID

Affiliation:

1. Mathematics Department, Faculty of Science, King Abdulaziz University, Jeddah 21521, Saudi Arabia

2. Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, 18000 Khyber Pakhtunkhwa, Pakistan

3. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Abstract

In the present paper, we study a mathematical model of an imperfect testing infectious disease model in the sense of the Mittage-Leffler kernel. The Banach contraction principle has been used for the existence and uniqueness of solutions of the suggested model. Furthermore, a numerical method equipped with Lagrangian polynomial interpolation has been utilized for the numerical outcomes. Diagramming and discussion are used to clarify the effects of related parameters in the fractional-order imperfect testing infectious disease model.

Funder

Princess Nourah bint Abdulrahman University

Publisher

Hindawi Limited

Subject

Analysis

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