A new modeling and existence–uniqueness analysis for Babesiosis disease of fractional order

Author:

Jena Rajarama Mohan1,Chakraverty Snehashish1,Yavuz Mehmet23ORCID,Abdeljawad Thabet45

Affiliation:

1. Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, Odisha, India

2. Department of Mathematics, College of Engineering, Mathematics and Physical Sciences, University of Exeter, Penryn TR10 9FE, Cornwall, UK

3. Department of Mathematics and Computer Sciences, Necmettin Erbakan University, Meram, Konya 42090, Turkey

4. Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box No. 66833, Rafha Street, Riyadh 11586, Saudi Arabia

5. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

In this study, we consider the dynamics of the Babesiosis transmission on bovine populations and ticks. The most important role in the transmission of the parasite is the ticks from the Ixodidae family. The vector tick takes factors (merozoites in erythrocytes) from the diseased animal while sucking the blood. To model and investigate the transmissions of this parasite and address this important issue, we have considered the disease in a fractional epidemiological model. This paper, therefore, discusses the mechanisms of transmission of Babesiosis defined in the fractional derivative sense. The Caputo–Fabrizio (CF) derivative is considered to study the propagation mechanisms of Babesiosis. First, the important characteristics of the model have been presented, and then the transmission of the Babesiosis model defined in CF is discussed. The application of fixed-point theory is used to derive the concept of the qualitative properties of the mentioned model. The solution is obtained by using the Homotopy perturbation Elzaki transform method (HPETM). Numerical simulations are performed, and the effects of the arbitrary-order derivatives are investigated graphically.

Funder

INSPIRE Fellowship of the Government of India

TUBITAK

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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