Transmission dynamics of fractional order Typhoid fever model using Caputo–Fabrizio operator

Amjad S. Shaikh and Kottakkaran Sooppy Nisar

Chaos, Solitons & Fractals, 2019, vol. 128, issue C, 355-365

Abstract: In this manuscript, we develop existence, uniqueness and stability criteria for fractional order Typhoid fever model having Caputo–Fabrizio operator by using fixed point theory. This approach of the fractional derivative is relatively new for such kind of biological models. We have also obtained the first accessible approximate solutions for a proposed model by utilizing iterative Laplace transform method. This technique is a combination of one of the reliable method known as new iterative method and Laplace transform method. Finally, we have evaluated parameters that portray the conduct of illness and present the numerical simulations using plots.

Keywords: Mathematical models; Typhoid fever; Caputo-Fabrizio derivative; Existence; uniqueness and stability; Numerical simulations (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:128:y:2019:i:c:p:355-365

DOI: 10.1016/j.chaos.2019.08.012

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