Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats

Zain Ul Abadin Zafar, Nigar Ali and Dumitru Baleanu

Chaos, Solitons & Fractals, 2021, vol. 151, issue C

Abstract: In this paper an arbitrary order model for Toxoplasmosis ailment in the humanoid and feline is verbalized and explored. The dynamics of this ailment is discovered using an epidemiology type paradigm. We have proposed the fractional order multistage differential transform method for the Toxoplasmosis model. It is employed to analyze and find the elucidation for the model, and the numerical simulations have been conducted in order to study the effectiveness of the technique. The suggested algorithm can be considered as a fractional extension of the well know method known as Multistage Differential Transform Method. The sensitivity analysis of the strictures of the specimen is discussed. The numeric imitations of the projected non-integer specimens are conceded out to illustrate different dynamics of the model, which depend on R0.

Keywords: Cats populace; Toxoplasmosis disease; Fractional derivatives; Stability; Global stability; Ecology; Multistage differential transform method (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006159

DOI: 10.1016/j.chaos.2021.111261

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