Open Access

ARTICLE

A Reliable Stochastic Numerical Analysis for Typhoid Fever Incorporating With Protection Against Infection

Muhammad Shoaib Arif^1,*, Ali Raza¹, Muhammad Rafiq², Mairaj Bibi³, Rabia Fayyaz³, Mehvish Naz³, Umer Javed⁴

1 Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan.
2 Faculty of Engineering, University of Central Punjab, Lahore, 54500, Pakistan.
3 Department of Mathematics, Comsats University, Chak Shahzad Campus, Islamabad, 44000, Pakistan.
4 Department of Electrical and Computer Engineering, Comsats University, Wah Campus, 47040, Islambad, Pakistan

* Corresponding Author: Muhammad Shoaib Arif. Email: .

Computers, Materials & Continua 2019, 59(3), 787-804. https://doi.org/10.32604/cmc.2019.04655

Abstract

In this paper, a reliable stochastic numerical analysis for typhoid fever incorporating with protection against infection has been considered. We have compared the solutions of stochastic and deterministic typhoid fever model. It has been shown that the stochastic typhoid fever model is more realistic as compared to the deterministic typhoid fever model. The effect of threshold number T* hold in stochastic typhoid fever model. The proposed framework of the stochastic non-standard finite difference scheme (SNSFD) preserves all dynamical properties like positivity, bounded-ness and dynamical consistency defined by Mickens, R. E. The stochastic numerical simulation of the model showed that increase in protection leads to low disease prevalence in a population.

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