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

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 realist...

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Bibliographic Details
Published in:Computers, materials & continua materials & continua, 2019-01, Vol.59 (3), p.787-804
Main Authors: Shoaib Arif, Muhammad, Raza, Ali, Rafiq, Muhammad, Bibi, Mairaj, Fayyaz, Rabia, Naz, Mehvish, Javed, Umar
Format: Article
Language:English
Subjects:
Computer simulation
Fever
Finite difference method
Mathematical models
Numerical analysis
Typhoid
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Summary: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.
ISSN:1546-2226
1546-2218
1546-2226
DOI:10.32604/cmc.2019.04655