TY  - EJOU
AU  - Arif, Muhammad Shoaib  
AU  - Raza, Ali  
AU  - Rafiq, Muhammad  
AU  - Bibi, Mairaj  
AU  - Fayyaz, Rabia  
AU  - Naz, Mehvish  
AU  - Javed, Umer  

TI  - A Reliable Stochastic Numerical Analysis for Typhoid Fever Incorporating With Protection Against Infection
T2  - Computers, Materials \& Continua

PY  - 2019
VL  - 59
IS  - 3
SN  - 1546-2226

AB  - 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.
KW  - Typhoid fever
KW  -  stochastic differential equations
KW  -  euler maruyama scheme
KW  -  stochastic euler scheme
KW  -  stochastic runge-kutta scheme
KW  -  stochastic NSFD scheme

DO  - 10.32604/cmc.2019.04655