A reliable numerical analysis for stochastic gonorrhea epidemic model with treatment effect  

作　　者：Ali Raza Muhammad Shoaib Arif Muhammad Ualiq 

机构地区：[1]Department of Mathematics Stochastic Analysis and Optimization Research Group Air University,PAF Complex E-9 Islamabad 44000,Pedral,Pakistan [2]Faculty of Engineering.University of Central PunjabLahore 54000,Punjab,Pakistan

出　　处：《International Journal of Biomathematics》2019年第6期221-246,共26页生物数学学报（英文版）

摘　　要：The phenomena of disease spread are unpredictable in nature due to random mixing of individuals in a population.It is of more significance to include this randomness while modeling infectious diseases.Modeling epidemics including tlieir stochastic behavior could be a more realistic approach in many situations.In thus paper,a stochastic gon orrhea epidemic model with treatment effect has been analyzed numerically.Numerical solution of stochastic model is presented in comparison with its deterministic part.The dynamics of the gonorrhea disease is governed by a threshold quantity Ai called basic reproductive number.If.A1<1.then disease eventually dies out while A1>1 shows the persistence of disease in population.The standard numerical schemes like Euler Maruyaina.stochastic Euler and stochastic Rurige Kutta are highly dependent on step size and do not behave well in certain scenarios.A competitive non-standard finite dif ference numerical scheme in stochastic setting is proposed,which is independent of step size and remains consistent with the corresponding deterministic model.

关 键 词：GONORRHEA disease STOCHASTIC differential EQUATIONS STOCHASTIC numerical SCHEMES 

分 类 号：O17[理学—数学]