Stochastic Numerical Analysis for Impact of Heavy Alcohol Consumption on Transmission Dynamics of Gonorrhoea Epidemic |
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| Authors: | Kamaleldin Abodayeh Ali Raza Muhammad Shoaib Arif Muhammad Rafiq Mairaj Bibi Muhammad Mohsin |
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| Affiliation: | 1.Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.
2 Stochatic Analysis & Optimization Research Group, Department of Mathematics, Air University, PAF
Complex E-9, Islamabad, 44000, Pakistan.
3 Faculty of Engineering University of Central Punjab, Lahore, Pakistan.
4 Department of Mathematics, Comsats University, Chak Shahzad Campus park road, Islamabad, Pakistan.
5 Department of Mathematics, Uppsala University, Uppsala, Sweden. |
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| Abstract: | This paper aims to perform a comparison of deterministic and stochastic
models. The stochastic modelling is a more realistic way to study the dynamics of
gonorrhoea infection as compared to its corresponding deterministic model. Also, the
deterministic solution is itself mean of the stochastic solution of the model. For numerical
analysis, first, we developed some explicit stochastic methods, but unfortunately, they do
not remain consistent in certain situations. Then we proposed an implicitly driven explicit
method for stochastic heavy alcohol epidemic model. The proposed method is
independent of the choice of parameters and behaves well in all scenarios. So, some
theorems and simulations are presented in support of the article. |
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| Keywords: | Heavy alcohol model stochastic techniques stability analysis |
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