TY - JOUR
TI - Mathematical and numerical investigations of fractional stochastic epidemic model
AU - Ayaz Armughan
AU - Alharthi Thoraya N
AU - Muhammad Aziz Ur
AU - Elnaggar Ghada R
AU - Rafiq Muhammad
AU - Iqbal Zafar
AU - Ahmed Nauman
AU - Akgul Ali
AU - Khan Ilyas
JN - Thermal Science
PY - 2025
VL - 29
IS - 5
SP - 3669
EP - 3679
PT - Article
AB - Sexually transmitted diseases are infectious diseases and a significant  threat to human health. In this work, a standard integer-order model of  Chlamydia is transformed into a fractional-order stochastic mathematical  model. The steady-state of the continuous system is determined and  considered for disease forecasting and stability analysis. The fractional  stochastic system is tested for stability at both equilibrium states by  following the classical Jacobian matrix theory. It is investigated the  underlying epidemic model has a unique solution. The non-negative and  bounded solutions of the model also provide a deeper understanding of the  disease propagation. Then, a finite difference numerical algorithm is  constructed for approximating the solution. To assess the efficiency of the  algorithm, non-negativity and boundedness of the numerical method are  investigated. Furthermore, the algorithm is applied to a test example to  obtain the simulated graphs. Ultimately, the study's outcomes are summarized  in the form of conclusions.