The spread of the human immunodeficiency virus (HIV) remains a major threat to public health in the Middle East and North Africa (MENA). This research relies on the epidemiological patterns of HIV spread among the people of the Sultanate of Oman. To provide light on the actions of various categories, a sex-structured fractional-order differential model is constructed. One specific derivative with an exponential kernel has received extensive use in recent years for a wide range of applications. A fixed-point method, like that of Banach and Krasnoselskii, is used to achieve the necessary results. The semi-analytical findings are then further investigated using iterative methods like Adomian decomposition and Laplace. The model’s parameters are calibrated, and plots of those values vs several orders of differentiation are produced. HIV research from all across the world contributed to the development of these results.
Alyobi et al. (Mon,) studied this question.