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<p>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&#xa0;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.</p>

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Existence, uniqueness, and stability of a sex-structured fractional HIV epidemic model with exponential kernel

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月20日

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  • Sultan Alyobi,
  • Ahmad Shafee

摘要

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.