{"id":4079,"date":"2025-04-15T07:36:05","date_gmt":"2025-04-15T07:36:05","guid":{"rendered":"https:\/\/fs.kibu.ac.ke\/?p=4079"},"modified":"2025-12-27T00:32:29","modified_gmt":"2025-12-27T00:32:29","slug":"mathematical-modelling-of-prevention-measures-of-hiv-and-aids-in-kenya","status":"publish","type":"post","link":"https:\/\/kibu.ac.ke\/fs\/mathematical-modelling-of-prevention-measures-of-hiv-and-aids-in-kenya\/","title":{"rendered":"Mathematical Modelling of Prevention Measures of HIV and Aids in Kenya"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"4079\" class=\"elementor elementor-4079\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-171c4396 elementor-section-full_width elementor-section-height-min-height elementor-section-items-stretch elementor-section-height-default\" data-id=\"171c4396\" data-element_type=\"section\" id=\"ourgoal\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4f9eeaef\" data-id=\"4f9eeaef\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-473c7ceb elementor-widget elementor-widget-theme-post-title elementor-page-title elementor-widget-heading\" data-id=\"473c7ceb\" data-element_type=\"widget\" data-widget_type=\"theme-post-title.default\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Mathematical Modelling of Prevention Measures of HIV and Aids in Kenya<\/h1>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-d2c12b elementor-section-height-min-height elementor-section-boxed elementor-section-height-default elementor-section-items-middle\" data-id=\"d2c12b\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-381be8dc\" data-id=\"381be8dc\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-46644d34 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"46644d34\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-35af0eb1 elementor-invisible\" data-id=\"35af0eb1\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeIn&quot;,&quot;animation_mobile&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3f9e4a3c elementor-widget__width-auto elementor-widget elementor-widget-heading\" data-id=\"3f9e4a3c\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">2024<\/h2>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-945c893 elementor-invisible\" data-id=\"945c893\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeIn&quot;,&quot;animation_mobile&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3bc1a55 elementor-widget elementor-widget-heading\" data-id=\"3bc1a55\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">KIBU Authors<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-519fe291 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"519fe291\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeIn&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>Sirengo John Luca<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-642f1176 elementor-invisible\" data-id=\"642f1176\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeIn&quot;,&quot;animation_mobile&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6ef7608c elementor-tablet-align-left elementor-invisible elementor-widget elementor-widget-button\" data-id=\"6ef7608c\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInLeft&quot;}\" data-widget_type=\"button.default\">\n\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm elementor-animation-shrink\" href=\"https:\/\/www.irejournals.com\/paper-details\/1706500\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">VIEW ON PUBLISHER SITE<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-224ca8a9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"224ca8a9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-6ccc5fac elementor-invisible\" data-id=\"6ccc5fac\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;animation&quot;:&quot;fadeIn&quot;,&quot;animation_mobile&quot;:&quot;none&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-76858293 elementor-widget elementor-widget-heading\" data-id=\"76858293\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Abstract<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5ad7a12c elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"5ad7a12c\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeIn&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<div class=\"card indipaper-list-c1\"><div class=\"card-body\"><div class=\"row\"><div class=\"col-md-10\"><p class=\"text-justify\">This study develops and analyzes mathematical models to understand and evaluate prevention measures for HIV (Human Immunodeficiency Virus) and AIDS (Acquired Immunodeficiency Syndrome) in Kenya, with particular focus on high-risk populations. The research employs a deterministic compartmental model using Ordinary Differential Equations (ODEs) to simulate disease transmission dynamics. The population is divided into three compartments: Susceptible (S), HIV-infected without AIDS symptoms (I), and AIDS patients (A). The model&#8217;s analysis includes derivation of the basic reproduction number (R?), investigation of equilibrium points, and stability analysis. Mathematical analysis demonstrates the existence of both disease-free and endemic equilibrium points. The model is locally asymptotically stable when R? &lt; 1, indicating effective disease control. Key findings reveal that Pre-Exposure Prophylaxis (PrEP) emerges as the most effective single intervention, potentially reducing HIV incidence significantly among Men who have Sex with Men (MSM) in Kenya. Early diagnosis shows substantial impact, while early Anti-Retroviral Therapy (ART) demonstrates limited effectiveness when implemented alone. The combined implementation of all three interventions (PrEP, early diagnosis, and early treatment) yields optimal results in HIV prevention. The study provides quantitative evidence to support policy decisions regarding HIV prevention strategies in Kenya, particularly emphasizing the importance of PrEP programs and early diagnosis initiatives. These findings have significant implications for resource allocation and public health policy in HIV\/AIDS prevention programs.<\/p><\/div><\/div><\/div><\/div><div class=\"card indipaper-list-c1\"><div class=\"card-body\"><div class=\"row\"><div class=\"col-md-1\">\u00a0<\/div><div class=\"col-md-10\"><h5 class=\"card-subtitle mb-2\">Keywords<\/h5><p class=\"text-justify\">HIV\/AIDS prevention, Mathematical modeling, ODEs, Basic reproduction number, Stability analysis, PrEP, Kenya<\/p><\/div><\/div><\/div><\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>2024 KIBU Authors Sirengo John Luca VIEW ON PUBLISHER SITE Abstract This study develops and analyzes mathematical models to understand and evaluate prevention measures for HIV (Human Immunodeficiency Virus) and AIDS (Acquired Immunodeficiency Syndrome) in Kenya, with particular focus on high-risk populations. The research employs a deterministic compartmental model using Ordinary Differential Equations (ODEs) to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-4079","post","type-post","status-publish","format-standard","hentry","category-research-list"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Mathematical Modelling of Prevention Measures of HIV and Aids in Kenya - Faculty of Science<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/kibu.ac.ke\/fs\/mathematical-modelling-of-prevention-measures-of-hiv-and-aids-in-kenya\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mathematical Modelling of Prevention Measures of HIV and Aids in Kenya - Faculty of Science\" \/>\n<meta property=\"og:description\" content=\"2024 KIBU Authors Sirengo John Luca VIEW ON PUBLISHER SITE Abstract This study develops and analyzes mathematical models to understand and evaluate prevention measures for HIV (Human Immunodeficiency Virus) and AIDS (Acquired Immunodeficiency Syndrome) in Kenya, with particular focus on high-risk populations. 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