{"id":5290,"date":"2025-06-30T08:42:44","date_gmt":"2025-06-30T08:42:44","guid":{"rendered":"https:\/\/fs.kibu.ac.ke\/?p=5290"},"modified":"2025-12-26T22:46:27","modified_gmt":"2025-12-26T22:46:27","slug":"analysis-of-glucose-insulin-epinephrine-dynamics-using-multidimensional-ostrowski-type-inequality","status":"publish","type":"post","link":"https:\/\/kibu.ac.ke\/fs\/analysis-of-glucose-insulin-epinephrine-dynamics-using-multidimensional-ostrowski-type-inequality\/","title":{"rendered":"Analysis of Glucose, Insulin, Epinephrine Dynamics Using Multidimensional Ostrowski-Type Inequality"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"5290\" class=\"elementor elementor-5290\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6397789f elementor-section-full_width elementor-section-height-min-height elementor-section-items-stretch elementor-section-height-default\" data-id=\"6397789f\" 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-61d1c234\" data-id=\"61d1c234\" 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-19471a6f elementor-widget elementor-widget-theme-post-title elementor-page-title elementor-widget-heading\" data-id=\"19471a6f\" 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\">Analysis of Glucose, Insulin, Epinephrine Dynamics Using Multidimensional Ostrowski-Type Inequality<\/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-3921de75 elementor-section-height-min-height elementor-section-boxed elementor-section-height-default elementor-section-items-middle\" data-id=\"3921de75\" 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-23321ae5\" data-id=\"23321ae5\" 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-5aa250c2 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5aa250c2\" 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-13279e0 elementor-invisible\" data-id=\"13279e0\" 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-4a6bf1ee elementor-widget__width-auto elementor-widget elementor-widget-heading\" data-id=\"4a6bf1ee\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">2025<\/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-23fc76bc elementor-invisible\" data-id=\"23fc76bc\" 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-2e5fcdba elementor-widget elementor-widget-heading\" data-id=\"2e5fcdba\" 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-569e8afa elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"569e8afa\" 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>Boniface O. Kwach<\/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-749ebebc elementor-invisible\" data-id=\"749ebebc\" 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-33747732 elementor-tablet-align-left elementor-invisible elementor-widget elementor-widget-button\" data-id=\"33747732\" 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\/1709392\">\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-1761c524 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1761c524\" 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-49b7aa67 elementor-invisible\" data-id=\"49b7aa67\" 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-27a3382d elementor-widget elementor-widget-heading\" data-id=\"27a3382d\" 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-55fc76a0 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"55fc76a0\" 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>This paper presents a comprehensive stability analysis of a three-dimensional dynamical system that models glucose\u2013insulin interactions with epinephrine as a third regulatory variable. The system captures the dynamics of glucose concentration (g), insulin concentration (h), and epinephrine levels (e), incorporating the influence of external perturbations represented by J(t), P(t), and Z(t). By applying multidimensional Ostrowski-type inequalities, we establish global stability criteria, derive sharp bounds on system trajectories, and provide a theoretical basis for clinical decision-making in diabetes management. The proposed framework allows for precise quantification of deviation bounds and convergence rates.<\/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\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>2025 KIBU Authors Boniface O. Kwach VIEW ON PUBLISHER SITE Abstract This paper presents a comprehensive stability analysis of a three-dimensional dynamical system that models glucose\u2013insulin interactions with epinephrine as a third regulatory variable. The system captures the dynamics of glucose concentration (g), insulin concentration (h), and epinephrine levels (e), incorporating the influence of external [&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-5290","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>Analysis of Glucose, Insulin, Epinephrine Dynamics Using Multidimensional Ostrowski-Type Inequality - 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\/analysis-of-glucose-insulin-epinephrine-dynamics-using-multidimensional-ostrowski-type-inequality\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Analysis of Glucose, Insulin, Epinephrine Dynamics Using Multidimensional Ostrowski-Type Inequality - Faculty of Science\" \/>\n<meta property=\"og:description\" content=\"2025 KIBU Authors Boniface O. Kwach VIEW ON PUBLISHER SITE Abstract This paper presents a comprehensive stability analysis of a three-dimensional dynamical system that models glucose\u2013insulin interactions with epinephrine as a third regulatory variable. 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Kwach VIEW ON PUBLISHER SITE Abstract This paper presents a comprehensive stability analysis of a three-dimensional dynamical system that models glucose\u2013insulin interactions with epinephrine as a third regulatory variable. 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