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Hopf Bifurcation of a Two Delay Mathematical Model of Glucose and Insulin during Physical Activity

Hopf Bifurcation of a Two Delay Mathematical Model of Glucose and Insulin during Physical Activity

作     者:Jean Marie Ntaganda 

作者机构:Department of Applied Mathematics School of Pure and Applied Science College of Science and Technology University of Rwanda Huye Campus Butare Rwanda 

出 版 物:《Open Journal of Applied Sciences》 (应用科学(英文))

年 卷 期:2014年第4卷第2期

页      面:43-55页

学科分类:1002[医学-临床医学] 100201[医学-内科学(含:心血管病、血液病、呼吸系病、消化系病、内分泌与代谢病、肾病、风湿病、传染病)] 10[医学] 

主  题:Systemic Arterial Pressure Systemic Venous Pressure Cardiovascular/Respiratory System Delay Numerical Simulation Glucose Insulin 

摘      要:In this paper, we are interested in looking for Hopf bifurcation solutions for mathematical model of plasma glucose and insulin during physical activity. The mathematical model is governed by a system of delay differential equations. The algorithm for determining the critical delays that are appropriate for Hopf bifurcation is used. The illustrative example is taken for a 30 years old woman who practices regular three types of physical activity: walking, jogging and running fast.

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