Lyapunov functions for a dengue disease transmission model |
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| Authors: | Jean Jules Tewa Jean Luc Dimi Samuel Bowong |
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| Institution: | 1. Department of Ecology and Evolutionary Biology, University of Kansas, USA;2. Department of Mathematics, City University of Science and Information Technology, 25000, KP, Pakistan;1. Division of Mathematics, School of Advanced Sciences, VIT University, Chennai, India;2. Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria;3. Department of Mathematics, University of Ibadan, Ibadan, Nigeria;1. Department of Electrical and Computer Engineering, University of Kashan, Iran;2. Electrical and Electronic Engineering Department, Shahed University, Tehran, Iran;3. Departament de Telecomunicació i Enginyeria de Sistemes, Escolad''Enginyeria. Universitat Autònoma de Barcelona, Barcelona, Spain;1. Facultad de Matemáticas, Universidad Autónoma de Guerrero, Chilpancingo, Av. Lázaro Cárdenas S/N, Cd. Universitaria, Chilpancingo C.P. 39087, Guerrero, México;2. Escuela Superior de Medicina, Instituto Politécnico Nacional, Plan de San Luis y Díaz Mirón s/n, Col. Casco de Santo Tomas, Del. Miguel Hidalgo, Ciudad de México 11340, Mexico |
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| Abstract: | In this paper, we study a model for the dynamics of dengue fever when only one type of virus is present. For this model, Lyapunov functions are used to show that when the basic reproduction ratio is less than or equal to one, the disease-free equilibrium is globally asymptotically stable, and when it is greater than one there is an endemic equilibrium which is also globally asymptotically stable. |
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