Title :
Global Stability for an SIR Infectious Diseases Model with Dispersal
Author :
Liu, Luju ; Cai, Weiyun ; Wang, Shifei
Author_Institution :
Sch. of Math. & Stat., Henan Univ. of Sci. & Technol., Luoyang, China
Abstract :
An SIR infectious diseases model with dispersal between two disjoint patches is addressed and discussed. The basic reproduction number R0 is defined as the threshold parameter. If R0 is below unity, the disease-free equilibrium is shown to be globally asymptotically stable. If R0 is above unity and the minor condition holds, the disease persists in the population, and the unique endemic equilibrium is globally asymptotically stable.
Keywords :
asymptotic stability; diseases; SIR infectious diseases model; disease-free equilibrium; disjoint patches; globally asymptotically stable; Asymptotic stability; Biological system modeling; Diseases; Educational institutions; Equations; Mathematical model; Stability analysis; Lyapunov function; dispersal; globally asymptotically stable; the basic reproduction number; the endemic equilibrium;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2012 Fifth International Joint Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4673-1365-0
DOI :
10.1109/CSO.2012.81
