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Abstract This paper addresses the global convergence of the epidemic models whose infected subsystems are monotone in the sense of Hirsch (1984). By invoking results from monotone system theory and… Click to show full abstract
Abstract This paper addresses the global convergence of the epidemic models whose infected subsystems are monotone in the sense of Hirsch (1984). By invoking results from monotone system theory and nonlinear control theory, a simple method is proposed for determining the global asymptotic stability of a disease free equilibrium (DFE) and the global convergence to an endemic equilibrium (EE). Typical epidemic models are studied to illustrate the applicability of the proposed methodology.
Keywords:
analysis class;
class epidemic;
convergence analysis;
epidemic models;
global convergence
Journal Title: Applied Mathematical Modelling
Year Published: 2017
Link to full text (if available)
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Journal Title: Applied Mathematical Modelling
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!