Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates

Applied Mathematics and Computation

Volumn 218, Issue 9, 2012, Pages 5327-5336

  Enatsu, Yoichi ^a   Messina, Eleonora ^b   Muroya, Yoshiaki ^a   Nakata, Yukihiko ^c   Russo, Elvira ^b   Vecchio, Antonia ^d  

^a WASEDA UNIVERSITY   (Japan)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c BCAM BASQUE CENTER FOR APPLIED MATHEMATICS   (Spain)

^d CNR   (Italy)

Author keywords

Global asymptotic stability; Hopf bifurcation; Lyapunov functional; Nonlinear incidence rate; SIR epidemic model

Indexed keywords

ASYMPTOTICALLY STABLE; BASIC REPRODUCTION NUMBER; CRITICAL VALUE; DISEASE-FREE EQUILIBRIUM; ENDEMIC EQUILIBRIUM; GLOBAL ASYMPTOTIC STABILITY; GLOBALLY ASYMPTOTICALLY STABLE; INCIDENCE RATE; LOGISTIC GROWTH; LYAPUNOV FUNCTIONALS; MONOTONICITY CONDITIONS; NONLINEAR INCIDENCE; NONLINEAR INCIDENCE RATES; POPULATION GROWTH; SIR EPIDEMIC MODEL; SIR MODEL; STABILITY ANALYSIS; STABILITY OF EQUILIBRIUM; STABILITY RESULTS; THRESHOLD PARAMETERS; TRIVIAL EQUILIBRIUM;

ASYMPTOTIC STABILITY; HOPF BIFURCATION; LYAPUNOV FUNCTIONS; NONLINEAR ANALYSIS; POPULATION STATISTICS;

DISEASE CONTROL;

EID: 83555172509     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.11.016     Document Type: Article

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