Further stability analysis for a multi-group SIRS epidemic model with varying total population size

Applied Mathematics Letters

Volumn 38, Issue , 2014, Pages 73-78

  Muroya, Yoshiaki ^a   Kuniya, Toshikazu ^b  

^a WASEDA UNIVERSITY   (Japan)

^b KOBE UNIVERSITY   (Japan)

Author keywords

Global stability; Monotone iteration; Multi group SIRS epidemic model; Varying total population size

Indexed keywords

LYAPUNOV FUNCTIONS; POPULATION STATISTICS;

ENDEMIC EQUILIBRIUM; GLOBAL ASYMPTOTIC STABILITY; GLOBAL STABILITY; LYAPUNOV FUNCTIONALS; MONOTONE ITERATIONS; POPULATION SIZES; SIRS EPIDEMIC MODEL; STABILITY ANALYSIS; MULTI-GROUP;

EPIDEMIOLOGY;

EID: 84907056918     PISSN: 08939659     EISSN: 18735452     Source Type: Journal    
DOI: 10.1016/j.aml.2014.07.005     Document Type: Article

References (15)

1. H. Guo, M.Y. Li, and Z. Shuai Global stability of the endemic equilibrium of multigroup SIR epidemic models Can. Appl. Math. Q. 14 2006 259 284
2. M.Y. Li, Z. Shuai, and C. Wang Global stability of multi-group epidemic models with distributed delays J. Math. Anal. Appl. 361 2010 38 47
3. Y. Muroya, Y. Enatsu, and T. Kuniya Global stability for a class of multi-group SIR epidemic models with patches through migration and cross patch infection Acta Math. Sci. 33 2013 341 361
4. Y. Muroya, Y. Enatsu, and T. Kuniya Global stability for a multi-group SIRS epidemic model with varying population sizes Nonlinear Anal. RWA 14 2013 1693 1704
5. H. Shu, D. Fan, and J. Wei Global stability of multi-group SEIR epidemic models with distributed delays and nonlinear transmission Nonlinear Anal. RWA 13 2012 1581 1592
6. Z. Yuan, and L. Wang Global stability epidemiological models with group mixing and nonlinear incidence rates Nonlinear Analysis RWA 11 2010 995 1004
7. C.C. McCluskey Complete global stability for an SIR epidemic model with delay-Distributed or discrete Nonlinear Analysis RWA 11 2010 55 59
8. Y. Nakata, Y. Enatsu, and Y. Muroya On the global stability of an SIRS epidemic model with distributed delays Discrete Contin. Dyn. Syst. Suppl. 2011 1119 1128
9. Y. Enatsu, Y. Nakata, and Y. Muroya Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model Nonlinear Anal. RWA 13 2012 2120 2133
10. R. Xu, and Z. Ma Stability of a delayed SIRS epidemic model with a nonlinear incidence rate Chaos Solitons Fractals 41 2009 2319 2325
11. Hai-Feng Huo, and Zhan-Ping Ma Dynamics of a delayed epidemic model with non-monotonic incidence rate Commun. Nonlinear Sci. Numer. Simul. 15 2010 459 468
12. Y. Muroya, Y. Enatsu, and Y. Nakata Monotone iterative techniques to SIRS epidemic models with nonlinear incidence rates and distributed delays Nonlinear Analysis RWA 12 2011 1897 1910
13. H.L. Smith, and P. Waltman The Theory of the Chemostat: Dynamics of Microbial Competition 1995 Cambridge University Press Cambridge
14. N.P. Bhatia, and G.P. Szegö Dynamical Systems: Stability Theory and Applications Lecture Notes in Mathematics vol. 35 1967 Springer Berlin
15. P. van den Driessche, and J. Watmough Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission Math. Biosci. 180 2002 29 48 (Pubitemid 35304346)