Yoshiaki Muroya
(Waseda University, Tokió, Japán)
Global stability of SIRS epidemic models and related models
Absztrakt:
There is an open question on global dynamics of an SIRS (Susceptible-Infected-Recovery-Susceptible) epidemic model. We partially solve this by applying Lyapunov functional techniques for a delayed SIRS epidemic model and monotone iterative techniques for a multi-group epidemic SIRS model. We also talk about some related our recent works.
Joint work Toshikazu Kuniya (Kobe University) and Yoichi Enatsu (Tokyo University),
References:
[1] Y. Enatsu, Y. Nakata and Y. Muroya, Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model, Nonlinear Analysis RWA 13 (2012) 2120-2133.
[2] Y. Muroya, Y. Enatsu and T. Kuniya, Global stability for a multi-group SIRS epidemic model with varying population sizes, Nonlinear Analysis RWA 14 (2013) 1693-1704.
[3] 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.
[4] Y. Muroya and T. Kuniya, Further stability analysis of a multi-group SIRS epidemic model with varying total population sizes, Appl. Math. Letters 38 (2014) 73-78.
References:
[1] Y. Enatsu, Y. Nakata and Y. Muroya, Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model, Nonlinear Analysis RWA 13 (2012) 2120-2133.
[2] Y. Muroya, Y. Enatsu and T. Kuniya, Global stability for a multi-group SIRS epidemic model with varying population sizes, Nonlinear Analysis RWA 14 (2013) 1693-1704.
[3] 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.
[4] Y. Muroya and T. Kuniya, Further stability analysis of a multi-group SIRS epidemic model with varying total population sizes, Appl. Math. Letters 38 (2014) 73-78.
