@article{daaa00ee931a45d38c1e05eed3981ca6,
title = "Global stability for a multi-group SIRS epidemic model with varying population sizes",
abstract = "In this paper, by extending well-known Lyapunov function techniques to SIRS epidemic models, we establish sufficient conditions for the global stability of an endemic equilibrium of a multi-group SIRS epidemic model with varying population sizes which has cross patch infection between different groups. Our proof no longer needs such a grouping technique by graph theory commonly used to analyze the multi-group SIR models.",
keywords = "Global stability, Lyapunov function, Multi-group SIRS epidemic model, Varying population size",
author = "Yoshiaki Muroya and Yoichi Enatsu and Toshikazu Kuniya",
note = "Funding Information: The first author{\textquoteright}s research was supported by Scientific Research (c), No. 24540219 of Japan Society for the Promotion of Science. The second author{\textquoteright}s research was supported by JSPS Fellows , No. 237213 of Japan Society for the Promotion of Science. The third author{\textquoteright}s research was supported by JSPS Fellows , No. 222176 of Japan Society for the Promotion of Science. ",
year = "2013",
month = jun,
doi = "10.1016/j.nonrwa.2012.11.005",
language = "English",
volume = "14",
pages = "1693--1704",
journal = "Nonlinear Analysis: Real World Applications",
issn = "1468-1218",
publisher = "Elsevier B.V.",
number = "3",
}