TY - JOUR
T1 - Global stability of extended multi-group sir epidemic models with patches through migration and cross patch infection
AU - Muroya, Yoshiaki
AU - Enatsu, Yoichi
AU - Kuniya, Toshikazu
N1 - Funding Information:
∗Received August 26, 2010; revised June 4, 2012. The authors’ work was supported by Japan Society for the Promotion of Science (Grant Scientific Research (c), No. 24540219 to the first author, JSPS Fellows, No. 237213 to the second author, and No. 222176 to the third author).
PY - 2013/3
Y1 - 2013/3
N2 - In this article, we establish the global stability of an endemic equilibrium of multi-group SIR epidemic models, which have not only an exchange of individuals between patches through migration but also cross patch infection between different groups. As a result, we partially generalize the recent result in the article [16].
AB - In this article, we establish the global stability of an endemic equilibrium of multi-group SIR epidemic models, which have not only an exchange of individuals between patches through migration but also cross patch infection between different groups. As a result, we partially generalize the recent result in the article [16].
KW - Global asymptotic stability
KW - Lyapunov function
KW - Multi-group SIR epidemic model
KW - Patch
UR - https://www.scopus.com/pages/publications/84875114855
U2 - 10.1016/S0252-9602(13)60003-X
DO - 10.1016/S0252-9602(13)60003-X
M3 - Article
AN - SCOPUS:84875114855
SN - 0252-9602
VL - 33
SP - 341
EP - 361
JO - Acta Mathematica Scientia
JF - Acta Mathematica Scientia
IS - 2
ER -