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Title: Delay SIR model with nonlinear incident rate and varying total population
Authors: Rujira Ouncharoen
Salinthip Daengkongkho
Thongchai Dumrongpokaphan
Yongwimon Lenbury
Chiang Mai University
South Carolina Commission on Higher Education
Mahidol University
Keywords: Computer Science;Mathematics
Issue Date: 4-Nov-2013
Citation: International Journal of Mathematics and Computers in Simulation. Vol.7, No.4 (2013), 369-378
Abstract: Recently, models describing the behavior of SIR epidemic with nonlinear incident rate have been revisited. We study the behavior of the model with time delay in which the total population size varies. Lyapunov functions are constructed to establish the global asymptotic stability of all steady states of the model. Numerical simulations are shown to confirm the main results.
ISSN: 19980159
Appears in Collections:Scopus 2011-2015

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