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Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays 

Enatsu Y.; Nakata Y.; Muroya Y. (Discrete and Continuous Dynamical Systems - Series B, 2011-12-31)
In this paper, we establish the global asymptotic stability of equi-libria for an SIR model of infectious diseases with distributed time delays gov-erned by a wide class of nonlinear incidence rates. We obtain the global ...
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Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate 

Muroya Y.; Enatsu Y.; Nakata Y. (Journal of Mathematical Analysis and Applications, 2011-12-31)
In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0>1, applying monotone iterative ...

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AuthorEnatsu Y. (2)Muroya Y. (2)Nakata Y. (2)SubjectGlobal asymptotic stability (2)
Nonlinear incidence rate (2)
Permanence (2)
Distributed delays (1)Lyapunov functional (1)Lyapunov functional technique (1)Monotone iterative technique (1)SIR epidemic models (1)SIRS epidemic model (1)... View MoreDate Issued2011 (2)

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