Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates

Yoichi Enatsu; Eleonora Messina; Yukihiko Nakata; Yoshiaki Muroya; Elvira Russo; Antonia Vecchio

doi:10.1007/s12190-011-0507-y

Global dynamics of a delayed SIRS epidemic model with a wide class of nonlinear incidence rates

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-011-0507-y ◽

2011 ◽

Vol 39 (1-2) ◽

pp. 15-34 ◽

Cited By ~ 2

Author(s):

Yoichi Enatsu ◽

Eleonora Messina ◽

Yukihiko Nakata ◽

Yoshiaki Muroya ◽

Elvira Russo ◽

...

Keyword(s):

Wide Class ◽

Epidemic Model ◽

Incidence Rates ◽

Global Dynamics ◽

Nonlinear Incidence ◽

Sirs Epidemic Model ◽

Nonlinear Incidence Rates

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TRAVELING WAVES OF A NONLOCAL DIFFUSION SIRS EPIDEMIC MODEL WITH A CLASS OF NONLINEAR INCIDENCE RATES AND TIME DELAY

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20170135 ◽

2019 ◽

Vol 9 (2) ◽

pp. 452-474

Author(s):

Weifang Yan ◽

Keyword(s):

Time Delay ◽

Traveling Waves ◽

Epidemic Model ◽

Incidence Rates ◽

Nonlocal Diffusion ◽

Nonlinear Incidence ◽

Sirs Epidemic Model ◽

Nonlinear Incidence Rates

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Global stability of a delayed multi-group SIRS epidemic model with nonlinear incidence rates and relapse of infection

Discrete and Continuous Dynamical Systems - Series B ◽

10.3934/dcdsb.2015.20.3057 ◽

2015 ◽

Vol 20 (9) ◽

pp. 3057-3091 ◽

Cited By ~ 3

Author(s):

Yoichi Enatsu ◽

Toshikazu Kuniya ◽

Yoshiaki Muroya

Keyword(s):

Global Stability ◽

Epidemic Model ◽

Incidence Rates ◽

Nonlinear Incidence ◽

Sirs Epidemic Model ◽

Nonlinear Incidence Rates

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Threshold Dynamics of an $$\mathbf {SEIS}$$ Epidemic Model with Nonlinear Incidence Rates

Differential Equations and Dynamical Systems ◽

10.1007/s12591-021-00581-9 ◽

2021 ◽

Author(s):

Mouhcine Naim ◽

Fouad Lahmidi ◽

Abdelwahed Namir

Keyword(s):

Epidemic Model ◽

Incidence Rates ◽

Threshold Dynamics ◽

Nonlinear Incidence ◽

Nonlinear Incidence Rates

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Global dynamics of a pine wilt disease transmission model with nonlinear incidence rates

Applied Mathematical Modelling ◽

10.1016/j.apm.2012.09.042 ◽

2013 ◽

Vol 37 (6) ◽

pp. 4561-4569 ◽

Cited By ~ 14

Author(s):

Kwang Sung Lee ◽

Daewook Kim

Keyword(s):

Disease Transmission ◽

Pine Wilt Disease ◽

Incidence Rates ◽

Wilt Disease ◽

Transmission Model ◽

Global Dynamics ◽

Nonlinear Incidence ◽

Pine Wilt ◽

Nonlinear Incidence Rates ◽

Disease Transmission Model

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Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2011.555405 ◽

2012 ◽

Vol 18 (7) ◽

pp. 1163-1181 ◽

Cited By ~ 31

Author(s):

Yoichi Enatsu ◽

Yukihiko Nakata ◽

Yoshiaki Muroya ◽

Giuseppe Izzo ◽

Antonia Vecchio

Keyword(s):

Difference Equations ◽

Incidence Rates ◽

Epidemic Models ◽

Global Dynamics ◽

Nonlinear Incidence ◽

Sir Epidemic ◽

Nonlinear Incidence Rates ◽

Sir Epidemic Models

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Traveling waves of a diffusive SIR epidemic model with a class of nonlinear incidence rates and distributed delay

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.07.005 ◽

2015 ◽

Vol 22 (1-3) ◽

pp. 1370-1381 ◽

Cited By ~ 29

Author(s):

Zhenguo Bai ◽

Shengli Zhang

Keyword(s):

Traveling Waves ◽

Epidemic Model ◽

Distributed Delay ◽

Incidence Rates ◽

Sir Epidemic Model ◽

Nonlinear Incidence ◽

Sir Epidemic ◽

Nonlinear Incidence Rates

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

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2011.15.61 ◽

2011 ◽

Vol 15 (1) ◽

pp. 61-74 ◽

Cited By ~ 19

Author(s):

Yoichi Enatsu ◽

◽

Yukihiko Nakata ◽

Yoshiaki Muroya ◽

◽

...

Keyword(s):

Global Stability ◽

Wide Class ◽

Incidence Rates ◽

Distributed Delays ◽

Epidemic Models ◽

Nonlinear Incidence ◽

Sir Epidemic ◽

Nonlinear Incidence Rates ◽

Sir Epidemic Models

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Global stability of a time-delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.008.05.11 ◽

2015 ◽

Vol 08 (05) ◽

pp. 578-599 ◽

Cited By ~ 4

Author(s):

Jinliang Wang ◽

Yoshiaki Muroya ◽

Toshikazu Kuniya

Keyword(s):

Global Stability ◽

Epidemic Model ◽

Incidence Rates ◽

Patch Structure ◽

Nonlinear Incidence ◽

Sis Epidemic Model ◽

Nonlinear Incidence Rates ◽

Sis Epidemic

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Global analysis of a multi-group SIR epidemic model with nonlinear incidence rates and distributed moving delays between patches

10.14232/ejqtde.2016.8.16 ◽

2016 ◽

Author(s):

Yoshiaki Muroya ◽

Toshikazu Kuniya ◽

Yoichi Enatsu

Keyword(s):

Epidemic Model ◽

Global Analysis ◽

Incidence Rates ◽

Sir Epidemic Model ◽

Nonlinear Incidence ◽

Sir Epidemic ◽

Nonlinear Incidence Rates

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Global stability of an epidemic model with stage structure and nonlinear incidence rates in a heterogeneous host population

Advances in Difference Equations ◽

10.1186/s13662-015-0594-4 ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 3

Author(s):

Baodan Tian ◽

Yunguo Jin ◽

Shouming Zhong ◽

Ning Chen

Keyword(s):

Global Stability ◽

Epidemic Model ◽

Stage Structure ◽

Incidence Rates ◽

Host Population ◽

Nonlinear Incidence ◽

Nonlinear Incidence Rates

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