Global behaviour of an SIR epidemic model with time delay

2007 ◽  
Vol 30 (6) ◽  
pp. 733-749 ◽  
Author(s):  
Jean M. Tchuenche ◽  
Alexander Nwagwo ◽  
Richard Levins
Keyword(s):  
Time Delay ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Global Behaviour ◽  
Sir Epidemic

Erratum: ‘Global behaviour of an SIR epidemic model with time delay’

2010 ◽  
Vol 34 (6) ◽  
pp. 743-744 ◽  
Author(s):  
Jean M. Tchuenche ◽  
Alexander Nwagwo ◽  
Richard Levins
Keyword(s):  
Time Delay ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Global Behaviour ◽  
Sir Epidemic

scholarly journals Analysis of an SIR Epidemic Model with Pulse Vaccination and Distributed Time Delay

2007 ◽  
Vol 2007 ◽  
pp. 1-10 ◽  
Author(s):  
Shujing Gao ◽  
Zhidong Teng ◽  
Juan J. Nieto ◽  
Angela Torres
Keyword(s):  
Periodic Solution ◽  
Time Delay ◽  
Epidemic Model ◽  
Discrete Dynamical System ◽  
Vaccination Rate ◽  
Sir Epidemic Model ◽  
Pulse Vaccination ◽  
Sir Epidemic ◽  
Distributed Time Delay ◽  
Large Pulse

Pulse vaccination, the repeated application of vaccine over a defined age range, is gaining prominence as an effective strategy for the elimination of infectious diseases. An SIR epidemic model with pulse vaccination and distributed time delay is proposed in this paper. Using the discrete dynamical system determined by the stroboscopic map, we obtain the exact infection-free periodic solution of the impulsive epidemic system and prove that the infection-free periodic solution is globally attractive if the vaccination rate is larger enough. Moreover, we show that the disease is uniformly persistent if the vaccination rate is less than some critical value. The permanence of the model is investigated analytically. Our results indicate that a large pulse vaccination rate is sufficient for the eradication of the disease.

Local stability of an SIR epidemic model and effect of time delay

2009 ◽  
Vol 32 (16) ◽  
pp. 2160-2175 ◽  
Author(s):  
Jean M. Tchuenche ◽  
Alexander Nwagwo
Keyword(s):  
Time Delay ◽  
Epidemic Model ◽  
Local Stability ◽  
Sir Epidemic Model ◽  
Sir Epidemic

scholarly journals Dynamics of an ultra-discrete SIR epidemic model with time delay

2018 ◽  
Vol 15 (3) ◽  
pp. 653-666 ◽  
Author(s):  
Masaki Sekiguchi ◽  
◽  
Emiko Ishiwata ◽  
Yukihiko Nakata ◽  
◽  
...  
Keyword(s):  
Time Delay ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Sir Epidemic

scholarly journals Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate

2021 ◽  
pp. 105025
Author(s):  
Haojie Yang ◽  
Yougang Wang ◽  
Soumen Kundu ◽  
Zhiqiang Song ◽  
Zizhen Zhang
Keyword(s):  
Time Delay ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Sir Epidemic Model ◽  
Sir Epidemic
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