scholarly journals Pulse Vaccination Strategy in an Epidemic Model with Two Susceptible Subclasses and Time Delay

2011 ◽  
Vol 02 (01) ◽  
pp. 57-63 ◽  
Author(s):  
Youquan Luo ◽  
Shujing Gao ◽  
Shuixian Yan
Keyword(s):  
Time Delay ◽  
Epidemic Model ◽  
Vaccination Strategy ◽  
Pulse Vaccination

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.

scholarly journals Analysis of a Chlamydia epidemic model with pulse vaccination strategy in a random environment

2018 ◽  
Vol 23 (4) ◽  
pp. 457-474 ◽  
Author(s):  
Guruprasad Samantaa ◽  
Shyam Pada Bera
Keyword(s):  
Random Environment ◽  
Epidemic Model ◽  
Vaccination Strategy ◽  
Point Of View ◽  
Susceptible Population ◽  
Pulse Vaccination ◽  
Exponentially Stable ◽  
Periodic Disease ◽  
The Mean ◽  
Varying Total Population Size

In this paper, we have considered a dynamical model of Chlamydia disease with varying total population size, bilinear incidence rate, and pulse vaccination strategy in a random environment. It has been shown that the Chlamydia epidemic model has global positive solutions and, under some conditions, it admits a unique positive periodic disease-free solution, which is globally exponentially stable in mean square. We have defined two positive numbers R1 and R2 (< R1). It is proved that the susceptible population will be persistent in the mean and the disease will be going to extinct if R1 < 1 and the susceptible population as well as the disease will be weakly persistent in the mean if R2 > 1. Our analytical findings are explained through numerical simulation, which show the reliability of our model from the epidemiological point of view.

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