Analysis of pulse vaccination strategy in SIRVS epidemic model

2009 ◽  
Vol 14 (6) ◽  
pp. 2747-2756 ◽  
Author(s):  
Xia Wang ◽  
Youde Tao ◽  
Xinyu Song
Keyword(s):  
Epidemic Model ◽  
Vaccination Strategy ◽  
Pulse Vaccination

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.

MIXED VACCINATION STRATEGY IN SIRS EPIDEMIC MODEL WITH SEASONAL VARIABILITY ON INFECTION

2011 ◽  
Vol 04 (04) ◽  
pp. 473-491 ◽  
Author(s):  
SHUJING GAO ◽  
HONGSHUI OUYANG ◽  
JUAN J. NIETO
Keyword(s):  
Periodic Solution ◽  
Asymptotic Stability ◽  
Epidemic Model ◽  
Vaccination Strategy ◽  
Contact Rate ◽  
Seasonal Fluctuations ◽  
Pulse Vaccination ◽  
Sirs Epidemic Model ◽  
Theoretical Results ◽  
Disease Free

In many diseases seasonal fluctuations are observed. SIRS epidemic model with seasonal varying contact rate and mixed vaccination strategy (including first vaccination and pulse vaccination strategy) is investigated. The effects of the variation of dependent on the season of the contact rate and the vaccination strategy to eradicate infectious diseases are studied and discussed. A threshold for a disease to be extinct or endemic is established. The existence and global asymptotic stability of disease-free periodic solution and the permanence of the disease are illustrated. Finally, our theoretical results are confirmed by numerical simulations.

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