Analysis of a Chlamydia epidemic model with pulse vaccination strategy in a random environment
Articles
Guruprasad Samantaa
National Autonomous University of Mexico; Indian Institute of Engineering Science and Technology
Shyam Pada Pada Bera
U.J. Sri Siksha Niketan, India
Published 2018-08-10
https://doi.org/10.15388/NA.2018.4.1
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Keywords

Chlamydia trachomatis
pulse vaccination
white noise
persistent
extinction

How to Cite

Samantaa, G. and Bera, S.P.P. (2018) “Analysis of a Chlamydia epidemic model with pulse vaccination strategy in a random environment”, Nonlinear Analysis: Modelling and Control, 23(4), pp. 457–474. doi:10.15388/NA.2018.4.1.

Abstract

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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