Regular Article

Acta Biotheoretica

, Volume 63, Issue 1, pp 1-21

First online:

Mathematical Analysis of a Chlamydia Epidemic Model with Pulse Vaccination Strategy

  • G. P. SamantaAffiliated withInstitute of Mathematics, National Autonomous University of MexicoDepartment of Mathematics, Indian Institute of Engineering Science and Technology Email author 

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In this paper, we have considered a dynamical model of Chlamydia disease with varying total population size, bilinear incidence rate and pulse vaccination strategy. We have defined two positive numbers \(R_{0}\) and \(R_{1}(\le R_{0})\). It is proved that there exists an infection-free periodic solution which is globally attractive if \(R_{0}<1\) and the disease is permanent if \(R_{1}>1.\) The important mathematical findings for the dynamical behaviour of the Chlamydia disease model are also numerically verified using MATLAB. Finally epidemiological implications of our analytical findings are addressed critically.


Chlamydia trachomatis Pulse vaccination Permanence Extinction Global stability