Acta Biotheoretica

, Volume 63, Issue 1, pp 1–21 | Cite as

Mathematical Analysis of a Chlamydia Epidemic Model with Pulse Vaccination Strategy

  • G. P. Samanta
Regular Article


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 



The author is grateful to the anonymous referees and the Editor-in-Chief (Dr. Diedel Kornet, Ph.D.) for their careful reading, valuable comments and helpful suggestions, which have helped him to improve the presentation of this work significantly. He likes to thank TWAS, UNESCO and National Autonomous University of Mexico (UNAM) for financial support. He is grateful to Prof. Javier Bracho Carpizo, Prof. Marcelo Aguilar and Prof. Ricardo Gomez Aiza, Institute of Mathematics, National Autonomous University of Mexico for their helps and encouragements.


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Institute of MathematicsNational Autonomous University of MexicoMexicoMexico
  2. 2.Department of MathematicsIndian Institute of Engineering Science and TechnologyHowrahIndia

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