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Published on: July 4, 2007
Mathematical analysis of a Chlamydia epidemic model with pulse vaccination strategy
1Institute of Mathematics, National Autonomous University of Mexico, Mexico, D.F., C.P. 04510, Mexico, gpsamanta@math.becs.ac.in.
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. We have defined two positive numbers R₀ and (R₁≤ R₀). It is proved that there exists an infection-free periodic solution which is globally attractive if R₀ < 1 and the disease is permanent if R₁> 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.
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