Mathematical Analysis of a Chlamydia Epidemic Model with Pulse Vaccination Strategy

Verfasser / Beitragende:
[G. Samanta]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Biotheoretica, 63/1(2015-03-01), 1-21
Format:
Artikel (online)
ID: 605497281
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024 7 0 |a 10.1007/s10441-014-9234-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10441-014-9234-8 
100 1 |a Samanta  |D G.  |u Institute of Mathematics, National Autonomous University of Mexico, C.P. 04510, Mexico, D.F., Mexico  |4 aut 
245 1 0 |a Mathematical Analysis of a Chlamydia Epidemic Model with Pulse Vaccination Strategy  |h [Elektronische Daten]  |c [G. Samanta] 
520 3 |a 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 $$R_{0}$$ R 0 and $$R_{1}(\le R_{0})$$ R 1 ( ≤ R 0 ) . It is proved that there exists an infection-free periodic solution which is globally attractive if $$R_{0}<1$$ R 0 < 1 and the disease is permanent if $$R_{1}>1.$$ 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. 
540 |a Springer Science+Business Media Dordrecht, 2014 
690 7 |a Chlamydia trachomatis  |2 nationallicence 
690 7 |a Pulse vaccination  |2 nationallicence 
690 7 |a Permanence  |2 nationallicence 
690 7 |a Extinction  |2 nationallicence 
690 7 |a Global stability  |2 nationallicence 
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856 4 0 |u https://doi.org/10.1007/s10441-014-9234-8  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Samanta  |D G.  |u Institute of Mathematics, National Autonomous University of Mexico, C.P. 04510, Mexico, D.F., Mexico  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Biotheoretica  |d Springer Netherlands  |g 63/1(2015-03-01), 1-21  |x 0001-5342  |q 63:1<1  |1 2015  |2 63  |o 10441