Mathematical Analysis of a Chlamydia Epidemic Model with Pulse Vaccination Strategy
Gespeichert in:
Verfasser / Beitragende:
[G. Samanta]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Biotheoretica, 63/1(2015-03-01), 1-21
Format:
Artikel (online)
Online Zugang:
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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 | |
| 773 | 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 | |
| 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 856 |E 40 |u https://doi.org/10.1007/s10441-014-9234-8 |q text/html |z Onlinezugriff via DOI | ||
| 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 | ||