Global Stability of an SEIRS Model with Impulsive Vaccination and Saturating Incidence Rate
This paper introduces a impulsive vaccination SEIRS epidemic model with constant input, saturation incidence rate and exposed period, and the threshold valueσ=1 is obtained at which disease is eliminated. By using the impulsive differential equation theory, it is proved that whenσ<1, the disease-...
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| Format: | EJournal Article |
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Institute of Advanced Engineering and Science,
2014-09-01.
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| LEADER | 01768 am a22002773u 4500 | ||
|---|---|---|---|
| 001 | ijeecs3840_2314 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Yang, Yang |e author |
| 700 | 1 | 0 | |a Nannan, Cheng |e author |
| 245 | 0 | 0 | |a Global Stability of an SEIRS Model with Impulsive Vaccination and Saturating Incidence Rate |
| 260 | |b Institute of Advanced Engineering and Science, |c 2014-09-01. | ||
| 500 | |a https://ijeecs.iaescore.com/index.php/IJEECS/article/view/3840 | ||
| 520 | |a This paper introduces a impulsive vaccination SEIRS epidemic model with constant input, saturation incidence rate and exposed period, and the threshold valueσ=1 is obtained at which disease is eliminated. By using the impulsive differential equation theory, it is proved that whenσ<1, the disease-free periodic solution is globally asymptotically stable, and that whenσ>1,the system is uniformly persistent. On these grounds, it is shown that impulsive vaccination can bring obvious effects on the dynamics behaviors of the system. | ||
| 540 | |a Copyright (c) 2014 Institute of Advanced Engineering and Science | ||
| 540 | |a http://creativecommons.org/licenses/by-nc-nd/4.0 | ||
| 546 | |a eng | ||
| 690 | |a SEIRS model; Impulsive vaccination; Treatment rate; Reproduction number; Global stability | ||
| 655 | 7 | |a info:eu-repo/semantics/article |2 local | |
| 655 | 7 | |a info:eu-repo/semantics/publishedVersion |2 local | |
| 655 | 7 | |2 local | |
| 786 | 0 | |n Indonesian Journal of Electrical Engineering and Computer Science; Vol 12, No 9: September 2014; 6999-7006 | |
| 786 | 0 | |n 2502-4760 | |
| 786 | 0 | |n 2502-4752 | |
| 786 | 0 | |n 10.11591/ijeecs.v12.i9 | |
| 787 | 0 | |n https://ijeecs.iaescore.com/index.php/IJEECS/article/view/3840/2314 | |
| 856 | 4 | 1 | |u https://ijeecs.iaescore.com/index.php/IJEECS/article/view/3840/2314 |z Get fulltext |