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Epidemic Model with Vital Dynamics and a Saturated Incidence rate
S.K. Tiwari1 , V.K. Gupta2 , Lakhan Nagar3 , Pradeep Porwal4
Section:Review Paper, Product Type: Isroset-Journal
Vol.5 ,
Issue.4 , pp.299-305, Aug-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v5i4.299305
Online published on Aug 31, 2018
Copyright © S.K. Tiwari, V.K. Gupta, Lakhan Nagar, Pradeep Porwal . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: S.K. Tiwari, V.K. Gupta, Lakhan Nagar, Pradeep Porwal, “Epidemic Model with Vital Dynamics and a Saturated Incidence rate,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.299-305, 2018.
MLA Style Citation: S.K. Tiwari, V.K. Gupta, Lakhan Nagar, Pradeep Porwal "Epidemic Model with Vital Dynamics and a Saturated Incidence rate." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 299-305.
APA Style Citation: S.K. Tiwari, V.K. Gupta, Lakhan Nagar, Pradeep Porwal, (2018). Epidemic Model with Vital Dynamics and a Saturated Incidence rate. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 299-305.
BibTex Style Citation:
@article{Tiwari_2018,
author = {S.K. Tiwari, V.K. Gupta, Lakhan Nagar, Pradeep Porwal},
title = {Epidemic Model with Vital Dynamics and a Saturated Incidence rate},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2018},
volume = {5},
Issue = {4},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {299-305},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=741},
doi = {https://doi.org/10.26438/ijcse/v5i4.299305}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.299305}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=741
TI - Epidemic Model with Vital Dynamics and a Saturated Incidence rate
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S.K. Tiwari, V.K. Gupta, Lakhan Nagar, Pradeep Porwal
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 299-305
IS - 4
VL - 5
SN - 2347-2693
ER -
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Abstract :
In this paper, we proposes a new SEIRS model with vital dynamics and a saturated incidence rate. We find equilibrium point, basic reproduction number and stability of the system.
Key-Words / Index Term :
Epidemic Model, Saturated Incidence rate, Basic Reproduction number, Stability.
References :
[1] P. Van den Driessche , J. Watmough ,” Reproduction numbers and subthreshold endemic equilibria for compartmental models of disease transmission”, Mathematical biosciences, 180, 29-48,2002,
[2] J. Zhan , J. Li ,Z. Ma, “Global dynamics of an SEIR epidemic model with immigration of different compartment”, Acta Mathematica Scientia, 26, 551-567,2006.
[3] N.Yi , Q. Zhang ,K. Mao,D. Yang ,Q. Li , “analysis and control of an SEIR epidemic system with nonlinear transmission rate” Mathematical and computer modeling, 50, 1498-1513, 2009.
[4] C.Sun , Y. Hsieh ,”Global analysis of an SEIR model with varying population size and vaccination”, Applied Mathematical Modeling, 2685-2697, .2010
[5] X. Zhou , J. Cui , “Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate” Communications in nonlinear Science and Numerical Simulatio,16.4438-4450, 2011.
[6] H. Shu , D. Fan ,J. Wei, “Global stability of multi group SEIR epidemic models with distributed delays and Non linear transmission”, Non linear analysis: RealWord Applications, 13,1581-1592,2012.
[7] Wang Xinli, “An SIRS epidemic model with Vital Dynamics and a Ratio Dependent Saturation incidence rate”, Discrete Dynamics in nature and society,1-9, 2015.
[8] B. Trawicki , “Deterministic SEIRS epidemic model for modeling Vital Dynamics”, Vaccinations, and Temporary immunity.Mathematics,1-19, 2017.
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