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An SIRS Model with Disease Induced Death and Non- Linear Incidence Rate
Pradeep Porwal1
Section:Research Paper, Product Type: Isroset-Journal
Vol.3 ,
Issue.3 , pp.1-3, Jun-2016
Online published on Jun 29, 2016
Copyright © 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: Pradeep Porwal, “An SIRS Model with Disease Induced Death and Non- Linear Incidence Rate,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.3, Issue.3, pp.1-3, 2016.
MLA Style Citation: Pradeep Porwal "An SIRS Model with Disease Induced Death and Non- Linear Incidence Rate." International Journal of Scientific Research in Mathematical and Statistical Sciences 3.3 (2016): 1-3.
APA Style Citation: Pradeep Porwal, (2016). An SIRS Model with Disease Induced Death and Non- Linear Incidence Rate. International Journal of Scientific Research in Mathematical and Statistical Sciences, 3(3), 1-3.
BibTex Style Citation:
@article{Porwal_2016,
author = {Pradeep Porwal},
title = {An SIRS Model with Disease Induced Death and Non- Linear Incidence Rate},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2016},
volume = {3},
Issue = {3},
month = {6},
year = {2016},
issn = {2347-2693},
pages = {1-3},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=266},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=266
TI - An SIRS Model with Disease Induced Death and Non- Linear Incidence Rate
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Pradeep Porwal
PY - 2016
DA - 2016/06/29
PB - IJCSE, Indore, INDIA
SP - 1-3
IS - 3
VL - 3
SN - 2347-2693
ER -
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Abstract :
In this paper, we consider an SIRS model with non linear incidence and disease induced death rate in which we consider the incidence rate KIpSq for p = 2 and q = 1. We discussed about the stability for the system of differential equations and found that the model is stable by the Routh-Hurwitz criterion.
Key-Words / Index Term :
Mathematical Modelling, SIRS Model, Non-linear incidence rate, Stability
References :
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[6] Liu, W.M., Hethcote, H.W. and Levin, S.A., Dynamical behavior of epidemiological models with nonlinear incidence rates, J. Math. Biol. 25 (1987) 359-380,
[7] Lizana, M. and Rivero, J., Multiparametric bifurcations for a model in epidemiology, J. Math. Biol. 35.
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