A SIQR model with a nonlinear incidence

AUTHOR AND
AFFILIATION

ALAKES MAITI
Department of Mathematics Vidyasagar Evening College Kolkata u2013 700006 (India)
PROSENJIT SEN
Department of Mathematics Indian Institute of Engineering Science and Technology, Shibpur Howrah – 711 103, (India)
G. P. SAMANTA (gpsamanta@math.iiests.ac.in)
Department of Mathematics Indian Institute of Engineering Science and Technology, Shibpur Howrah – 711 103, (India)

KEYWORDS:

Epidemiology model, Quarantine, Boundedness, Stability

Issue Date:

February 2018

Pages:

143-152

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.30 – No.2

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DOI:

http://dx.doi.org/10.22147/jusps-A/300205

ABSTRACT:

In this paper we have studied the dynamical behaviours of an SIQR epidemiological model which takes into account the psychological effect introduced by a nonlinear and non-monotone incidence. Positivity and boundedness of the system have been studied. Stability analysis of the equilibrium points is presented. We have carried out numerical simulations to validate the analytical findings. The biological implications of our analytical and numerical findings are discussed.

Copy the following to cite this Article:

A. Maiti; P. Sen; G. P. Samanta, “A SIQR model with a nonlinear incidence”, Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 2, Page Number 143-152, 2018


Copy the following to cite this URL:

A. Maiti; P. Sen; G. P. Samanta, “A SIQR model with a nonlinear incidence”, Journal of Ultra Scientist of Physical Sciences, Volume 30, Issue 2, Page Number 143-152, 2018

Available from: http://www.ultrascientist.org/paper/1146/a-siqr-model-with-a-nonlinear-incidence


In this paper we have studied the dynamical behaviours of an SIQR epidemiological model which takes into account the psychological effect introduced by a nonlinear and non-monotone incidence. Positivity and boundedness of the system have been studied. Stability analysis of the equilibrium points is presented. We have carried out numerical simulations to validate the analytical findings. The biological implications of our analytical and numerical findings are discussed.