eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences March 2018 30 3 218 226 http://dx.doi.org/10.22147/jusps-A/300307 1462 article ALAKES MAIT 1 PROSENJIT SEN 2 G.P. SAMANTA 3 Department of Mathematics , Vidyasagar Evening College, Kolkata u2013 700006, (India) Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah u2013 711103, (India) Department of Mathematics , Indian Institute of Engineering Science and Technology, Shibpur, Howrah u2013 711103, (India) <p style="text-align: justify;">This paper aims to study the dynamical behaviours of an SIQR epidemiological model. Positivity and boundedness of the system are discussed. Stability analysis of the equilibrium points is presented. Numerical simulations are carried out to validate our analytical findings. Implications of our analytical and numerical &ucirc;ndings are discussed critically.</p> https://www.ultrascientist.org/paper/1462/ Epidemiology model Quarantine; Boundedness Stability 34D05, 34C25, 92D30