An epidemic model with immigration and non-monotonic incidence rate Kumar Amit1,*, Porwal Pardeep2, Badshah V. H.3 1Research Scholar, School of Studies in Mathematics, Vikram University, Ujjain-456010, Madhya Pradesh, India. E-mail: amit0830@gmail.com 2Guest Lecturer, School of Studies in Mathematics, Vikram University, Ujjain-456010, Madhya Pradesh, India E-mail: pradeepratnawat@yahoo.com 3Professor, School of Studies in Mathematics, Vikram University, Ujjain-456010, Madhya Pradesh, India. E-mail: v.h.badshah@gmail.com *Corresponding Author: Amit Kumar, Research Scholar, School of Studies in Mathematics, Vikram University, Ujjain-456010, M. P., India. E-mail: amit0830@gmail.com
Online published on 16 January, 2018. Abstract The present mathematical model deals with the study of SIR's epidemic model with immigration and non-monotonic function type. We start from formulation of model and analyze it. It also carries out a qualitative analysis of a SIR model with immigration and non-monotone incidence rate and studies the existence and stability of the disease free and endemic equilibrium. Top Keywords Mathematical Model, Equilibrium Point, Global Stability Analysis, Saturated incidence, Psychological effect. Top |