ANALYSIS OF AN SEIR EPIDEMIC MODEL WITH A SATURATED INCIDENCE RATE
SHIVRAM SHARMA *
School of Studies in Mathematics, Vikram University, Ujjain (M.P.), India
V. H. BADSHAH
School of Studies in Mathematics, Vikram University, Ujjain (M.P.), India
VANDANA GUPTA
Government Kalidas Girls' P.G. College, Ujjain (M.P.), India
*Author to whom correspondence should be addressed.
Abstract
In this paper, we consider an SEIR epidemic model with a saturated incidence rate. Existence and stability of equilibriums of the model are investigated. An example is also given in support of the main result.
Keywords: SEIR epidemic model, saturated incidence rate, basic reproductive number, Routh-Herwitz criterion, second additive compound matrix, Lyapunov function, stability