Local Stability Analysis of Delayed Seir Model

Abstract

In this work, we consider a system of Delay differential equations for SEIR models with logistic and bilinear incidence. This model shows a bifurcation point where a stable disease-free equilibrium (DFE) coexists with a stable endemic equilibrium, according to studies (EE). When the reproduction number determines the local equilibrium stability requirements and the presence of Hopf bifurcations. To obtain stable behavior, we also performed a branch analysis with expected lag times. Numerical simulations were used to demonstrate the relevance and validity of the theoretical results.