Dynamical analysis of EIAV infection with cytotoxic T-lymphocyte immune response delay

This paper deals with a mathematical model for Equine Infectious Anemia Virus (EIAV) infection with Cytotoxic T-lymphocyte (CTL) response delay proposed. Stability analysis of the disease-free steady-state and appropriate situations for local stability of immune-exhausted and infected steady-state is illustrated. Moreover, the existence of Hopf bifurcation is measured through concerning continuance lag such as a bifurcation parameter. Graphical replications are passed out toward elucidate our theoretical outcome. Keywords: EIAV infection, CTL, Hopf bifurcation