Abstract:
Mathematical modeling has enabled epidemiologist to understand best the dynamics of infectious diseases,
their impact and future predictions on their transmission and existence. Deterministic Susceptible–
Vaccinated–Exposed-Infectious-Recovered (SVEIR) model on HIV-1 Coronavirus co-infection was
formulated based on piecewise linear dynamical systems with constant delay. Delay here accounts for the
time lapse between exposure and when the symptoms of the disease appear. Basic reproduction number 𝑅𝑜 is
the threshold parameter on which the growth or reduction of the disease is based and calculated using Next
Generation Matrix approach. Disease Free Equilibrium is attained when reproduction number is less or equals
to one. The Disease Free Equilibrium is globally asymptotically stable whenever the reproductive number is
less or equal to one and unstable otherwise and it is showed using Lyapunov function. Numerical simulation
is performed using Matrix Laboratory (MatLab) dde23 solver to authenticate the analytic results. Graphical
representation is then done so as to highlight on future disease dynamics and interventions. Time-delay,
vaccination and chemotherapy plays a major role in stabilizing disease free equilibrium.
