On an SEIADR epidemic model with vaccination, treatment and dead-infectious corpses removal controls

摘要: Abstract This paper studies the non-negativity and stability properties of solutions a newly proposed SEIADR model with six subpopulations, namely, susceptible–exposed–symptomatic infectious–asymptomatic infectious–dead infectious corpses–recovered model, potential interest in characterization control Ebola pandemic. Such an epidemic incorporates asymptomatic dead-infectious subpopulations to those typical SEIR models and, parallel, three types controls including feedback information impulsive actions. In particular, vaccination on susceptible subpopulation antiviral treatment symptomatic as well corpses removal. Those may incorporate constant, linear terms additional quadratic term law. The removal is by nature. practical implementation that consists organization or brigades for lying bodies being active along short intermittent periods time. positivity existence/non-existence endemic equilibrium point are investigated local around points periodic steady-state solutions. global via Lyapunov function incremental systems about solution which supported “ad hoc” designed time-varying equation.