On a New Epidemic Model with Asymptomatic and Dead-Infective Subpopulations with Feedback Controls Useful for Ebola Disease

摘要: This paper studies the nonnegativity and local global stability properties of solutions a newly proposed SEIADR model which incorporates asymptomatic dead-infective subpopulations into standard SEIR and, in parallel, it feedback vaccination plus constant term on susceptible antiviral treatment controls symptomatic infectious subpopulation. A third control action impulsive type (or “culling”) consists periodic retirement all or fraction lying corpses can become infective certain diseases, for instance, Ebola infection. The three are allowed to be eventually time varying contain total four design gains. analysis around both disease-free endemic equilibrium points is performed by investigation eigenvalues corresponding Jacobian matrices. formally discussed using tools qualitative theory differential equations Gauss-Stokes Bendixson theorems so that neither Lyapunov equation candidates nor explicit used. It proved holds as parallel property positivity states cannot simultaneously either stable unstable. limit solution trajectories analyzed combined fashion sense become, particular, if gains converge values gain culling asymptotically zeroed.