A dimensional reduction of an (n+1) compartmental model

Abstract

Abstract An (n+1) dimensional compartmental model is studied. It is an n dimensional model sits in (n+1) dimensional space, consists of (n+1) variables and (n+1) equations. The model is a generalization of well-known SIR model. Reduced dimensional model is introduced. The reduced model consists of n variables and n equations. The equilibrium points of the original model and reduced model are discussed. The stability of the equilibrium points are analyzed and compared. Numerical simulation is applied for n = 5. The numerical result which is the evolution of the variables is presented.