title: Equilibrium points for nonlinear compartmental models.
abstract: Equilibrium points for nonlinear autonomous compartmental models with constant input are discussed. Upper and lower bounds for the steady states are derived. Theorems guaranteeing existence and uniqueness of equilibrium points for a large collection of system are proved. New information relating to mean residence times is developed. Asymptotic results and a section on stability are included. A recursive process is discussed that generates iterates that converge to steady states for certain types of models. An interesting range of models are included as examples. An attempt is made to provide general qualitative theory for such nonlinear compartmental systems.
authors.affiliation: Department of Mathematics, Southern Methodist University, Dallas, Texas 75275.
authors.forename: D H
authors.initials: DH
authors.lastname: Anderson
authors.forename: T
authors.initials: T
authors.lastname: Roller
mesh_terms: D000163:Acquired Immunodeficiency Syndrome / Q000453:epidemiology; D004798:Enzymes / Q000378:metabolism; D004813:Epidemiology; D006801:Humans; D007700:Kinetics; D008433:Mathematics; D008954:Models, Biological; D015233:Models, Statistical; D008962:Models, Theoretical
chemical_list: D004798:Enzymes