title: Discrete three-stage population model: persistence and global stability results.
abstract: A general three-stage discrete-time population model is studied. The inherent net reproductive number for this model is derived. Global stability of the origin is established provided that the inherent net reproductive number is less than one. If it is larger than one the existence of a unique positive fixed point is proved and the persistence of the system is established. Finally, for certain parameter ranges global stability of the positive fixed point is proved.
authors.affiliation: Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, USA. ackleh@louisiana.edu
authors.forename: Azmy S
authors.initials: AS
authors.lastname: Ackleh
authors.forename: Patrick
authors.initials: P
authors.lastname: De Leenheer
mesh_terms: D006801:Humans; D008954:Models, Biological; D011157:Population Dynamics