title: Selection and mutation in X-linked recessive diseases epidemiological model.
abstract: To describe the epidemiology of X-linked recessive diseases we developed a discrete time, structured, non linear mathematical model. The model allows for de novo mutations (i.e. affected sibling born to unaffected parents) and selection (i.e., distinct fitness rates depending on individual's health conditions). Applying Lyapunov direct method we found the domain of attraction of model's equilibrium point and studied the convergence properties of the degenerate equilibrium where only affected individuals survive.
authors.forename: Francesca
authors.initials: F
authors.lastname: Verrilli
authors.forename: Hamed
authors.initials: H
authors.lastname: Kebriaei
authors.forename: Luigi
authors.initials: L
authors.lastname: Glielmo
authors.forename: Martin
authors.initials: M
authors.lastname: Corless
authors.forename: Carmen
authors.initials: C
authors.lastname: Del Vecchio
mesh_terms: D000483:Alleles; D041321:Chromosomes, Human, X; D005260:Female; D040181:Genetic Diseases, X-Linked / Q000453:epidemiology*; D006801:Humans; D008297:Male; D008957:Models, Genetic; D008962:Models, Theoretical; D011110:Polymorphism, Genetic