title: X-chromosome linked recessive diseases model.
abstract: We adopt the second Liapunov method to derive stability property of the equilibrium point in a non linear, discrete time, positive system, modeling the inheritance pattern of X-chromosome linked recessive diseases in the human population. By constructing a Liapunov function we derive globally asymptotically stable properties of the non trivial equilibrium point.
authors.affiliation: Dipartimento di Ingegneria, Università del Sannio, P.za Roma, 21, 82100, Benevento - Italy. c.delvecchio@unisannio.it
authors.forename: Carmen
authors.initials: C
authors.lastname: Del Vecchio
authors.forename: Dimer
authors.initials: D
authors.lastname: Bencivenni
authors.forename: Emanuele
authors.initials: E
authors.lastname: Durante Mangoni
mesh_terms: D003198:Computer Simulation; D005260:Female; D005808:Genes, Recessive / Q000235:genetics*; D040181:Genetic Diseases, X-Linked / Q000453:epidemiology* / Q000235:genetics*; D020022:Genetic Predisposition to Disease / Q000453:epidemiology* / Q000235:genetics*; D005828:Genetics, Population; D006801:Humans; D015994:Incidence; D008297:Male; D008957:Models, Genetic; D016016:Proportional Hazards Models; D018570:Risk Assessment