title: Mutation and chaos in nonlinear models of heredity.
abstract: We shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents to their offspring. We consider a Mendelian inheritance for a single gene with three alleles and assume that to form a new generation, each gene has a possibility to mutate, that is, to change into a gene of the other kind. We investigate the derived models and observe chaotic behaviors of such models.
authors.affiliation: Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710 Kuantan, Pahang, Malaysia.
authors.forename: Nasir
authors.identifier: 0000-0001-6041-7973
authors.initials: N
authors.lastname: Ganikhodjaev
authors.affiliation: Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710 Kuantan, Pahang, Malaysia.
authors.forename: Mansoor
authors.identifier: 0000-0003-2785-5204
authors.initials: M
authors.lastname: Saburov
authors.affiliation: Department of Computational & Theoretical Sciences, Faculty of Sciences, International Islamic University Malaysia, P.O. Box 141, 25710 Kuantan, Pahang, Malaysia.
authors.forename: Ashraf Mohamed
authors.initials: AM
authors.lastname: Nawi
mesh_terms: D000483:Alleles; D005260:Female; D040941:Heredity; D006801:Humans; D008297:Male; D009154:Mutation; D017711:Nonlinear Dynamics