title: Existence of limit cycles in the Solow model with delayed-logistic population growth.
abstract: This paper is devoted to the existence and stability analysis of limit cycles in a delayed mathematical model for the economy growth. Specifically the Solow model is further improved by inserting the time delay into the logistic population growth rate. Moreover, by choosing the time delay as a bifurcation parameter, we prove that the system loses its stability and a Hopf bifurcation occurs when time delay passes through critical values. Finally, numerical simulations are carried out for supporting the analytical results.
authors.affiliation: Dipartimento di Scienze Matematiche, Politecnico, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.
authors.forename: Carlo
authors.identifier: 0000-0003-1122-7510
authors.initials: C
authors.lastname: Bianca
authors.affiliation: Department of Management, Polytechnic University of Marche, 60121 Ancona, Italy.
authors.forename: Luca
authors.identifier: 0000-0001-8489-5531
authors.initials: L
authors.lastname: Guerrini
mesh_terms: D057217:Economic Development; D006801:Humans; D008962:Models, Theoretical; D010507:Periodicity; D011158:Population Growth