title: Effects of immigration on the dynamics of simple population models.
abstract: Many simple population models exhibit the period doubling route to chaos as a single parameter, commonly the growth rate, is increased. Here we examine the effect of an immigration process on such models and explain why in the case of one-dimensional ("single-humped") maps, immigration often tends to suppress chaos and stabilise equilibrium behaviour or cyclical oscillations of long period. The conditions for which an increase of immigration "simplifies" population dynamics are examined.
authors.affiliation: Department of Zoology, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel. lewi@lanina.tau.ac.il
authors.forename: L
authors.initials: L
authors.lastname: Stone
authors.forename: D
authors.initials: D
authors.lastname: Hart
mesh_terms: D000818:Animals; D004641:Emigration and Immigration / Q000706:statistics & numerical data*; D006801:Humans; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D011157:Population Dynamics; D015203:Reproducibility of Results; D013997:Time Factors