title: Hierarchical competition models with Allee effects.
abstract: We consider a two-species hierarchical competition model with a strong Allee effect. The Allee effect is assumed to be caused by predator saturation. Moreover, we assume that there is a 'silverback' species x that gets first choice of the resources and where growth is limited by its own intraspecific competition, while the second 'inferior' species y gets whatever is left. Both species x and y are assumed to have the property of strong Allee effect. In this paper we determine the impact of the presence of the Allee effect on the global dynamics of both species.
authors.affiliation: a Department of Mathematics , Umm Al-Qura University , B.O.X 10265, Makkah , Saudi Arabia.
authors.forename: Laila
authors.initials: L
authors.lastname: Assas
authors.forename: Saber
authors.initials: S
authors.lastname: Elaydi
authors.forename: Eddy
authors.initials: E
authors.lastname: Kwessi
authors.forename: George
authors.initials: G
authors.lastname: Livadiotis
authors.forename: David
authors.initials: D
authors.lastname: Ribble
mesh_terms: D006801:Humans; D008954:Models, Biological; D011157:Population Dynamics; D013045:Species Specificity
keywords: 39A11; 92D25; Allee effect; exclusion region; extinction region; hierarchical; persistence (coexistence) region; stability