title: Dynamical behavior of two predators competing over a single prey.
abstract: Dynamical behavior of a food web comprising two predators competing over a single prey has been investigated. The analysis of the food web model shows that the persistence is not possible for two competing predators sharing a single prey species in the cases when any one of the boundary prey-predator planes has a stable equilibrium point. The principle of competitive exclusion holds in such cases. However, numerical simulations exhibit persistence in the presence of periodic solutions in the boundary planes. The system exhibits quasi-periodic behavior in the positive octant. The co-existence in the form of a limit cycle is also possible in some cases.
authors.affiliation: Department of Mathematics, IIT, Roorkee, Roorkee 247667, India. sungkfma@iitr.ernet.in
authors.forename: Sunita
authors.initials: S
authors.lastname: Gakkhar
authors.forename: Brahampal
authors.initials: B
authors.lastname: Singh
authors.forename: Raid Kamel
authors.initials: RK
authors.lastname: Naji
mesh_terms: D000818:Animals; D020387:Food Chain; D008433:Mathematics; D008954:Models, Biological; D011235:Predatory Behavior / Q000502:physiology*; D049490:Systems Biology