title: Attracting theorems for cyclic sets and impermanence.
abstract: We derive attraction theorems for a cycle connecting nonempty compact (isolated) invariant sets using an average Lyapunov function. An application is given to a concrete system having such a cycle with the object to obtain the impermanence of the system.
authors.affiliation: Department of Theoretical Biology, Academy of Sciences of the Czech Republic, Faculty of Biological Science USB, Ceske Budejovice, Czech Republic. sikder@entu.cas.cz
authors.forename: A
authors.initials: A
authors.lastname: Sikder
mesh_terms: D000818:Animals; D004463:Ecology; D008433:Mathematics; D008954:Models, Biological; D011235:Predatory Behavior