title: Stability of Ecosystems Under Invasions.
abstract: This paper considers a model of foodwebs taking into account species extinction and invasion. We show that system stability depends not only on usual parameters (mortality rates, self-limitation coefficients, and resource abundances), but also on an additional parameter ("biodiversity potential"). The main result is as follows. For foodwebs with random parameters, we obtain an estimate of probability that the foodweb exposed to invasion survives. This estimate involves different system parameters, size and its topological properties.
authors.affiliation: Department of Mathematics, University of Linkoping, 58183, Linkoping, Sweden.
authors.forename: Vladimir
authors.initials: V
authors.lastname: Kozlov
authors.affiliation: Institute for Mechanical Engineering Problems, Russian Academy of Sciences, Bolshoy pr. V. O. 61, Saint Petersburg, Russia. vakulenfr@mail.ru.|ITMO University, Saint Petersburg, Russia. vakulenfr@mail.ru.
authors.forename: Sergey
authors.initials: S
authors.lastname: Vakulenko
authors.affiliation: Department of Ecology, University of Linkoping, 58183, Linkoping, Sweden.
authors.forename: Uno
authors.initials: U
authors.lastname: Wennergren
mesh_terms: D044822:Biodiversity; D003198:Computer Simulation; D003247:Conservation of Natural Resources; D017753:Ecosystem; D053476:Extinction, Biological; D020387:Food Chain; D058865:Introduced Species; D055641:Mathematical Concepts; D008954:Models, Biological; D011157:Population Dynamics / Q000706:statistics & numerical data
keywords: Ecosystem stability; Invasions; Species extinctions