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Population models with environmental stochasticity
Authors:Mats Gyllenberg  Göran Högnäs  Timo Koski
Institution:(1) Department of Applied Mathematics, Luleå University of Technology, S-95187 Luleå, Sweden;(2) Department of Mathematics, Åbo Akademi, SF-20500 Åbo, Finland;(3) Present address: Department of Mathematics, University of Turku, SF-20500 Turku, Finland
Abstract:Two discrete population models, one with stochasticity in the carrying capacity and one with stochasticity in the per capita growth rate, are investigated. Conditions under which the corresponding Markov processes are null recurrent and positively recurrent are derived.
Keywords:Markov processes  Invariant measures  Population Dynamics  Non-linear Stochastic Difference Equations  Recurrence
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