Abstract
The Markov evolution is studied of an infinite age‐structured population of migrants arriving in and departing from a continuous habitat —at random and independently of each other. Each population member is characterized by its age a ≥ 0 (time of presence in the population) and location x ∈ X. The population states are probability measures on the space of the corresponding marked configurations. The result of the paper is an explicit construction of the evolution μ0 → μt of such states by solving a standard Fokker–Planck equation for this models. We also found a stationary state μ existing if the emigration rate is separated away from zero. Under additional conditions imposed on μ0, it is shown that μt weakly converges to μ as t → +∞.
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