Markov evolution of infinite age-structured populations of migrants

In this talk, I would like to present the Markov evolution of infinite age-structured populations 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 is constructing the evolution μ0→μt of such states by solving a standard Fokker-Planck equation for this model. We also found a stationary state μ existing if the emigration rate is separated away from zero. It is then shown that μt weakly converges to μ as t→+∞. Hangouts Meet: meet.google.com/ufe-xfwd-jio