Problems of mathematical modelling of population dynamics

The general approach for modelling of abundance dynamic of biological popul ations and communities is offered. The mechanisms of individual adaptation in changing environment are considered. The approach is detailed for popula tion models without structure and with age structure. The property of solut ions are investigated. As examples the author studies the concrete definiti ons of general models by analogy with models of Ricker and May. Theoretical analysis and calculations shows that survival of model population in extre me situation increases if adaptive behaviour is taking into account.