in this paper we use a class of stochastic functional kolmogorov-type model with jumps to describe the evolutions of population dynamics. by constructing a special lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...

In this paper we use a class of stochastic functional Kolmogorov-type model with jumps to describe the evolutions of population dynamics. By constructing a special Lyapunov function, we show that the stochastic functional differential equation associated with our model admits a unique global solution in the positive orthant, and, by the exponential martingale inequality with jumps, we dis...

Two models for making population forecasts are presented and discussed. One of them is based on an analytical Gaussian solution of the Kolmogorov-Fokker-Planck equation and regression model for risk factor dynamics. The second is based on more general diffusion type stochastic differential equations. Numerical schemes for parameter estimation from longitudinal data and for forecasting are discu...