Stochastic functional population dynamics with jumps

Document Type: Research Paper

Authors

1 School of Statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China and Research Center of Applied statistics, Jiangxi University of Finance and Economics, Nanchang, 330013, China

2 Mathematics Department, Central South University

3 School of Mathematics and Statistics, Central South University, Changsha, 410075, China

Abstract

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 discuss the asymptotic pathwise estimation of such a model.

Keywords

Main Subjects