%0 Journal Article
%T Stochastic functional population dynamics with jumps
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Tan, L.
%A Hou, Z.
%A Yang, X.
%D 2015
%\ 06/01/2015
%V 41
%N 3
%P 723-737
%! Stochastic functional population dynamics with jumps
%K Kolmogorov-type population dynamics
%K jumps
%K exponential martingale inequality with jumps
%K asymptotic
pathwise estimation
%R
%X 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.
%U http://bims.iranjournals.ir/article_645_d60f90e0d0f95b10042f68b0131b8ee8.pdf