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.
Tan, L., Hou, Z., & Yang, X. (2015). Stochastic functional population dynamics with jumps. Bulletin of the Iranian Mathematical Society, 41(3), 723-737.
MLA
Tan, L., Hou, Z., & Yang, X. "Stochastic functional population dynamics with jumps", Bulletin of the Iranian Mathematical Society, 41, 3, 2015, 723-737.
HARVARD
Tan L., Hou Z., Yang X. (2015). 'Stochastic functional population dynamics with jumps', Bulletin of the Iranian Mathematical Society, 41(3), pp. 723-737.
CHICAGO
L. Tan, Z. Hou & X. Yang, "Stochastic functional population dynamics with jumps," Bulletin of the Iranian Mathematical Society, 41 3 (2015): 723-737,
VANCOUVER
Tan L., Hou Z., Yang X. Stochastic functional population dynamics with jumps. BIMS. 2015;41(3):723-737.