Stochastic functional population dynamics with jumps

نویسندگان

  • L. Tan 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
  • X. Yang School of Mathematics and Statistics, Central South University, Changsha, 410075, China
  • Z. Hou Mathematics Department, Central South University
چکیده مقاله:

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.

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stochastic functional population dynamics with jumps

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عنوان ژورنال

دوره 41  شماره 3

صفحات  723- 737

تاریخ انتشار 2015-06-01

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