1 citations · 2 across the 5 of their papers we have counts for
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Stochastic Population Dynamics Driven by Levy Noise
Jianhai Bao, Chenggui Yuan
This paper considers stochastic population dynamics driven by Levy noise. The contributions of this paper lie in that (a) Using Khasminskii-Mao theorem, we show that the stochastic…
Stabilization of Partial Differential Equations by Levy Noise
Jianhai Bao, Chenggui Yuan
We focus in this paper on the stochastic stabilization problems of PDEs by Levy noise. Sufficient conditions under which the perturbed systems decay exponentially with a general ra…
Comparison Theorem for Stochastic Differential Delay Equations with Jumps
Jianhai Bao, Chenggui Yuan
In this paper we establish a comparison theorem for stochastic differential delay equations with jumps. An example is constructed to demonstrate that the comparison theorem need no…
Competitive Lotka-Volterra Population Dynamics with Jumps
Jianhai Bao, Xuerong Mao, Geroge Yin +1
This paper considers competitive Lotka-Volterra population dynamics with jumps. The contributions of this paper are as follows. (a) We show stochastic differential equation (SDE) w…
Poincare Inequality on the Path Space of Poisson Point Processes
Feng-Yu Wang, Chenggui Yuan
The quasi-invariance is proved for the distributions of Poisson point processes under a random shift map on the path space. This leads to a natural Dirichlet form of jump type on t…