Supported by the National Natural Science Foundation of China Grant No.11571009;Shanxi Scholarship Council of China under Grant No.2015-032;Technological Innovation Programs of Higher Education Institutions in Shanxi Grant No.2015121;Applied Basic Research Programs of Shanxi Province Grant No.2016021013
We study a population model with strong and weak Allee effect driven by internal noise and external noise.Firstly, a single-species population model with Allee effect under environmental colored noise is established, ...
Supported by the National Natural Science Foundation of China under Grant No.11205110;Shanghai Key Laboratory of Intelligent Information Processing(IIPL-2011-009);Innovative Training Program for College Students under Grant No.2015xj070
In this paper, we consider the stationary probability and first-passage time of biased random walk on 1D chain, where at each step the walker moves to the left and right with probabilities p and q respectively(0 p, q ...
Supported by the National Natural Science Foundation of China under Grant No.11305079;the Introduction of Talent Capital Group Fund Project of Kunming University of Science and Technology under Grant No.KKZ3201407030
In this paper, we investigate the stationary probability distribution and mean first passage time in a vegetation ecological system, which is driven by cross-correlation between intrinsic and extrinsic colored noises ...
Supported by the National Natural Science Foundation of China under Grant Nos.11172233,10932009,61171155;Natural Science Foundation of Shannxi Province under Grant No.2012JM8010;the Doctorate Foundation of Northwestern Polytechnical University under Grant No.CX201215
A stochastic version of Lotka-Volterra model subjected to real noises is proposed and investigated. The approximate stationary probability densities for both predator and prey are obtained analytically. The original s...
This note looks at the two similarity solutions of the Navier-Stokes equations in polar coordinates. In the second solution an initial value problem is reduced into generalized stationary KDV and hence integrable.
the National Basic Research Program of China under Grant No.2003CB716302;the National Natural Science Foundation of China under Grant No.10773002
Using Damour-Ruflini's method, Hawking radiation from a general stationary black hole is investigated again deeply. Considering the back reaction of the particle to the space-time and energy conservation, we find tha...
The effects of time-delayed feedback control in a single-mode laser system is investigated.Using the smalltime delay approximation,the analytic expression of the stationary probability distribution function of the las...
National Natural Science Foundation of China under Grant No.10575034;Natural Science Foundation of Hunan Province of China under Grant Nos.06JJ2014 and 04JJ40006
We study the nonlinear dynamics of two-component Bose-Einstein condensates in one-dimensional pe-riodic optical lattice potentials.The stationary state perturbation solutions of the coupled two-component nonlinearSchr...
Applying the approximate Fokker-Planck equation we derived, we obtain the analytic expression of the stationary laser intensity distribution Pst(l) by studying the single-mode laser cubic model subject to colored cros...