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Discrete & Continuous Dynamical Systems - B

September 2015 , Volume 20 , Issue 7

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Optimal linear stability condition for scalar differential equations with distributed delay
Samuel Bernard and Fabien Crauste
2015, 20(7): 1855-1876 doi: 10.3934/dcdsb.2015.20.1855 +[Abstract](1311) +[PDF](583.9KB)
Functionals-preserving cosine families generated by Laplace operators in C[0,1]
Adam Bobrowski, Adam Gregosiewicz and Małgorzata Murat
2015, 20(7): 1877-1895 doi: 10.3934/dcdsb.2015.20.1877 +[Abstract](912) +[PDF](592.5KB)
Long-time behavior of solutions of a BBM equation with generalized damping
Jean-Paul Chehab, Pierre Garnier and Youcef Mammeri
2015, 20(7): 1897-1915 doi: 10.3934/dcdsb.2015.20.1897 +[Abstract](1007) +[PDF](1287.8KB)
Chaos in a model for masting
Kaijen Cheng and Kenneth Palmer
2015, 20(7): 1917-1932 doi: 10.3934/dcdsb.2015.20.1917 +[Abstract](776) +[PDF](440.1KB)
Bifurcation analysis of the damped Kuramoto-Sivashinsky equation with respect to the period
Yuncherl Choi, Jongmin Han and Chun-Hsiung Hsia
2015, 20(7): 1933-1957 doi: 10.3934/dcdsb.2015.20.1933 +[Abstract](917) +[PDF](501.4KB)
Quasi-effective stability for a nearly integrable volume-preserving mapping
Fuzhong Cong and Hongtian Li
2015, 20(7): 1959-1970 doi: 10.3934/dcdsb.2015.20.1959 +[Abstract](916) +[PDF](372.9KB)
Lyapunov functions and global stability for a discretized multigroup SIR epidemic model
Deqiong Ding, Wendi Qin and Xiaohua Ding
2015, 20(7): 1971-1981 doi: 10.3934/dcdsb.2015.20.1971 +[Abstract](1302) +[PDF](353.3KB)
Reorientation of smectic a liquid crystals by magnetic fields
Carlos J. García-Cervera and Sookyung Joo
2015, 20(7): 1983-2000 doi: 10.3934/dcdsb.2015.20.1983 +[Abstract](930) +[PDF](11824.3KB)
Analysis of a model for bent-core liquid crystals columnar phases
Tiziana Giorgi and Feras Yousef
2015, 20(7): 2001-2026 doi: 10.3934/dcdsb.2015.20.2001 +[Abstract](820) +[PDF](1313.8KB)
Protection zone in a modified Lotka-Volterra model
Xiao He and Sining Zheng
2015, 20(7): 2027-2038 doi: 10.3934/dcdsb.2015.20.2027 +[Abstract](1028) +[PDF](369.6KB)
The reaction-diffusion system for an SIR epidemic model with a free boundary
Haomin Huang and Mingxin Wang
2015, 20(7): 2039-2050 doi: 10.3934/dcdsb.2015.20.2039 +[Abstract](1914) +[PDF](397.3KB)
Dynamics of stochastic fractional Boussinesq equations
Jianhua Huang, Tianlong Shen and Yuhong Li
2015, 20(7): 2051-2067 doi: 10.3934/dcdsb.2015.20.2051 +[Abstract](941) +[PDF](423.2KB)
Permanence and extinction of non-autonomous Lotka-Volterra facultative systems with jump-diffusion
Dan Li, Jing'an Cui and Yan Zhang
2015, 20(7): 2069-2088 doi: 10.3934/dcdsb.2015.20.2069 +[Abstract](864) +[PDF](439.1KB)
The spreading fronts in a mutualistic model with advection
Mei Li and Zhigui Lin
2015, 20(7): 2089-2105 doi: 10.3934/dcdsb.2015.20.2089 +[Abstract](1093) +[PDF](487.3KB)
Existence and uniqueness of steady flows of nonlinear bipolar viscous fluids in a cylinder
Allen Montz, Hamid Bellout and Frederick Bloom
2015, 20(7): 2107-2128 doi: 10.3934/dcdsb.2015.20.2107 +[Abstract](834) +[PDF](436.6KB)
Competition for one nutrient with recycling and allelopathy in an unstirred chemostat
Hua Nie and Feng-Bin Wang
2015, 20(7): 2129-2155 doi: 10.3934/dcdsb.2015.20.2129 +[Abstract](826) +[PDF](797.6KB)
Exponential stability of solutions to impulsive stochastic differential equations driven by $G$-Brownian motion
Yong Ren, Xuejuan Jia and Lanying Hu
2015, 20(7): 2157-2169 doi: 10.3934/dcdsb.2015.20.2157 +[Abstract](1163) +[PDF](386.9KB)
The modeling error of well treatment for unsteady flow in porous media
Ting Zhang
2015, 20(7): 2171-2185 doi: 10.3934/dcdsb.2015.20.2171 +[Abstract](814) +[PDF](380.0KB)
On the Budyko-Sellers energy balance climate model with ice line coupling
James Walsh and Christopher Rackauckas
2015, 20(7): 2187-2216 doi: 10.3934/dcdsb.2015.20.2187 +[Abstract](1225) +[PDF](981.2KB)
Global stability of the dengue disease transmission models
Jing-Jing Xiang, Juan Wang and Li-Ming Cai
2015, 20(7): 2217-2232 doi: 10.3934/dcdsb.2015.20.2217 +[Abstract](1132) +[PDF](412.3KB)
Strong averaging principle for slow-fast SPDEs with Poisson random measures
Jie Xu, Yu Miao and Jicheng Liu
2015, 20(7): 2233-2256 doi: 10.3934/dcdsb.2015.20.2233 +[Abstract](1085) +[PDF](451.6KB)
Stochastic averaging for slow-fast dynamical systems with fractional Brownian motion
Yong Xu, Bin Pei and Rong Guo
2015, 20(7): 2257-2267 doi: 10.3934/dcdsb.2015.20.2257 +[Abstract](1517) +[PDF](366.3KB)
Dynamics of a food chain model with ratio-dependent and modified Leslie-Gower functional responses
Wen-Bin Yang, Yan-Ling Li, Jianhua Wu and Hai-Xia Li
2015, 20(7): 2269-2290 doi: 10.3934/dcdsb.2015.20.2269 +[Abstract](966) +[PDF](511.1KB)

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