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Discrete & Continuous Dynamical Systems - B

December 2018 , Volume 23 , Issue 10

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Spreading speed and traveling waves for a non-local delayed reaction-diffusion system without quasi-monotonicity
Zhenguo Bai and Tingting Zhao
2018, 23(10): 4063-4085 doi: 10.3934/dcdsb.2018126 +[Abstract](1465) +[HTML](618) +[PDF](519.85KB)
Time asymptotics of structured populations with diffusion and dynamic boundary conditions
Mustapha Mokhtar-Kharroubi and Quentin Richard
2018, 23(10): 4087-4116 doi: 10.3934/dcdsb.2018127 +[Abstract](5291) +[HTML](489) +[PDF](467.24KB)
On a free boundary problem for a nonlocal reaction-diffusion model
Jia-Feng Cao, Wan-Tong Li and Meng Zhao
2018, 23(10): 4117-4139 doi: 10.3934/dcdsb.2018128 +[Abstract](1454) +[HTML](561) +[PDF](474.87KB)
Global phase portraits of a degenerate Bogdanov-Takens system with symmetry (Ⅱ)
Hebai Chen and Xingwu Chen
2018, 23(10): 4141-4170 doi: 10.3934/dcdsb.2018130 +[Abstract](1357) +[HTML](667) +[PDF](1375.03KB)
On the Cauchy problem for the XFEL Schrödinger equation
Binhua Feng and Dun Zhao
2018, 23(10): 4171-4186 doi: 10.3934/dcdsb.2018131 +[Abstract](1175) +[HTML](539) +[PDF](412.45KB)
A perturbed fourth order elliptic equation with negative exponent
Zongming Guo and Long Wei
2018, 23(10): 4187-4205 doi: 10.3934/dcdsb.2018132 +[Abstract](1166) +[HTML](500) +[PDF](415.14KB)
Carleman estimate for solutions to a degenerate convection-diffusion equation
Chunpeng Wang, Yanan Zhou, Runmei Du and Qiang Liu
2018, 23(10): 4207-4222 doi: 10.3934/dcdsb.2018133 +[Abstract](1229) +[HTML](463) +[PDF](448.88KB)
Global stability of a diffusive and delayed HBV infection model with HBV DNA-containing capsids and general incidence rate
Ting Guo, Haihong Liu, Chenglin Xu and Fang Yan
2018, 23(10): 4223-4242 doi: 10.3934/dcdsb.2018134 +[Abstract](1320) +[HTML](584) +[PDF](1076.74KB)
Upper and lower bounds for the blow-up time in quasilinear reaction diffusion problems
Juntang Ding and Xuhui Shen
2018, 23(10): 4243-4254 doi: 10.3934/dcdsb.2018135 +[Abstract](1072) +[HTML](495) +[PDF](397.38KB)
Invasion and coexistence of competition-diffusion-advection system with heterogeneous vs homogeneous resources
Benlong Xu and Hongyan Jiang
2018, 23(10): 4255-4266 doi: 10.3934/dcdsb.2018136 +[Abstract](1103) +[HTML](452) +[PDF](378.83KB)
Dynamics of weak solutions for the three dimensional Navier-Stokes equations with nonlinear damping
Fang Li, Bo You and Yao Xu
2018, 23(10): 4267-4284 doi: 10.3934/dcdsb.2018137 +[Abstract](1151) +[HTML](519) +[PDF](488.66KB)
Exponential stability of an incompressible non-Newtonian fluid with delay
Linfang Liu, Tomás Caraballo and Xianlong Fu
2018, 23(10): 4285-4303 doi: 10.3934/dcdsb.2018138 +[Abstract](1218) +[HTML](498) +[PDF](591.07KB)
Finite dimensionality of global attractor for the solutions to 3D viscous primitive equations of large-scale moist atmosphere
Boling Guo and Guoli Zhou
2018, 23(10): 4305-4327 doi: 10.3934/dcdsb.2018160 +[Abstract](934) +[HTML](365) +[PDF](457.5KB)
Stabilization of turning processes using spindle feedback with state-dependent delay
Qingwen Hu and Huan Zhang
2018, 23(10): 4329-4360 doi: 10.3934/dcdsb.2018167 +[Abstract](974) +[HTML](303) +[PDF](374.58KB)
Well-posedeness and energy decay of solutions to a bresse system with a boundary dissipation of fractional derivative type
Abbes Benaissa and Abderrahmane Kasmi
2018, 23(10): 4361-4395 doi: 10.3934/dcdsb.2018168 +[Abstract](1074) +[HTML](317) +[PDF](532.0KB)
Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model
Jan Giesselmann, Niklas Kolbe, Lukacova-MedvidovaMaria and Nikolaos Sfakianakis
2018, 23(10): 4397-4431 doi: 10.3934/dcdsb.2018169 +[Abstract](1102) +[HTML](365) +[PDF](988.3KB)
A vicinal surface model for epitaxial growth with logarithmic free energy
Yuan Gao, Hangjie Ji, Jian-Guo Liu and Thomas P. Witelski
2018, 23(10): 4433-4453 doi: 10.3934/dcdsb.2018170 +[Abstract](929) +[HTML](353) +[PDF](1168.3KB)
Convergence rate of strong approximations of compound random maps, application to SPDEs
Emmanuel Gobet and Mohamed Mrad
2018, 23(10): 4455-4476 doi: 10.3934/dcdsb.2018171 +[Abstract](721) +[HTML](352) +[PDF](639.96KB)
Convergence of solutions to inverse problems for a class of variational-hemivariational inequalities
Stanisław Migórski and Biao Zeng
2018, 23(10): 4477-4498 doi: 10.3934/dcdsb.2018172 +[Abstract](987) +[HTML](356) +[PDF](475.26KB)
Theoretical analysis on a diffusive SIR epidemic model with nonlinear incidence in a heterogeneous environment
Chengxia Lei, Fujun Li and Jiang Liu
2018, 23(10): 4499-4517 doi: 10.3934/dcdsb.2018173 +[Abstract](912) +[HTML](396) +[PDF](455.28KB)
Numerical study of phase transition in van der Waals fluid
Qiaolin He, Chang Liu and Xiaoding Shi
2018, 23(10): 4519-4540 doi: 10.3934/dcdsb.2018174 +[Abstract](837) +[HTML](391) +[PDF](9009.6KB)
Identification of generic stable dynamical systems taking a nonlinear differential approach
Mahdi Khajeh Salehani
2018, 23(10): 4541-4555 doi: 10.3934/dcdsb.2018175 +[Abstract](1021) +[HTML](383) +[PDF](467.84KB)
A reaction-diffusion-advection SIS epidemic model in a spatially-temporally heterogeneous environment
Danhua Jiang, Zhi-Cheng Wang and Liang Zhang
2018, 23(10): 4557-4578 doi: 10.3934/dcdsb.2018176 +[Abstract](1072) +[HTML](307) +[PDF](477.44KB)
Prevalence of stable periodic solutions in the forced relativistic pendulum equation
Feng Wang, Jifeng Chu and Zaitao Liang
2018, 23(10): 4579-4594 doi: 10.3934/dcdsb.2018177 +[Abstract](870) +[HTML](294) +[PDF](400.41KB)
Time-dependent asymptotic behavior of the solution for plate equations with linear memory
Tingting Liu and Qiaozhen Ma
2018, 23(10): 4595-4616 doi: 10.3934/dcdsb.2018178 +[Abstract](938) +[HTML](319) +[PDF](509.83KB)

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