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Discrete & Continuous Dynamical Systems - B

October 2018 , Volume 23 , Issue 8

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Positive solutions to the unstirred chemostat model with Crowley-Martin functional response
Hai-Xia Li, Jian-Hua Wu, Yan-Ling Li and Chun-An Liu
2018, 23(8): 2951-2966 doi: 10.3934/dcdsb.2017128 +[Abstract](2339) +[HTML](705) +[PDF](481.89KB)
Fractional Navier-Stokes equations
Jan W. Cholewa and Tomasz Dlotko
2018, 23(8): 2967-2988 doi: 10.3934/dcdsb.2017149 +[Abstract](3340) +[HTML](1068) +[PDF](566.06KB)
Stability of dislocation networks of low angle grain boundaries using a continuum energy formulation
Yang Xiang and Xiaodong Yan
2018, 23(8): 2989-3021 doi: 10.3934/dcdsb.2017183 +[Abstract](1609) +[HTML](721) +[PDF](639.49KB)
Eventual smoothness and asymptotic behaviour of solutions to a chemotaxis system perturbed by a logistic growth
Giuseppe Viglialoro and Thomas E. Woolley
2018, 23(8): 3023-3045 doi: 10.3934/dcdsb.2017199 +[Abstract](2152) +[HTML](610) +[PDF](1150.37KB)
On the scale dynamics of the tropical cyclone intensity
Chanh Kieu and Quan Wang
2018, 23(8): 3047-3070 doi: 10.3934/dcdsb.2017196 +[Abstract](1669) +[HTML](605) +[PDF](1387.75KB)
Repulsion effects on boundedness in a quasilinear attraction-repulsion chemotaxis model in higher dimensions
Hai-Yang Jin and Tian Xiang
2018, 23(8): 3071-3085 doi: 10.3934/dcdsb.2017197 +[Abstract](1631) +[HTML](618) +[PDF](462.02KB)
Positive steady states of a density-dependent predator-prey model with diffusion
Kaigang Huang, Yongli Cai, Feng Rao, Shengmao Fu and Weiming Wang
2018, 23(8): 3087-3107 doi: 10.3934/dcdsb.2017209 +[Abstract](1797) +[HTML](647) +[PDF](602.62KB)
Continuous and discrete one dimensional autonomous fractional ODEs
Yuanyuan Feng, Lei Li, Jian-Guo Liu and Xiaoqian Xu
2018, 23(8): 3109-3135 doi: 10.3934/dcdsb.2017210 +[Abstract](1834) +[HTML](596) +[PDF](624.84KB)
Cumulative and maximum epidemic sizes for a nonlinear SEIR stochastic model with limited resources
Julia Amador and Mariajesus Lopez-Herrero
2018, 23(8): 3137-3151 doi: 10.3934/dcdsb.2017211 +[Abstract](1813) +[HTML](608) +[PDF](387.29KB)
Method of sub-super solutions for fractional elliptic equations
Yanqin Fang and De Tang
2018, 23(8): 3153-3165 doi: 10.3934/dcdsb.2017212 +[Abstract](1940) +[HTML](561) +[PDF](393.68KB)
The dynamics of gene transcription in random environments
Jian Ren, Feng Jiao, Qiwen Sun, Moxun Tang and Jianshe Yu
2018, 23(8): 3167-3194 doi: 10.3934/dcdsb.2018224 +[Abstract](935) +[HTML](134) +[PDF](4520.34KB)
Nonconforming elements of class $L^2$ for Helmholtz transmission eigenvalue problems
Jiayu Han
2018, 23(8): 3195-3212 doi: 10.3934/dcdsb.2018281 +[Abstract](752) +[HTML](53) +[PDF](515.07KB)
Global dynamics and travelling wave solutions for a class of non-cooperative reaction-diffusion systems with nonlocal infections
Wei Wang and Wanbiao Ma
2018, 23(8): 3213-3235 doi: 10.3934/dcdsb.2018242 +[Abstract](753) +[HTML](74) +[PDF](542.75KB)
Partial control of chaos: How to avoid undesirable behaviors with small controls in presence of noise
Rubén Capeáns, Juan Sabuco and Miguel A. F. Sanjuán
2018, 23(8): 3237-3274 doi: 10.3934/dcdsb.2018241 +[Abstract](524) +[HTML](77) +[PDF](6707.18KB)
Stochastic non-autonomous Holling type-Ⅲ prey-predator model with predator's intra-specific competition
Sampurna Sengupta, Pritha Das and Debasis Mukherjee
2018, 23(8): 3275-3296 doi: 10.3934/dcdsb.2018244 +[Abstract](680) +[HTML](101) +[PDF](621.15KB)
Global Kneser solutions to nonlinear equations with indefinite weight
Zuzana Došlá, Mauro Marini and Serena Matucci
2018, 23(8): 3297-3308 doi: 10.3934/dcdsb.2018252 +[Abstract](429) +[HTML](69) +[PDF](386.14KB)
Poisson $S^2$-almost automorphy for stochastic processes and its applications to SPDEs driven by Lévy noise
Xueqin Li, Chao Tang and Tianmin Huang
2018, 23(8): 3309-3345 doi: 10.3934/dcdsb.2018282 +[Abstract](603) +[HTML](67) +[PDF](513.87KB)
Exponential stability of SDEs driven by $G$-Brownian motion with delayed impulsive effects: average impulsive interval approach
Yong Ren, Wensheng Yin and Dongjin Zhu
2018, 23(8): 3347-3360 doi: 10.3934/dcdsb.2018248 +[Abstract](611) +[HTML](81) +[PDF](398.15KB)
On geometric conditions for reduction of the Moreau sweeping process to the Prandtl-Ishlinskii operator
Dmitrii Rachinskii
2018, 23(8): 3361-3386 doi: 10.3934/dcdsb.2018246 +[Abstract](506) +[HTML](61) +[PDF](640.9KB)
Mathematical analysis of macrophage-bacteria interaction in tuberculosis infection
Danyun He, Qian Wang and Wing-Cheong Lo
2018, 23(8): 3387-3413 doi: 10.3934/dcdsb.2018239 +[Abstract](851) +[HTML](243) +[PDF](1087.46KB)
Chaotic dynamics in a transport equation on a network
Proscovia Namayanja
2018, 23(8): 3415-3426 doi: 10.3934/dcdsb.2018283 +[Abstract](442) +[HTML](71) +[PDF](371.87KB)
Global solutions to Chemotaxis-Navier-Stokes equations in critical Besov spaces
Minghua Yang, Zunwei Fu and Jinyi Sun
2018, 23(8): 3427-3460 doi: 10.3934/dcdsb.2018284 +[Abstract](873) +[HTML](126) +[PDF](628.66KB)
Synchronization in networks with strongly delayed couplings
Daniel M. N. Maia, Elbert E. N. Macau, Tiago Pereira and Serhiy Yanchuk
2018, 23(8): 3461-3482 doi: 10.3934/dcdsb.2018234 +[Abstract](702) +[HTML](67) +[PDF](779.14KB)
A stochastic SIRI epidemic model with relapse and media coverage
Tomás Caraballo, Mohamed El Fatini, Roger Pettersson and Regragui Taki
2018, 23(8): 3483-3501 doi: 10.3934/dcdsb.2018250 +[Abstract](942) +[HTML](82) +[PDF](873.67KB)
Horizontal patterns from finite speed directional quenching
Rafael Monteiro
2018, 23(8): 3503-3534 doi: 10.3934/dcdsb.2018285 +[Abstract](576) +[HTML](60) +[PDF](695.25KB)

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