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Discrete & Continuous Dynamical Systems - B

August 2018 , Volume 23 , Issue 6

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A survey of results on conservation laws with deterministic and random initial data
Carey Caginalp
2018, 23(6): 2043-2069 doi: 10.3934/dcdsb.2018225 +[Abstract](581) +[HTML](104) +[PDF](1939.57KB)
Epidemic dynamics on complex networks with general infection rate and immune strategies
Shouying Huang and Jifa Jiang
2018, 23(6): 2071-2090 doi: 10.3934/dcdsb.2018226 +[Abstract](961) +[HTML](61) +[PDF](885.99KB)
Traveling wave solutions in advection hyperbolic-parabolic system with nonlocal delay
Kun Li, Jianhua Huang and Xiong Li
2018, 23(6): 2091-2119 doi: 10.3934/dcdsb.2018227 +[Abstract](834) +[HTML](73) +[PDF](515.87KB)
Analysis of a Lévy-diffusion Leslie-Gower predator-prey model with nonmonotonic functional response
Hongwei Yin, Xiaoyong Xiao and Xiaoqing Wen
2018, 23(6): 2121-2151 doi: 10.3934/dcdsb.2018228 +[Abstract](930) +[HTML](62) +[PDF](557.31KB)
On SIR-models with Markov-modulated events: Length of an outbreak, total size of the epidemic and number of secondary infections
E. Almaraz and A. Gómez-Corral
2018, 23(6): 2153-2176 doi: 10.3934/dcdsb.2018229 +[Abstract](948) +[HTML](52) +[PDF](827.62KB)
Numerical approximations for a smectic-A liquid crystal flow model: First-order, linear, decoupled and energy stable schemes
Qiumei Huang, Xiaofeng Yang and Xiaoming He
2018, 23(6): 2177-2192 doi: 10.3934/dcdsb.2018230 +[Abstract](794) +[HTML](83) +[PDF](970.81KB)
Pullback dynamic behavior for a non-autonomous incompressible non-Newtonian fluid
Guowei Liu and Rui Xue
2018, 23(6): 2193-2216 doi: 10.3934/dcdsb.2018231 +[Abstract](587) +[HTML](40) +[PDF](444.61KB)
On the mild Itô formula in Banach spaces
Sonja Cox, Arnulf Jentzen, Ryan Kurniawan and Primož Pušnik
2018, 23(6): 2217-2243 doi: 10.3934/dcdsb.2018232 +[Abstract](700) +[HTML](66) +[PDF](571.52KB)
Boundedness and persistence of populations in advective Lotka-Volterra competition system
Qi Wang, Yang Song and Lingjie Shao
2018, 23(6): 2245-2263 doi: 10.3934/dcdsb.2018195 +[Abstract](681) +[HTML](85) +[PDF](438.3KB)
Quantized vortex dynamics and interaction patterns in superconductivity based on the reduced dynamical law
Zhiguo Xu, Weizhu Bao and Shaoyun Shi
2018, 23(6): 2265-2297 doi: 10.3934/dcdsb.2018096 +[Abstract](899) +[HTML](289) +[PDF](832.76KB)
Periodic orbits of perturbed non-axially symmetric potentials in 1:1:1 and 1:1:2 resonances
Motserrat Corbera, Jaume Llibre and Claudia Valls
2018, 23(6): 2299-2337 doi: 10.3934/dcdsb.2018101 +[Abstract](594) +[HTML](35) +[PDF](409.13KB)
On a coupled SDE-PDE system modeling acid-mediated tumor invasion
Sandesh Athni Hiremath, Christina Surulescu, Anna Zhigun and Stefanie Sonner
2018, 23(6): 2339-2369 doi: 10.3934/dcdsb.2018071 +[Abstract](1681) +[HTML](718) +[PDF](4097.16KB)
Transient growth in stochastic Burgers flows
Diogo Poças and Bartosz Protas
2018, 23(6): 2371-2391 doi: 10.3934/dcdsb.2018052 +[Abstract](1118) +[HTML](540) +[PDF](1207.59KB)
Qualitative analysis of kinetic-based models for tumor-immune system interaction
Martina Conte, Maria Groppi and Giampiero Spiga
2018, 23(6): 2393-2414 doi: 10.3934/dcdsb.2018060 +[Abstract](1505) +[HTML](537) +[PDF](1032.82KB)
A stochastic SIRI epidemic model with Lévy noise
Badr-eddine Berrhazi, Mohamed El Fatini, Tomás Caraballo and Roger Pettersson
2018, 23(6): 2415-2431 doi: 10.3934/dcdsb.2018057 +[Abstract](2348) +[HTML](782) +[PDF](2371.8KB)
Necessary and sufficient conditions for ergodicity of CIR model driven by stable processes with Markov switching
Zhenzhong Zhang, Enhua Zhang and Jinying Tong
2018, 23(6): 2433-2455 doi: 10.3934/dcdsb.2018053 +[Abstract](1421) +[HTML](403) +[PDF](547.47KB)
Asymptotic behavior of non-expanding piecewise linear maps in the presence of random noise
Fumihiko Nakamura
2018, 23(6): 2457-2473 doi: 10.3934/dcdsb.2018055 +[Abstract](1057) +[HTML](348) +[PDF](652.86KB)
Algebraic limit cycles for quadratic polynomial differential systems
Jaume Llibre and Claudia Valls
2018, 23(6): 2475-2485 doi: 10.3934/dcdsb.2018070 +[Abstract](1404) +[HTML](519) +[PDF](352.05KB)
A new flexible discrete-time model for stable populations
Eduardo Liz
2018, 23(6): 2487-2498 doi: 10.3934/dcdsb.2018066 +[Abstract](981) +[HTML](343) +[PDF](393.85KB)
Random dynamics of non-autonomous semi-linear degenerate parabolic equations on $\mathbb{R}^N$ driven by an unbounded additive noise
Wenqiang Zhao
2018, 23(6): 2499-2526 doi: 10.3934/dcdsb.2018065 +[Abstract](1110) +[HTML](355) +[PDF](537.79KB)
Mechanism for the color transition of the Belousov-Zhabotinsky reaction catalyzed by cerium ions and ferroin
Chikahiro Egami
2018, 23(6): 2527-2544 doi: 10.3934/dcdsb.2018061 +[Abstract](1769) +[HTML](630) +[PDF](1637.32KB)
The modified Camassa-Holm equation in Lagrangian coordinates
Yu Gao and Jian-Guo Liu
2018, 23(6): 2545-2592 doi: 10.3934/dcdsb.2018067 +[Abstract](1179) +[HTML](376) +[PDF](728.59KB)
Stationary solutions of a free boundary problem modeling growth of angiogenesis tumor with inhibitor
Zejia Wang, Suzhen Xu and Huijuan Song
2018, 23(6): 2593-2605 doi: 10.3934/dcdsb.2018129 +[Abstract](751) +[HTML](34) +[PDF](820.18KB)
Fink type conjecture on affine-periodic solutions and Levinson's conjecture to Newtonian systems
Yong Li, Hongren Wang and Xue Yang
2018, 23(6): 2607-2623 doi: 10.3934/dcdsb.2018123 +[Abstract](891) +[HTML](231) +[PDF](402.06KB)
Spatial dynamics of a reaction-diffusion cholera model with spatial heterogeneity
Xiaoyan Zhang and Yuxiang Zhang
2018, 23(6): 2625-2640 doi: 10.3934/dcdsb.2018124 +[Abstract](1100) +[HTML](332) +[PDF](401.53KB)

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