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Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks
1.  Department of Mathematics, United States Naval Academy, Annapolis, MD 21402, United States 
2.  Deptartments of Mathematics, Computer Science, and Physics, Clarkson University, Potsdam, NY 13699, United States 
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Razvan C. Fetecau, Beril Zhang. Selforganization on Riemannian manifolds. Journal of Geometric Mechanics, 2019, 11 (3) : 397426. doi: 10.3934/jgm.2019020 
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Suoqin Jin, FangXiang Wu, Xiufen Zou. Domain control of nonlinear networked systems and applications to complex disease networks. Discrete & Continuous Dynamical Systems  B, 2017, 22 (6) : 21692206. doi: 10.3934/dcdsb.2017091 
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W. E. Fitzgibbon, J. J. Morgan. Analysis of a reaction diffusion model for a reservoir supported spread of infectious disease. Discrete & Continuous Dynamical Systems  B, 2019, 24 (11) : 62396259. doi: 10.3934/dcdsb.2019137 
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Ionel S. Ciuperca, Matthieu Dumont, Abdelkader Lakmeche, Pauline Mazzocco, Laurent PujoMenjouet, Human Rezaei, Léon M. Tine. Alzheimer's disease and prion: An in vitro mathematical model. Discrete & Continuous Dynamical Systems  B, 2019, 24 (10) : 52255260. doi: 10.3934/dcdsb.2019057 
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S.M. Moghadas. Modelling the effect of imperfect vaccines on disease epidemiology. Discrete & Continuous Dynamical Systems  B, 2004, 4 (4) : 9991012. doi: 10.3934/dcdsb.2004.4.999 
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Louis D. Bergsman, James M. Hyman, Carrie A. Manore. A mathematical model for the spread of west nile virus in migratory and resident birds. Mathematical Biosciences & Engineering, 2016, 13 (2) : 401424. doi: 10.3934/mbe.2015009 
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David Greenhalgh, Karen E. Lamb, Chris Robertson. A mathematical model for the spread of streptococcus pneumoniae with transmission due to sequence type. Conference Publications, 2011, 2011 (Special) : 553567. doi: 10.3934/proc.2011.2011.553 
[12] 
Georgy P. Karev. Dynamics of heterogeneous populations and communities and evolution of distributions. Conference Publications, 2005, 2005 (Special) : 487496. doi: 10.3934/proc.2005.2005.487 
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Giacomo Albi, Lorenzo Pareschi, Mattia Zanella. Opinion dynamics over complex networks: Kinetic modelling and numerical methods. Kinetic & Related Models, 2017, 10 (1) : 132. doi: 10.3934/krm.2017001 
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Marco Sarich, Natasa Djurdjevac Conrad, Sharon Bruckner, Tim O. F. Conrad, Christof Schütte. Modularity revisited: A novel dynamicsbased concept for decomposing complex networks. Journal of Computational Dynamics, 2014, 1 (1) : 191212. doi: 10.3934/jcd.2014.1.191 
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Jiying Ma, Dongmei Xiao. Nonlinear dynamics of a mathematical model on action potential duration and calcium transient in paced cardiac cells. Discrete & Continuous Dynamical Systems  B, 2013, 18 (9) : 23772396. doi: 10.3934/dcdsb.2013.18.2377 
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Stelian Ion, Gabriela Marinoschi. A selforganizing criticality mathematical model for contamination and epidemic spreading. Discrete & Continuous Dynamical Systems  B, 2017, 22 (2) : 383405. doi: 10.3934/dcdsb.2017018 
[18] 
Junyuan Yang, Yuming Chen, Jiming Liu. Stability analysis of a twostrain epidemic model on complex networks with latency. Discrete & Continuous Dynamical Systems  B, 2016, 21 (8) : 28512866. doi: 10.3934/dcdsb.2016076 
[19] 
Ali Unver, Christian Ringhofer, Dieter Armbruster. A hyperbolic relaxation model for product flow in complex production networks. Conference Publications, 2009, 2009 (Special) : 790799. doi: 10.3934/proc.2009.2009.790 
[20] 
Wenzhang Huang, Maoan Han, Kaiyu Liu. Dynamics of an SIS reactiondiffusion epidemic model for disease transmission. Mathematical Biosciences & Engineering, 2010, 7 (1) : 5166. doi: 10.3934/mbe.2010.7.51 
2018 Impact Factor: 1.313
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