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Graph theory and qualitative analysis of reaction networks
1.  Zeeman Building, Mathematics Institute, University of Warwick, CV4 7AL Coventry, United Kingdom, United Kingdom 
[1] 
M. D. König, Stefano Battiston, M. Napoletano, F. Schweitzer. On algebraic graph theory and the dynamics of innovation networks. Networks and Heterogeneous Media, 2008, 3 (2) : 201219. doi: 10.3934/nhm.2008.3.201 
[2] 
Maya Mincheva, Gheorghe Craciun. Graphtheoretic conditions for zeroeigenvalue Turing instability in general chemical reaction networks. Mathematical Biosciences & Engineering, 2013, 10 (4) : 12071226. doi: 10.3934/mbe.2013.10.1207 
[3] 
Jacek Banasiak, Proscovia Namayanja. Asymptotic behaviour of flows on reducible networks. Networks and Heterogeneous Media, 2014, 9 (2) : 197216. doi: 10.3934/nhm.2014.9.197 
[4] 
Anirban Banerjee, Jürgen Jost. Spectral plot properties: Towards a qualitative classification of networks. Networks and Heterogeneous Media, 2008, 3 (2) : 395411. doi: 10.3934/nhm.2008.3.395 
[5] 
Barton E. Lee. Consensus and voting on large graphs: An application of graph limit theory. Discrete and Continuous Dynamical Systems, 2018, 38 (4) : 17191744. doi: 10.3934/dcds.2018071 
[6] 
Anne Shiu, Timo de Wolff. Nondegenerate multistationarity in small reaction networks. Discrete and Continuous Dynamical Systems  B, 2019, 24 (6) : 26832700. doi: 10.3934/dcdsb.2018270 
[7] 
Erik Kropat, Silja MeyerNieberg, GerhardWilhelm Weber. Singularly perturbed diffusionadvectionreaction processes on extremely large threedimensional curvilinear networks with a periodic microstructure  efficient solution strategies based on homogenization theory. Numerical Algebra, Control and Optimization, 2016, 6 (2) : 183219. doi: 10.3934/naco.2016008 
[8] 
Susana Merchán, Luigi Montoro, I. Peral. Optimal reaction exponent for some qualitative properties of solutions to the $p$heat equation. Communications on Pure and Applied Analysis, 2015, 14 (1) : 245268. doi: 10.3934/cpaa.2015.14.245 
[9] 
Yunfeng Jia, Yi Li, Jianhua Wu. Qualitative analysis on positive steadystates for an autocatalytic reaction model in thermodynamics. Discrete and Continuous Dynamical Systems, 2017, 37 (9) : 47854813. doi: 10.3934/dcds.2017206 
[10] 
Ivan Gentil, Bogusław Zegarlinski. Asymptotic behaviour of reversible chemical reactiondiffusion equations. Kinetic and Related Models, 2010, 3 (3) : 427444. doi: 10.3934/krm.2010.3.427 
[11] 
Robert Carlson. Spectral theory for nonconservative transmission line networks. Networks and Heterogeneous Media, 2011, 6 (2) : 257277. doi: 10.3934/nhm.2011.6.257 
[12] 
D. R. Michiel Renger, Johannes Zimmer. Orthogonality of fluxes in general nonlinear reaction networks. Discrete and Continuous Dynamical Systems  S, 2021, 14 (1) : 205217. doi: 10.3934/dcdss.2020346 
[13] 
A. C. Eberhard, JP. Crouzeix. Existence of closed graph, maximal, cyclic pseudomonotone relations and revealed preference theory. Journal of Industrial and Management Optimization, 2007, 3 (2) : 233255. doi: 10.3934/jimo.2007.3.233 
[14] 
Shuichi Jimbo, Yoshihisa Morita. Asymptotic behavior of entire solutions to reactiondiffusion equations in an infinite star graph. Discrete and Continuous Dynamical Systems, 2021, 41 (9) : 40134039. doi: 10.3934/dcds.2021026 
[15] 
Chengxia Lei, Jie Xiong, Xinhui Zhou. Qualitative analysis on an SIS epidemic reactiondiffusion model with mass action infection mechanism and spontaneous infection in a heterogeneous environment. Discrete and Continuous Dynamical Systems  B, 2020, 25 (1) : 8198. doi: 10.3934/dcdsb.2019173 
[16] 
Costică Moroşanu, Bianca Satco. Qualitative and quantitative analysis for a nonlocal and nonlinear reactiondiffusion problem with inhomogeneous Neumann boundary conditions. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022042 
[17] 
Silviu Dumitru Pavăl, Alex Vasilică, Alin Adochiei. Qualitative and quantitative analysis of a nonlinear secondorder anisotropic reactiondiffusion model of an epidemic infection spread. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022094 
[18] 
Jacek Banasiak, Adam Błoch. Telegraph systems on networks and portHamiltonians. Ⅲ. Explicit representation and longterm behaviour. Evolution Equations and Control Theory, 2022 doi: 10.3934/eect.2022016 
[19] 
Serap Ergün, Bariş Bülent Kırlar, Sırma Zeynep Alparslan Gök, GerhardWilhelm Weber. An application of crypto cloud computing in social networks by cooperative game theory. Journal of Industrial and Management Optimization, 2020, 16 (4) : 19271941. doi: 10.3934/jimo.2019036 
[20] 
Markus Musch, Ulrik Skre Fjordholm, Nils Henrik Risebro. Wellposedness theory for nonlinear scalar conservation laws on networks. Networks and Heterogeneous Media, 2022, 17 (1) : 101128. doi: 10.3934/nhm.2021025 
2020 Impact Factor: 1.213
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