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NHM Flyer: showing all essential information of the journal.
Networks and Heterogeneous Media (NHM) offers a strong combination of three features: Interdisciplinary character, specific focus, and deep mathematical content. Also, the journal aims to create a link between the discrete and the continuous communities, which distinguishes it from other journals with strong PDE orientation.

NHM publishes original contributions of high quality in networks, heterogeneous media and related fields. NHM is thus devoted to research work on complex media arising in mathematical, physical, engineering, socio-economical and bio-medical problems.


Note: “Most Cited” is by Cross-Ref , and “Most Downloaded” is based on available data in the new website.

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Advanced mathematical methodologies to contrast COVID-19 pandemic
Monique Chyba, Rinaldo M. Colombo, Mauro Garavello and Benedetto Piccoli
2022, 17(3) : i-ii doi: 10.3934/nhm.2022020 +[Abstract](205) +[HTML](83) +[PDF](68.77KB)
Multiscale models of Covid-19 with mutations and variants
Nicola Bellomo, Diletta Burini and Nisrine Outada
2022, 17(3) : 293-310 doi: 10.3934/nhm.2022008 +[Abstract](339) +[HTML](270) +[PDF](667.3KB)
A martingale formulation for stochastic compartmental susceptible-infected-recovered (SIR) models to analyze finite size effects in COVID-19 case studies
Xia Li, Chuntian Wang, Hao Li and Andrea L. Bertozzi
2022, 17(3) : 311-331 doi: 10.3934/nhm.2022009 +[Abstract](319) +[HTML](93) +[PDF](1130.64KB)
Mathematical analysis of a hybrid model: Impacts of individual behaviors on the spreading of an epidemic
Guillaume Cantin, Cristiana J. Silva and Arnaud Banos
2022, 17(3) : 333-357 doi: 10.3934/nhm.2022010 +[Abstract](283) +[HTML](101) +[PDF](1898.49KB)
A study of computational and conceptual complexities of compartment and agent based models
Prateek Kunwar, Oleksandr Markovichenko, Monique Chyba, Yuriy Mileyko, Alice Koniges and Thomas Lee
2022, 17(3) : 359-384 doi: 10.3934/nhm.2022011 +[Abstract](264) +[HTML](69) +[PDF](2154.01KB)
Vaccination strategies through intra—compartmental dynamics
Rinaldo M. Colombo, Francesca Marcellini and Elena Rossi
2022, 17(3) : 385-400 doi: 10.3934/nhm.2022012 +[Abstract](278) +[HTML](108) +[PDF](764.24KB)
Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties
Giulia Bertaglia, Liu Liu, Lorenzo Pareschi and Xueyu Zhu
2022, 17(3) : 401-425 doi: 10.3934/nhm.2022013 +[Abstract](275) +[HTML](104) +[PDF](1931.03KB)
A measure model for the spread of viral infections with mutations
Xiaoqian Gong and Benedetto Piccoli
2022, 17(3) : 427-442 doi: 10.3934/nhm.2022015 +[Abstract](251) +[HTML](80) +[PDF](402.63KB)
Optimization of vaccination for COVID-19 in the midst of a pandemic
Qi Luo, Ryan Weightman, Sean T. McQuade, Mateo Díaz, Emmanuel Trélat, William Barbour, Dan Work, Samitha Samaranayake and Benedetto Piccoli
2022, 17(3) : 443-466 doi: 10.3934/nhm.2022016 +[Abstract](272) +[HTML](82) +[PDF](2781.75KB)
An SIR–like kinetic model tracking individuals' viral load
Rossella Della Marca, Nadia Loy and Andrea Tosin
2022, 17(3) : 467-494 doi: 10.3934/nhm.2022017 +[Abstract](259) +[HTML](102) +[PDF](1813.16KB)
Stability analysis of microscopic models for traffic flow with lane changing
Matteo Piu and Gabriella Puppo
2022doi: 10.3934/nhm.2022006 +[Abstract](187) +[HTML](75) +[PDF](11835.17KB)
Input-output $ L^2 $-well-posedness, regularity and Lyapunov stability of string equations on networks
Dongyi Liu and Genqi Xu
2022doi: 10.3934/nhm.2022007 +[Abstract](203) +[HTML](69) +[PDF](549.23KB)
A periodic homogenization problem with defects rare at infinity
Rémi Goudey
2022doi: 10.3934/nhm.2022014 +[Abstract](242) +[HTML](68) +[PDF](649.82KB)
Modelling and numerical study of the polyatomic bitemperature Euler system
Denise Aregba-Driollet and Stéphane Brull
2022doi: 10.3934/nhm.2022018 +[Abstract](174) +[HTML](76) +[PDF](681.35KB)
An atomistic derivation of von-Kármán plate theory
Julian Braun and Bernd Schmidt
2022doi: 10.3934/nhm.2022019 +[Abstract](143) +[HTML](60) +[PDF](590.53KB)
On the local and global existence of the Hall equations with fractional Laplacian and related equations
Hantaek Bae
2022doi: 10.3934/nhm.2022021 +[Abstract](125) +[HTML](31) +[PDF](333.61KB)
On the complete aggregation of the Wigner-Lohe model for identical potentials
Seung-Yeal Ha, Gyuyoung Hwang and Dohyun Kim
2022doi: 10.3934/nhm.2022022 +[Abstract](70) +[HTML](36) +[PDF](358.78KB)
Gradient flow formulation of diffusion equations in the Wasserstein space over a Metric graph
Matthias Erbar, Dominik Forkert, Jan Maas and Delio Mugnolo
2022doi: 10.3934/nhm.2022023 +[Abstract](84) +[HTML](27) +[PDF](1335.19KB)
Martingale solutions of stochastic nonlocal cross-diffusion systems
Mostafa Bendahmane and Kenneth H. Karlsen
2022doi: 10.3934/nhm.2022024 +[Abstract](83) +[HTML](39) +[PDF](463.04KB)
Uniform stability of the Cucker–Smale and thermodynamic Cucker–Smale ensembles with singular kernels
Hyunjin Ahn
2022doi: 10.3934/nhm.2022025 +[Abstract](77) +[HTML](31) +[PDF](450.25KB)
Splitting scheme for a macroscopic crowd motion model with congestion for a two-typed population
Félicien BOURDIN
2022doi: 10.3934/nhm.2022026 +[Abstract](61) +[HTML](17) +[PDF](532.74KB)
Effect of time delay on flocking dynamics
Hyeong-Ohk Bae, Seung Yeon Cho, Jane Yoo and Seok-Bae Yun
2022doi: 10.3934/nhm.2022027 +[Abstract](68) +[HTML](29) +[PDF](10075.33KB)
Smooth Transonic Flows Around Cones
Wen-Ching Lien, Yu-Yu Liu and Chen-Chang Peng
2022doi: 10.3934/nhm.2022028 +[Abstract](66) +[HTML](15) +[PDF](696.31KB)
Mathematical modelling of cancer invasion of tissue: dynamic heterogeneity
M.A.J Chaplain and G. Lolas
2006, 1(3) : 399-439 doi: 10.3934/nhm.2006.1.399 +[Abstract](6523) +[PDF](993.7KB) Cited By(123)
Gas flow in pipeline networks
Mapundi K. Banda, Michael Herty and Axel Klar
2006, 1(1) : 41-56 doi: 10.3934/nhm.2006.1.41 +[Abstract](5771) +[PDF](3881.2KB) Cited By(108)
Distributed model predictive control of irrigation canals
Rudy R. Negenborn, Peter-Jules van Overloop, Tamás Keviczky and Bart De Schutter
2009, 4(2) : 359-380 doi: 10.3934/nhm.2009.4.359 +[Abstract](5430) +[PDF](281.3KB) Cited By(98)
Spreading speed revisited: Analysis of a free boundary model
Gary Bunting, Yihong Du and Krzysztof Krakowski
2012, 7(4) : 583-603 doi: 10.3934/nhm.2012.7.583 +[Abstract](5912) +[PDF](737.9KB) Cited By(93)
Coupling conditions for gas networks governed by the isothermal Euler equations
Mapundi K. Banda, Michael Herty and Axel Klar
2006, 1(2) : 295-314 doi: 10.3934/nhm.2006.1.295 +[Abstract](4722) +[PDF](1720.1KB) Cited By(87)
Explicit solutions of some linear-quadratic mean field games
Martino Bardi
2012, 7(2) : 243-261 doi: 10.3934/nhm.2012.7.243 +[Abstract](5886) +[PDF](433.5KB) Cited By(75)
Stabilization of the wave equation on 1-d networks with a delay term in the nodal feedbacks
Serge Nicaise and Julie Valein
2007, 2(3) : 425-479 doi: 10.3934/nhm.2007.2.425 +[Abstract](4409) +[PDF](509.3KB) Cited By(73)
Long time average of mean field games
Pierre Cardaliaguet, Jean-Michel Lasry, Pierre-Louis Lions and Alessio Porretta
2012, 7(2) : 279-301 doi: 10.3934/nhm.2012.7.279 +[Abstract](4791) +[PDF](429.4KB) Cited By(72)
On the variational theory of traffic flow: well-posedness, duality and applications
Carlos F. Daganzo
2006, 1(4) : 601-619 doi: 10.3934/nhm.2006.1.601 +[Abstract](5823) +[PDF](337.5KB) Cited By(70)
Large time behavior of nonlocal aggregation models with nonlinear diffusion
Martin Burger and Marco Di Francesco
2008, 3(4) : 749-785 doi: 10.3934/nhm.2008.3.749 +[Abstract](5095) +[PDF](412.0KB) Cited By(59)
Deep neural network approach to forward-inverse problems
Hyeontae Jo, Hwijae Son, Hyung Ju Hwang and Eun Heui Kim
2020, 15(2) : 247-259 doi: 10.3934/nhm.2020011 +[Abstract](3239) +[HTML](212) +[PDF](5577.21KB) PDF Downloads(1429)
Qualitative analysis of some PDE models of traffic flow
Tong Li
2013, 8(3) : 773-781 doi: 10.3934/nhm.2013.8.773 +[Abstract](4282) +[PDF](351.1KB) PDF Downloads(1272)
Modeling, simulation and optimization of gas networks with compressors
Michael Herty
2007, 2(1) : 81-97 doi: 10.3934/nhm.2007.2.81 +[Abstract](3970) +[PDF](1489.0KB) PDF Downloads(1223)
Derivation of second order traffic flow models with time delays
Michael Burger, Simone Göttlich and Thomas Jung
2019, 14(2) : 265-288 doi: 10.3934/nhm.2019011 +[Abstract](4162) +[HTML](494) +[PDF](1337.56KB) PDF Downloads(788)
Force-based models of pedestrian dynamics
Mohcine Chraibi, Ulrich Kemloh, Andreas Schadschneider and Armin Seyfried
2011, 6(3) : 425-442 doi: 10.3934/nhm.2011.6.425 +[Abstract](7178) +[PDF](729.9KB) PDF Downloads(763)
Community detection in multiplex networks: A seed-centric approach
Manel Hmimida and Rushed Kanawati
2015, 10(1) : 71-85 doi: 10.3934/nhm.2015.10.71 +[Abstract](5105) +[PDF](709.4KB) PDF Downloads(712)
Link prediction in multiplex networks
Manisha Pujari and Rushed Kanawati
2015, 10(1) : 17-35 doi: 10.3934/nhm.2015.10.17 +[Abstract](5864) +[PDF](993.6KB) PDF Downloads(690)
A Godunov type scheme for a class of LWR traffic flow models with non-local flux
Jan Friedrich, Oliver Kolb and Simone Göttlich
2018, 13(4) : 531-547 doi: 10.3934/nhm.2018024 +[Abstract](6688) +[HTML](538) +[PDF](497.72KB) PDF Downloads(681)
SIR Rumor spreading model with trust rate distribution
Bum Il Hong, Nahmwoo Hahm and Sun-Ho Choi
2018, 13(3) : 515-530 doi: 10.3934/nhm.2018023 +[Abstract](7360) +[HTML](260) +[PDF](494.64KB) PDF Downloads(639)
Efficient numerical methods for gas network modeling and simulation
Yue Qiu, Sara Grundel, Martin Stoll and Peter Benner
2020, 15(4) : 653-679 doi: 10.3934/nhm.2020018 +[Abstract](1870) +[HTML](254) +[PDF](1245.47KB) PDF Downloads(611)

2021 Impact Factor: 1.41
5 Year Impact Factor: 1.296
2021 CiteScore: 2.2

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