Open Access Coronavirus – Scientific insights and societal aspects E2 Vitaly Volpert, Malay Banerjee, Alberto d’Onofrio, Tomasz Lipniacki, Sergei Petrovskii and Viet Chi Tran Published online: 20 April 2020 DOI: https://doi.org/10.1051/mmnp/2020010 Full HTMLPDF (264.2 KB)ePUB (794.9 KB)References
Open Access Mathematical Modelling in the era of coronavirus (Six month in a new reality) E3 Vitaly Volpert Published online: 13 July 2020 DOI: https://doi.org/10.1051/mmnp/2020027 Full HTMLPDF (113.7 KB)ePUB (789.8 KB)
Open Access On a quarantine model of coronavirus infection and data analysis 24 Vitaly Volpert, Malay Banerjee and Sergei Petrovskii Published online: 25 March 2020 DOI: https://doi.org/10.1051/mmnp/2020006 Full HTMLPDF (335.5 KB)ePUB (1.160 MB)References
Open Access Immuno-epidemiological model of two-stage epidemic growth 27 Malay Banerjee, Alexey Tokarev and Vitaly Volpert Published online: 21 April 2020 DOI: https://doi.org/10.1051/mmnp/2020012 Full HTMLPDF (685.3 KB)ePUB (1.346 MB)References
Open Access Dynamics of COVID-19 pandemic at constant and time-dependent contact rates 28 Marek Kochańczyk, Frederic Grabowski and Tomasz Lipniacki Published online: 21 April 2020 DOI: https://doi.org/10.1051/mmnp/2020011 Full HTMLPDF (963.7 KB)ePUB (1.949 MB)References
Open Access Un modèle mathématique des débuts de l’épidémie de coronavirus en France 29 Nicolas Bacaër Published online: 05 May 2020 DOI: https://doi.org/10.1051/mmnp/2020015 Full HTMLPDF (660.7 KB)ePUB (1.242 MB)References
Open Access A multi-scale model quantifies the impact of limited movement of the population and mandatory wearing of face masks in containing the COVID-19 epidemic in Morocco 31 Anass Bouchnita and Aissam Jebrane Published online: 14 May 2020 DOI: https://doi.org/10.1051/mmnp/2020016 Full HTMLPDF (978.1 KB)ePUB (2.326 MB)References
Open Access COVID-19 basic reproduction number and assessment of initial suppression policies in Costa Rica 32 Luis Fernando Chaves, Lisbeth A. Hurtado, Melissa Ramírez Rojas, Mariel D. Friberg, Rodrigo Marín Rodríguez and María L. Avila-Aguero Published online: 18 May 2020 DOI: https://doi.org/10.1051/mmnp/2020019 Full HTMLPDF (1.325 MB)ePUB (1.659 MB)References
Open Access Mathematical modelling for coronavirus disease (COVID-19) in predicting future behaviours and sensitivity analysis 33 Sarbaz H. A. Khoshnaw, Rizgar H. Salih and Sadegh Sulaimany Published online: 28 May 2020 DOI: https://doi.org/10.1051/mmnp/2020020 Full HTMLPDF (1.716 MB)ePUB (3.343 MB)References
Open Access Accounting for Symptomatic and Asymptomatic in a SEIR-type model of COVID-19 34 Jayrold P. Arcede, Randy L. Caga-anan, Cheryl Q. Mentuda and Youcef Mammeri Published online: 19 June 2020 DOI: https://doi.org/10.1051/mmnp/2020021 Full HTMLPDF (1.495 MB)ePUB (2.063 MB)References
Open Access Contact rate epidemic control of COVID-19: an equilibrium view 35 Romuald Elie, Emma Hubert and Gabriel Turinici Published online: 19 June 2020 DOI: https://doi.org/10.1051/mmnp/2020022 Full HTMLPDF (1.355 MB)ePUB (3.634 MB)ReferencesSupplementary Material
Open Access Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model 36 Jean Dolbeault and Gabriel Turinici Published online: 14 July 2020 DOI: https://doi.org/10.1051/mmnp/2020025 Full HTMLPDF (869.6 KB)ePUB (1.572 MB)References
Open Access Prediction of confinement effects on the number of Covid-19 outbreak in Algeria 37 Ali Moussaoui and Pierre Auger Published online: 17 July 2020 DOI: https://doi.org/10.1051/mmnp/2020028 Full HTMLPDF (925.6 KB)ePUB (2.165 MB)References
Open Access Analysis of the age-structured epidemiological characteristics of SARS-COV-2 transmission in mainland China: An aggregated approach 39 Junyuan Yang, Guoqiang Wang, Shuo Zhang, Fei Xu and Xuezhi Li Published online: 17 August 2020 DOI: https://doi.org/10.1051/mmnp/2020032 Full HTMLPDF (622.8 KB)ePUB (1.477 MB)References
Open Access Lifting the COVID-19 lockdown: different scenarios for France 40 Emmanuelle Augeraud-Véron Published online: 17 August 2020 DOI: https://doi.org/10.1051/mmnp/2020031 Full HTMLPDF (1.143 MB)ePUB (1.857 MB)References
Open Access Optimal control techniques based on infection age for the study of the COVID-19 epidemic 48 J. Frédéric Bonnans and Justina Gianatti Published online: 14 October 2020 DOI: https://doi.org/10.1051/mmnp/2020035 Full HTMLPDF (1.735 MB)ePUB (2.365 MB)References
Open Access A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy 50 Houssine Zine, Adnane Boukhouima, El Mehdi Lotfi, Marouane Mahrouf, Delfim F.M. Torres and Noura Yousfi Published online: 11 November 2020 DOI: https://doi.org/10.1051/mmnp/2020040 Full HTMLPDF (708.1 KB)ePUB (1.938 MB)References
Open Access COVID-19 pandemic control: balancing detection policy and lockdown intervention under ICU sustainability 57 Arthur Charpentier, Romuald Elie, Mathieu Laurière and Viet Chi Tran Published online: 30 November 2020 DOI: https://doi.org/10.1051/mmnp/2020045 Full HTMLPDF (3.762 MB)ePUB (6.116 MB)References
Open Access Inferring key epidemiological parameters and transmission dynamics of COVID-19 based on a modified SEIR model 74 Xiaoyan Wang, Tianjiao Tang, Lang Cao, Kazuyuki Aihara and Qian Guo Published online: 10 December 2020 DOI: https://doi.org/10.1051/mmnp/2020050 Full HTMLPDF (1015 KB)ePUB (1.515 MB)References
Open Access A discrete epidemic model and a zigzag strategy for curbing the Covid-19 outbreak and for lifting the lockdown 75 Tahar Z. Boulmezaoud Published online: 15 December 2020 DOI: https://doi.org/10.1051/mmnp/2020043 Full HTMLPDF (4.858 MB)ePUB (6.045 MB)References
Free Access Theory of optimal harvesting for a size structured model of fish 1 Rong Liu and Guirong Liu Published online: 24 January 2020 DOI: https://doi.org/10.1051/mmnp/2019006 PDF (1.349 MB)References
Open Access Fractional order prey-predator model with infected predators in the presence of competition and toxicity 38 M. R. Lemnaouar, M. Khalfaoui, Y. Louartassi and I. Tolaimate Published online: 14 August 2020 DOI: https://doi.org/10.1051/mmnp/2020002 PDF (959.1 KB)References
Open Access Extinction and ergodic stationary distribution of a Markovian-switching prey-predator model with additional food for predator 46 Xiaoxia Guo and Dehan Ruan Published online: 24 September 2020 DOI: https://doi.org/10.1051/mmnp/2019055 PDF (1.012 MB)References
Open Access Erratum Erratum to the paper “Extinction and ergodic stationary distribution of a Markovian-switching prey-predator model with additional food for predator” 56 Xiaoxia Guo and Dehao Ruan Published online: 19 November 2020 DOI: https://doi.org/10.1051/mmnp/2020037 PDF (215.3 KB)
Open Access A class of discrete predator–prey interaction with bifurcation analysis and chaos control 60 Qamar Din, Nafeesa Saleem and Muhammad Sajjad Shabbir Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020042 PDF (7.473 MB)References
Open Access Modeling the dynamics of Wolbachia-infected and uninfected Aedes aegypti populations by delay differential equations 76 A.S. Benedito, C.P. Ferreira and M. Adimy Published online: 15 December 2020 DOI: https://doi.org/10.1051/mmnp/2020041 PDF (946.3 KB)References
Free Access Viscous fingering in the presence of weak disorder 2 Eldad Bettelheim and Oded Agam Published online: 24 January 2020 DOI: https://doi.org/10.1051/mmnp/2018055 PDF (613.8 KB)References
Free Access Review On integrability and exact solvability in deterministic and stochastic Laplacian growth 3 Igor Loutsenko and Oksana Yermolayeva Published online: 14 February 2020 DOI: https://doi.org/10.1051/mmnp/2019033 PDF (766.4 KB)References
Free Access On the shape of invading population in anisotropic environments 4 Viktoria Blavatska Published online: 14 February 2020 DOI: https://doi.org/10.1051/mmnp/2019046 PDF (567.5 KB)References
Free Access Finite term relations for the exponential orthogonal polynomials 5 Björn Gustafsson and Mihai Putinar Published online: 14 February 2020 DOI: https://doi.org/10.1051/mmnp/2019025 PDF (431.3 KB)References
Free Access On mathematical modelling of temporal spatial spread of epidemics 6 Kh.A. Khachatryan, A.Zh. Narimanyan and A.Kh. Khachatryan Published online: 17 February 2020 DOI: https://doi.org/10.1051/mmnp/2019056 PDF (878.0 KB)References
Free Access Review Growth in the Muskat problem 7 Rafael Granero-Belinchón and Omar Lazar Published online: 17 February 2020 DOI: https://doi.org/10.1051/mmnp/2019021 PDF (471.8 KB)References
Free Access Phase transitions in nematics: textures with tactoids and disclinations 8 Dmitry Golovaty, Young-Ki Kim, Oleg D. Lavrentovich, Michael Novack and Peter Sternberg Published online: 17 February 2020 DOI: https://doi.org/10.1051/mmnp/2019034 PDF (1.583 MB)References
Free Access Integrability-preserving regularizations of Laplacian Growth 9 Razvan Teodorescu Published online: 17 February 2020 DOI: https://doi.org/10.1051/mmnp/2019032 PDF (446.5 KB)References
Free Access A mathematical model of solid-state dewetting of barium thin films on W(112) 12 S.A. Knavel, T.V. Savina, M.V. Mroz, M.E. Kordesch, C.N. Eads, J.T. Sadowski and S.A. Tenney Published online: 06 March 2020 DOI: https://doi.org/10.1051/mmnp/2019040 PDF (1.190 MB)References
Free Access Tumor width on T1-weighted MRI images of glioblastoma as a prognostic biomarker: a mathematical model 10 Julián Pérez-Beteta, Juan Belmonte-Beitia and Víctor M. Pérez-García Published online: 28 February 2020 DOI: https://doi.org/10.1051/mmnp/2019022 PDF (1.110 MB)References
Open Access Numerical modelling challenges for clinical electroporation ablation technique of liver tumors 11 Olivier Gallinato, Baudouin Denis de Senneville, Olivier Seror and Clair Poignard Published online: 28 February 2020 DOI: https://doi.org/10.1051/mmnp/2019037 PDF (1.574 MB)References
Free Access Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy 14 Rebecca E.A. Stace, Thomas Stiehl, Mark A.J. Chaplain, Anna Marciniak-Czochra and Tommaso Lorenzi Published online: 12 March 2020 DOI: https://doi.org/10.1051/mmnp/2019027 PDF (1.084 MB)References
Free Access Efficiency of cancer treatments: in silico experiments 19 Elena Piretto, Marcello Delitala and Mario Ferraro Published online: 12 March 2020 DOI: https://doi.org/10.1051/mmnp/2019031 PDF (1.067 MB)References
Free Access A three phase model to investigate the effects of dead material on the growth of avascular tumours 22 Thomas D. Lewin, Philip K. Maini, Eduardo G. Moros, Heiko Enderling and Helen M. Byrne Published online: 18 March 2020 DOI: https://doi.org/10.1051/mmnp/2019039 PDF (2.702 MB)References
Open Access The impact of competition between cancer cells and healthy cells on optimal drug delivery 42 Heyrim Cho and Doron Levy Published online: 22 September 2020 DOI: https://doi.org/10.1051/mmnp/2019043 PDF (4.729 MB)References
Open Access Effects of delayed immune-activation in the dynamics of tumor-immune interactions 45 Parthasakha Das, Pritha Das and Samhita Das Published online: 24 September 2020 DOI: https://doi.org/10.1051/mmnp/2020001 PDF (4.957 MB)References
Open Access Microtubules (MT) a key target in oncology: mathematical modeling of anti-MT agents on cell migration 63 Emilie Denicolai, Stéphane Honoré, Florence Hubert and Rémi Tesson Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020004 PDF (1.215 MB)References
Open Access Optimal control for a mathematical model for chemotherapy with pharmacometrics 69 Maciej Leszczyński, Urszula Ledzewicz and Heinz Schättler Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020008 PDF (930.7 KB)References
Free Access Multidimensional play operators with arbitrary BV inputs 13 Vincenzo Recupero Published online: 12 March 2020 DOI: https://doi.org/10.1051/mmnp/2019042 PDF (484.4 KB)References
Free Access Invariant measures for interval translations and some other piecewise continuous maps 15 Sergey Kryzhevich Published online: 12 March 2020 DOI: https://doi.org/10.1051/mmnp/2019041 PDF (375.8 KB)References
Free Access On a two-point boundary value problem for the 2-D Navier-Stokes equations arising from capillary effect 17 Bhagya Athukorallage and Ram Iyer Published online: 12 March 2020 DOI: https://doi.org/10.1051/mmnp/2019028 PDF (667.8 KB)References
Free Access Hysteretic behavior of spatially coupled phase-oscillators 18 Eszter Fehér, Balázs Havasi-Tóth and Tamás Kalmár-Nagy Published online: 12 March 2020 DOI: https://doi.org/10.1051/mmnp/2019029 PDF (1.341 MB)References
Free Access Preisach based storage devices and global optimizers 20 Isaak D. Mayergoyz and Can E. Korman Published online: 12 March 2020 DOI: https://doi.org/10.1051/mmnp/2019051 PDF (801.4 KB)References
Open Access One-period stability analysis of polygonal sweeping processes with application to an elastoplastic model 25 Ivan Gudoshnikov, Mikhail Kamenskii, Oleg Makarenkov and Natalia Voskovskaia Published online: 10 April 2020 DOI: https://doi.org/10.1051/mmnp/2019030 PDF (657.4 KB)References
Open Access On hysteresis of ion channels 26 Can E. Korman and Isaak D. Mayergoyz Published online: 10 April 2020 DOI: https://doi.org/10.1051/mmnp/2019058 PDF (1.501 MB)References
Open Access Fatigue and phase transition in an oscillating elastoplastic beam 41 Michela Eleuteri, Chiara Gavioli and Jana Kopfová Published online: 22 September 2020 DOI: https://doi.org/10.1051/mmnp/2019052 PDF (472.7 KB)References
Open Access Efficiency of hysteretic damper in oscillating systems 43 M.E. Semenov, Andrey M. Solovyov, Peter A. Meleshenko and Olga O. Reshetova Published online: 24 September 2020 DOI: https://doi.org/10.1051/mmnp/2019053 PDF (2.524 MB)References
Open Access Temporal cavity solitons in a delayed model of a dispersive cavity ring laser 47 Alexander Pimenov, Shalva Amiranashvili and Andrei G. Vladimirov Published online: 24 September 2020 DOI: https://doi.org/10.1051/mmnp/2019054 PDF (1.288 MB)References
Open Access The global stability of a class of history-dependent macroeconomic models 49 Harbir Lamba, Pavel Krejčí and Dmitrii Rachinskii Published online: 11 November 2020 DOI: https://doi.org/10.1051/mmnp/2019061 PDF (524.4 KB)References
Open Access Newton and Bouligand derivatives of the scalar play and stop operator 51 Martin Brokate Published online: 11 November 2020 DOI: https://doi.org/10.1051/mmnp/2020013 PDF (549.8 KB)References
Open Access On stability of linear dynamic systems with hysteresis feedback 52 Michael Ruderman Published online: 11 November 2020 DOI: https://doi.org/10.1051/mmnp/2020014 PDF (2.363 MB)References
Open Access On forward and inverse uncertainty quantification for models involving hysteresis operators 53 Olaf Klein, Daniele Davino and Ciro Visone Published online: 17 November 2020 DOI: https://doi.org/10.1051/mmnp/2020009 PDF (1.416 MB)References
Open Access Hysteresis and controllability of affine driftless systems: some case studies 55 Fabio Bagagiolo and Marta Zoppello Published online: 19 November 2020 DOI: https://doi.org/10.1051/mmnp/2020023 PDF (951.2 KB)References
Free Access Hopf bifurcation of an HIV-1 virus model with two delays and logistic growth 16 Caixia Sun, Lele Li and Jianwen Jia Published online: 12 March 2020 DOI: https://doi.org/10.1051/mmnp/2019038 PDF (1.423 MB)References
Open Access Hybrid data-based modelling in oncology: successes, challenges and hopes 21 Angélique Stéphanou, Pascal Ballet and Gibin Powathil Published online: 12 March 2020 DOI: https://doi.org/10.1051/mmnp/2019026 PDF (405.7 KB)References
Open Access Studying Lump solutions, Rogue wave solutions and dynamical interaction for new model generating from lax pair 67 M. K. Elboree Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020029 PDF (1.690 MB)References
Free Access Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping 23 Fethi Souna, Salih Djilali and Fayssal Charif Published online: 18 March 2020 DOI: https://doi.org/10.1051/mmnp/2019044 PDF (1.295 MB)References
Open Access Large deflections of inextensible cantilevers: modeling, theory, and simulation 44 Maria Deliyianni, Varun Gudibanda, Jason Howell and Justin T. Webster Published online: 24 September 2020 DOI: https://doi.org/10.1051/mmnp/2020033 PDF (1.890 MB)References
Open Access Global stability in a competitive infection-age structured model 54 Quentin Richard Published online: 19 November 2020 DOI: https://doi.org/10.1051/mmnp/2020007 PDF (1.035 MB)References
Open Access Control of Nipah virus outbreak in commercial pig-farm with biosecurity and culling 64 Samhita Das, Pritha Das and Parthasakha Das Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020047 PDF (2.235 MB)References
Open Access Modeling the effect of temperature variability on malaria control strategies 65 Salisu M. Garba and Usman A. Danbaba Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020044 PDF (3.002 MB)References
Open Access Analysis and simulations with a multi-scale model of canine visceral leishmaniasis 72 Jonathan Shane Welker and Maia Martcheva Published online: 04 December 2020 DOI: https://doi.org/10.1051/mmnp/2020026 PDF (1.363 MB)References
Open Access Editorial Editorial E1 Anne Ruimy and Vitaly Volpert Published online: 20 January 2020 DOI: https://doi.org/10.1051/mmnp/2019047 PDF (159.8 KB)
Open Access On "Big (Wo)men, Tyrants, Chiefs, Dictators, Emperors and Presidents" by Francesco dell’Isola 30 Ingo Mueller Published online: 07 May 2020 DOI: https://doi.org/10.1051/mmnp/2020003 PDF (515.7 KB)
Open Access Active control of an improved Boussinesq system 58 Kenan Yildirim Published online: 26 November 2020 DOI: https://doi.org/10.1051/mmnp/2020024 PDF (524.5 KB)References
Open Access A theoretical connection between the Noisy Leaky integrate-and-fire and the escape rate models: The non-autonomous case 59 Grégory Dumont, Jacques Henry and Carmen Oana Tarniceriu Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020017 PDF (1.234 MB)References
Open Access Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation 61 K. Hosseini, M. Mirzazadeh, M. Aligoli, M. Eslami and J.G. Liu Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020018 PDF (983.3 KB)References
Open Access Dynamics of a three species ratio-dependent food chain model with diffusion and double free boundaries 62 Dawei Zhang, Beiping Duan and Binxiang Dai Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020034 PDF (710.2 KB)References
Open Access Spectrum of the M5-traveling waves 66 Salvador Cruz-García Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020039 PDF (518.0 KB)References
Open Access Mathematical analysis and global dynamics for a time-delayed Chronic Myeloid Leukemia model with treatment 68 Nawal Kherbouche, Mohamed Helal, Abdennasser Chekroun and Abdelkader Lakmeche Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020038 PDF (804.1 KB)References
Open Access Integrability of stochastic birth-death processes via differential Galois theory 70 Primitivo B. Acosta-Humánez, José A. Capitán and Juan J. Morales-Ruiz Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020005 PDF (531.0 KB)References
Open Access On the maximization problem for solutions of reaction–diffusion equations with respect to their initial data 71 Grégoire Nadin and Ana Isis Toledo Marrero Published online: 03 December 2020 DOI: https://doi.org/10.1051/mmnp/2020030 PDF (772.5 KB)References
Open Access Gas effect for oblique and conical shock waves at high temperature 73 Toufik Yahiaoui, Toufik Zebbiche, Abderrazak Allali and Mohamed Boun-jad Published online: 04 December 2020 DOI: https://doi.org/10.1051/mmnp/2020036 PDF (3.343 MB)References