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Coronavirus: Scientific insights and societal aspects

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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Ecology and evolution

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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

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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

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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

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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

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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

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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

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Growth phenomena

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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

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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

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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

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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

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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

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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

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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

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Integrability-preserving regularizations of Laplacian Growth 9

Razvan Teodorescu

Published online: 17 February 2020

DOI: https://doi.org/10.1051/mmnp/2019032

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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

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Cancer modelling

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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

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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

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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

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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

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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

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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

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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

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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

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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

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Systems with Hysteresis and Switching

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Multidimensional play operators with arbitrary BV inputs 13

Vincenzo Recupero

Published online: 12 March 2020

DOI: https://doi.org/10.1051/mmnp/2019042

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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Mathematical immunology

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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

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Reviews in mathematical modelling

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

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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

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Modelling in Ecology, Epidemiology and Evolution

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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

• Abstract
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Fluid-structure interaction

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

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Mathematical Models and Methods in Epidemiology

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

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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

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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

• Abstract
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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

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Open Access

Editorial

Editorial E1

Anne Ruimy and Vitaly Volpert

Published online: 20 January 2020

DOI: https://doi.org/10.1051/mmnp/2019047

• Abstract
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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

• Abstract
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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

• Abstract
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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

• Abstract
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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

• Abstract
• PDF (983.3 KB)
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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

• Abstract
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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

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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

• Abstract
• PDF (804.1 KB)
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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

• Abstract
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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

• Abstract
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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

• Abstract
• PDF (3.343 MB)
• References