Mathematical Modelling of Natural Phenomena

Open Access

Coronavirus – Scientific insights and societal aspects

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

Open Access

Mathematical Modelling in the era of coronavirus (Six month in a new reality)

Vitaly Volpert

Published online: 13 July 2020

DOI: https://doi.org/10.1051/mmnp/2020027

Open Access

On a quarantine model of coronavirus infection and data analysis

Vitaly Volpert, Malay Banerjee and Sergei Petrovskii

Published online: 25 March 2020

DOI: https://doi.org/10.1051/mmnp/2020006

Open Access

Immuno-epidemiological model of two-stage epidemic growth

Malay Banerjee, Alexey Tokarev and Vitaly Volpert

Published online: 21 April 2020

DOI: https://doi.org/10.1051/mmnp/2020012

Open Access

Dynamics of COVID-19 pandemic at constant and time-dependent contact rates

Marek Kochańczyk, Frederic Grabowski and Tomasz Lipniacki

Published online: 21 April 2020

DOI: https://doi.org/10.1051/mmnp/2020011

Open Access

Un modèle mathématique des débuts de l’épidémie de coronavirus en France

Nicolas Bacaër

Published online: 05 May 2020

DOI: https://doi.org/10.1051/mmnp/2020015

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

Anass Bouchnita and Aissam Jebrane

Published online: 14 May 2020

DOI: https://doi.org/10.1051/mmnp/2020016

Open Access

COVID-19 basic reproduction number and assessment of initial suppression policies in Costa Rica

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

Open Access

Mathematical modelling for coronavirus disease (COVID-19) in predicting future behaviours and sensitivity analysis

Sarbaz H. A. Khoshnaw, Rizgar H. Salih and Sadegh Sulaimany

Published online: 28 May 2020

DOI: https://doi.org/10.1051/mmnp/2020020

Open Access

Accounting for Symptomatic and Asymptomatic in a SEIR-type model of COVID-19

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

Open Access

Contact rate epidemic control of COVID-19: an equilibrium view

Romuald Elie, Emma Hubert and Gabriel Turinici

Published online: 19 June 2020

DOI: https://doi.org/10.1051/mmnp/2020022

Open Access

Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model

Jean Dolbeault and Gabriel Turinici

Published online: 14 July 2020

DOI: https://doi.org/10.1051/mmnp/2020025

Open Access

Prediction of confinement effects on the number of Covid-19 outbreak in Algeria

Ali Moussaoui and Pierre Auger

Published online: 17 July 2020

DOI: https://doi.org/10.1051/mmnp/2020028

Open Access

Analysis of the age-structured epidemiological characteristics of SARS-COV-2 transmission in mainland China: An aggregated approach

Junyuan Yang, Guoqiang Wang, Shuo Zhang, Fei Xu and Xuezhi Li

Published online: 17 August 2020

DOI: https://doi.org/10.1051/mmnp/2020032

Open Access

Lifting the COVID-19 lockdown: different scenarios for France

Emmanuelle Augeraud-Véron

Published online: 17 August 2020

DOI: https://doi.org/10.1051/mmnp/2020031

Open Access

Optimal control techniques based on infection age for the study of the COVID-19 epidemic

J. Frédéric Bonnans and Justina Gianatti

Published online: 14 October 2020

DOI: https://doi.org/10.1051/mmnp/2020035

Open Access

A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy

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

Open Access

COVID-19 pandemic control: balancing detection policy and lockdown intervention under ICU sustainability

Arthur Charpentier, Romuald Elie, Mathieu Laurière and Viet Chi Tran

Published online: 30 November 2020

DOI: https://doi.org/10.1051/mmnp/2020045

Open Access

Inferring key epidemiological parameters and transmission dynamics of COVID-19 based on a modified SEIR model

Xiaoyan Wang, Tianjiao Tang, Lang Cao, Kazuyuki Aihara and Qian Guo

Published online: 10 December 2020

DOI: https://doi.org/10.1051/mmnp/2020050

Open Access

A discrete epidemic model and a zigzag strategy for curbing the Covid-19 outbreak and for lifting the lockdown

Tahar Z. Boulmezaoud

Published online: 15 December 2020

DOI: https://doi.org/10.1051/mmnp/2020043

Open Access

SIARD model and effect of lockdown on the dynamics of COVID-19 disease with non total immunity

M.A. Aziz-Alaoui, F. Najm and R. Yafia

Published online: 02 June 2021

DOI: https://doi.org/10.1051/mmnp/2021025

Open Access

A new approach to the dynamic modeling of an infectious disease

B. Shayak and Mohit M. Sharma

Published online: 04 June 2021

DOI: https://doi.org/10.1051/mmnp/2021026

Open Access

A mathematical assessment of the efficiency of quarantining and contact tracing in curbing the COVID-19 epidemic

Amaury Lambert

Published online: 05 October 2021

DOI: https://doi.org/10.1051/mmnp/2021042

Open Access

Efficient Uncertainty Quantification and Variance-Based Sensitivity Analysis in Epidemic Modelling Using Polynomial Chaos

Bjørn C.S. Jensen, Allan P. Engsig-Karup and Kim Knudsen

Published online: 20 May 2022

DOI: https://doi.org/10.1051/mmnp/2022014

Open Access

Immuno-Epidemiological Model-Based Prediction of Further Covid-19 Epidemic Outbreaks Due to Immunity Waning

Samiran Ghosh, Malay Banerjee and Vitaly Volpert

Published online: 20 May 2022

DOI: https://doi.org/10.1051/mmnp/2022017

Open Access

Quantifying the Effects of Non-Pharmaceutical and Pharmaceutical Interventions Against Covid-19 Epidemic in the Republic of Korea: Mathematical Model-Based Approach Considering Age Groups and the Delta Variant

Youngsuk Ko, Victoria May P. Mendoza, Yubin Seo, Jacob Lee, Yeonju Kim, Donghyok Kwon and Eunok Jung

Published online: 09 September 2022

DOI: https://doi.org/10.1051/mmnp/2022024

Mathematical Modelling of Natural Phenomena

Coronavirus: Scientific insights and societal aspects