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Mathematical Modelling of Natural Phenomena

Volume 18 (2023) (in progress)

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Open Access

Editorial

Editorial E1

Anne Ruimy and Vitaly Volpert

Published online: 06 January 2023

DOI: https://doi.org/10.1051/mmnp/2022036

PDF (272.6 KB)

Open Access

Editorial

MMNP – Next Generation E2

Vitaly Volpert

Published online: 31 July 2023

DOI: https://doi.org/10.1051/mmnp/2023017

PDF (186.7 KB)

Open Access

Editorial

Publisher’s Note E3

Anne Ruimy and Amandine Véber

Published online: 02 August 2023

DOI: https://doi.org/10.1051/mmnp/2023020

PDF (4.082 MB)

Physics

Open Access

Models of recrystallization activated by a diffusion flow of impurities from a thin-film coating with a convection term at the crystal surface: exact solutions 1

Sergey Savotchenko and Aleksei Cherniakov

Published online: 06 January 2023

DOI: https://doi.org/10.1051/mmnp/2022046

Open Access

An analysis of the buoyancy and drag parameters in Rayleigh-Taylor dynamics 29

Des Hill and Snezhana Abarzhi

Published online: 26 October 2023

DOI: https://doi.org/10.1051/mmnp/2023027

Open Access

Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformation and solitons 30

Yuan Shen, Bo Tian, Tian-Yu Zhou and Chong-Dong Cheng

Published online: 08 November 2023

DOI: https://doi.org/10.1051/mmnp/2023029

Open Access

On the dynamics of rotating rigid tube and its interaction with air 31

Yifan Liu

Published online: 13 November 2023

DOI: https://doi.org/10.1051/mmnp/2023035

Mathematical methods

Open Access

Epicenter of random epidemic spanning trees on finite graphs 2

Daniel R. Figueiredo and Giulio Iacobelli

Published online: 19 January 2023

DOI: https://doi.org/10.1051/mmnp/2022048

Open Access

Decay in full von Kármán beam with temperature and microtemperatures effects 3

Moncef Aouadi and Souad Guerine

Published online: 15 February 2023

DOI: https://doi.org/10.1051/mmnp/2023002

Open Access

Traveling solutions for a multi-anticipative car-following traffic model 7

N. El Khatib, A. Ghorbel, A. Joumaa and M. Zaydan

Published online: 10 March 2023

DOI: https://doi.org/10.1051/mmnp/2023006

Open Access

On a dynamical model of happiness 10

Eduardo Liz and Sergei Trofimchuk

Published online: 23 March 2023

DOI: https://doi.org/10.1051/mmnp/2023008

Open Access

Pressure boundary conditions for viscous flows in thin tube structures: Stokes equations with locally distributed Brinkman term 17

Grigory Panasenko and Konstantinas Pileckas

Published online: 01 August 2023

DOI: https://doi.org/10.1051/mmnp/2023016

Open Access

Review

An overview of differential models for corrosion of cultural heritage artefacts 27

G. Frasca-Caccia, C. Valentino, F. Colace and D. Conte

Published online: 17 October 2023

DOI: https://doi.org/10.1051/mmnp/2023031

Open Access

Thermodynamical Modeling of Multiphase Flow System with Surface Tension and Flow 32

Hajime Koba

Published online: 30 November 2023

DOI: https://doi.org/10.1051/mmnp/2023036

Population dynamics and epidemiology

Open Access

The Effect of Connecting Sites in the Environment of a Harvested Population 4

Rafael Bravo de la Parra, Jean-Christophe Poggiale and Pierre Auger

Published online: 27 February 2023

DOI: https://doi.org/10.1051/mmnp/2023004

Open Access

Forecast analysis and sliding mode control on a stochastic epidemic model with alertness and vaccination 5

Yue Zhang and Xiju Wu

Published online: 03 March 2023

DOI: https://doi.org/10.1051/mmnp/2023003

Open Access

Threshold behavior of an age-structured tumor immune model 6

Zhonghu Luo, Zijian Liu, Yuanshun Tan, Jin Yang and Huanhuan Qiu

Published online: 10 March 2023

DOI: https://doi.org/10.1051/mmnp/2023001

Open Access

Analysis of dynamic evolution process of the N-player division of labor game model 12

Hairui Yuan, Xinzhu Meng and Abdullah Khames Alzahrani

Published online: 28 April 2023

DOI: https://doi.org/10.1051/mmnp/2023013

Open Access

Qualitative analysis for a diffusive predator-prey model with hunting cooperation and holling type III functional response 13

Ibtissam Benamara, Abderrahim El Abdllaoui, Radouane Yafia and Hemen Dutta

Published online: 28 April 2023

DOI: https://doi.org/10.1051/mmnp/2023010

Open Access

Output trajectory controllability of a discrete-time sir epidemic model 16

Lahbib Benahmadi, Mustapha Lhous, Abdessamad TRIDANE and Mostafa Rachik

Published online: 16 June 2023

DOI: https://doi.org/10.1051/mmnp/2023015

Open Access

Adaptation of an asexual population with environmental changes 20

Florian Lavigne

Published online: 18 August 2023

DOI: https://doi.org/10.1051/mmnp/2023024

Open Access

A Minimal Model Coupling Communicable and Non-Communicable Diseases 23

M. Marvá, E. Venturino and M.C. Vera

Published online: 15 September 2023

DOI: https://doi.org/10.1051/mmnp/2023026

Open Access

Within-host evolutionary dynamics of antimicrobial quantitative resistance 24

Ramsès Djidjou-Demasse, Mircea T. Sofonea, Marc Choisy and Samuel Alizon

Published online: 26 September 2023

DOI: https://doi.org/10.1051/mmnp/2023019

Open Access

A control strategy for the sterile insect technique using exponentially decreasing releases to avoid the hair-trigger effect 25

Alexis Leculier and Nga Nguyen

Published online: 25 September 2023

DOI: https://doi.org/10.1051/mmnp/2023018

Open Access

Mathematical modelling and optimal control of production losses caused by Miridae 28

Myriam Djoukwe Tapi, André Nana Yakam, Roger Tagne Wafo and Samuel Bowong

Published online: 17 October 2023

DOI: https://doi.org/10.1051/mmnp/2023030

Open Access

On the Epidemiological Evolution of Colistin-Resistant Acinetobacter Baumannii in the City of Valencia: An Agent-Based Modelling Approach 33

Juan A. Aledo, Carlos Andreu-Vilarroig, Juan-Carlos Cortés, Juan C. Orengo and Rafael-Jacinto Villanueva

Published online: 30 November 2023

DOI: https://doi.org/10.1051/mmnp/2023037

Mathematical physiology and medicine

Open Access

How do cell crowding and starvation affect avascular tumor growth of the EMT6/Ro tumor? 8

Bjarke Spangsberg Bak, Morten Andersen, Johnny T. Ottesen and J.S. Hansen

Published online: 23 March 2023

DOI: https://doi.org/10.1051/mmnp/2023007

Open Access

Mathematical modelling of the effects of statins on the growth of necrotic core in atherosclerotic plaque 11

Weirui Lei, Jiwen Hu, Yaqian Xie, Can Liu and Xuekun Chen

Published online: 23 March 2023

DOI: https://doi.org/10.1051/mmnp/2023005

Open Access

On the strong convergence of the Faedo-Galerkin approximations to a strong T-periodic solution of the torso-coupled bidomain model 14

Raul Felipe-Sosa, Andres Fraguela-Collar and Yofre H. García-Gómez

Published online: 28 April 2023

DOI: https://doi.org/10.1051/mmnp/2023012

Open Access

Interaction between crowding and growth in tumours with stem cells: Conceptual mathematical modelling 15

Luca Meacci and Mario Primicerio

Published online: 16 June 2023

DOI: https://doi.org/10.1051/mmnp/2023011

Open Access

Hypoxia-resistance heterogeneity in tumours: the impact of geometrical characterization of environmental niches and evolutionary trade-offs. A mathematical approach 18

Giulia Chiari, Giada Fiandaca and Marcello Edoardo Delitala

Published online: 11 August 2023

DOI: https://doi.org/10.1051/mmnp/2023023

Open Access

Mathematical modeling of leukemia chemotherapy in bone marrow 21

Ana Niño-López, Salvador Chulián, Álvaro Martínez-Rubio, Cristina Blázquez-Goñi and María Rosa

Published online: 18 August 2023

DOI: https://doi.org/10.1051/mmnp/2023022

Open Access

A phenotype-structured model for the tumour-immune response 22

Zineb Kaid, Camille Pouchol and Jean Clairambault

Published online: 30 August 2023

DOI: https://doi.org/10.1051/mmnp/2023025

Open Access

A numerical 3D fluid-structure interaction model for blood flow in a MRI-based atherosclerotic artery 26

Nader El Khatib, Oualid Kafi, Diana Oliveira, Adélia Sequeira and Jorge Tiago

Published online: 25 September 2023

DOI: https://doi.org/10.1051/mmnp/2023014

Engineering

Open Access

Modelling of hillslope storage under temporally varied rainfall recharge 9

Ping-Cheng Hsieh and Tzu-Ting Huang

Published online: 23 March 2023

DOI: https://doi.org/10.1051/mmnp/2023009

Open Access

Heat and mass diffusion to williamson fluid streaming through a tube with multiple stenoses while subjected to periodic body acceleration 19

Muhammad Fahim, Muhammad Sajid, Nasir Ali and Muhammad Noveel Sadiq

Published online: 14 August 2023

DOI: https://doi.org/10.1051/mmnp/2023021