Free Access to the whole issue

Special Issue to honour Vitaly's work

Open Access

Spreading speed for a time-periodic vector-borne disease system on a growing domain 12

Arnaud Ducrot, Hongliang Li and David Manceau

Published online: 14 May 2025

DOI: https://doi.org/10.1051/mmnp/2024024

• Abstract
• PDF (26.24 MB)
• References

Open Access

Enhancing maximum sustainable yield in a multi-patch Rosenzweig–Macarthur model with symmetrical prey and asymmetrical predator migration 13

Ali Moussaoui, Pierre Auger and Bilel Elbetch

Published online: 14 May 2025

DOI: https://doi.org/10.1051/mmnp/2025004

• Abstract
• PDF (1.877 MB)
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Open Access

The interplay between evolutionary and immunological dynamics regulates virus variant emergence and competition 14

Anass Bouchnita, Shraddha Ramdas Bandekar, Kaiming Bi, Behzad Djafari Rouhani, Spencer J. Fox and Juan A. Garcia

Published online: 14 May 2025

DOI: https://doi.org/10.1051/mmnp/2025006

• Abstract
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• References

Open Access

Spatial organization of mediated-macrophage chemoprotective niches in solid tumors: A mathematical analysis 15

William Dangelser, Angelique Stephanou and Arnaud Millet

Published online: 14 May 2025

DOI: https://doi.org/10.1051/mmnp/2025012

• Abstract
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Open Access

Global stability for a forest model with unimodal fertility and monotone growth rates 18

Karel Hasík, Jana Kopfová, Petra Nábělková and Sergei Trofimchuk

Published online: 10 July 2025

DOI: https://doi.org/10.1051/mmnp/2025016

• Abstract
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Open Access

A Qualitative Analysis of the Inflammatory Response in Atherosclerosis with Emphasis on LDL Oxidation 19

G. Abi Younes, Y. Chahrour, W. El Hajj and N. El Khatib

Published online: 10 July 2025

DOI: https://doi.org/10.1051/mmnp/2025018

• Abstract
• PDF (1.095 MB)
• References

Open Access

Spatial pattern analysis of A Aβ-monomer model with inflammation processes for Alzheimer’s disease 22

Maxime Estavoyer, Nicolas Torres, Julien Blohm, Malay Banerjee and Laurent Pujo-Menjouet

Published online: 22 September 2025

DOI: https://doi.org/10.1051/mmnp/2025022

• Abstract
• PDF (24.97 MB)
• References

Physics

Open Access

Wave propagation along the interface between the hyperbolic graded-index and photorefractive crystals 1

S.E. Savotchenko

Published online: 03 January 2025

DOI: https://doi.org/10.1051/mmnp/2024023

• Abstract
• PDF (4.086 MB)
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Open Access

On the geometric evolution and second order dynamics of level-sets of fields defined by partial differential equations 23

Aarne Pohjonen

Published online: 22 September 2025

DOI: https://doi.org/10.1051/mmnp/2025021

• Abstract
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Open Access

New patterns of the light intensity distribution localized near the interface between the crystal with a hyperbolic index profile layer and the crystal with the nonlinearity emergence with an increasing light intensity 27

S.E. Savotchenko

Published online: 14 November 2025

DOI: https://doi.org/10.1051/mmnp/2025026

• Abstract
• PDF (2.093 MB)
• References

Mathematical methods

Open Access

A parametric optimal control problem applied to daily irrigation 2

Ana P. Lemos-Paião, Sofia O. Lopes and M. D. R. de Pinho

Published online: 06 January 2025

DOI: https://doi.org/10.1051/mmnp/2024020

• Abstract
• PDF (6.175 MB)
• References

Open Access

A mathematical model for coregistered data from electroencephalography and diffusive optical tomography 4

M. Darbas, S. Lohrengel and B. Sulis

Published online: 12 February 2025

DOI: https://doi.org/10.1051/mmnp/2025001

• Abstract
• PDF (9.728 MB)
• References

Open Access

A biased dollar exchange model involving bank and debt with discontinuous equilibrium 5

Fei Cao and Stephanie Reed

Published online: 17 March 2025

DOI: https://doi.org/10.1051/mmnp/2025007

• Abstract
• PDF (772.3 KB)
• References

Open Access

Geometries of mixed graphs in complex vector spaces. Hierarchies and clusters in complex networks 7

Ernesto Estrada

Published online: 24 March 2025

DOI: https://doi.org/10.1051/mmnp/2025009

• Abstract
• PDF (6.416 MB)
• References

Open Access

Asymptotic properties and optimal control of rainfall models involving forest-lake effects 8

Jialiang Huang and Xianlong Fu

Published online: 24 March 2025

DOI: https://doi.org/10.1051/mmnp/2025005

• Abstract
• PDF (7.833 MB)
• References

Open Access

Generalization of the Overlapping Coefficient for k ≥ 2 Normal Distributions 9

Omar M. Eidous and Majd M. Alsheyyab

Published online: 04 April 2025

DOI: https://doi.org/10.1051/mmnp/2025008

• Abstract
• PDF (1.284 MB)
• References

Open Access

Non-local hyperbolic dynamics of clusters 10

R. M. Colombo and M. Garavello

Published online: 16 April 2025

DOI: https://doi.org/10.1051/mmnp/2025011

• Abstract
• PDF (2.976 MB)
• References

Open Access

Asymptotic dynamics of SIRS epidemic model with dispersal budgets and nonlinear rates about heterogenous environments 17

Soufiane Bentout and Salih Djilali

Published online: 24 June 2025

DOI: https://doi.org/10.1051/mmnp/2025015

• Abstract
• PDF (722.6 KB)
• References

Open Access

Intelligent control strategies for SEIQRS epidemic models using neural networks 20

Mohammed Azoua, Aissam Hadri, Amine Laghrib and Imad Hafidi

Published online: 19 August 2025

DOI: https://doi.org/10.1051/mmnp/2025017

• Abstract
• PDF (2.815 MB)
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Open Access

Modeling of a non-Newtonian thin film passing a thin porous medium 21

María Anguiano and Francisco J. Suárez-Grau

Published online: 22 September 2025

DOI: https://doi.org/10.1051/mmnp/2025020

• Abstract
• PDF (2.081 MB)
• References

Open Access

Bushfires and Balance: Proactive versus Reactive Policies in Prescribed Burning 24

Serena Dipierro, Enrico Valdinoci, Glen Wheeler and Valentina-Mira Wheeler

Published online: 26 September 2025

DOI: https://doi.org/10.1051/mmnp/2025023

• Abstract
• PDF (8.911 MB)
• References

Open Access

Mathematical and Numerical Methods for Understanding Immune Cell Motion During Wound Healing 28

Giulia Lupi, Seol Ah Park, Martin Ambroz, Resul Ozbilgic, Mai Nguyen Chi, Georges Lutfalla and Karol Mikula

Published online: 24 December 2025

DOI: https://doi.org/10.1051/mmnp/2025030

• Abstract
• PDF (13.51 MB)
• References

Mathematical physiology and medicine

Open Access

Modeling Fibrous Dysplasia Progression and its Therapeutic Intervention 3

Juan C. Beltran-Vargas, Luis F. de Castro, Gabriel F. Calvo and Víctor M. Pérez-García

Published online: 20 January 2025

DOI: https://doi.org/10.1051/mmnp/2024022

• Abstract
• PDF (3.091 MB)
• References

Open Access

Accurate Cerebral Venous Blood Flow Simulations Compared to Real Data 11

Pierre Mollo, Guillaume Dollé, Olivier Balédent and Stéphanie Salmon

Published online: 25 April 2025

DOI: https://doi.org/10.1051/mmnp/2025002

• Abstract
• PDF (4.730 MB)
• References

Open Access

Constructing mathematical models from small data sets: Cell-viability model of melanoma under inhibition by MAZ-51 29

Roumen Anguelov, Charlise Basson, Priyesh Bipath, Yvette Hlophe, Carolyn Nadasen, Avulundiah Edwin Phiri and June Serem

Published online: 07 January 2026

DOI: https://doi.org/10.1051/mmnp/2025029

• Abstract
• PDF (2.835 MB)
• References

Engineering

Open Access

On nanowire morphological instability and pinch-off by surface electromigration 6

Mikhail Khenner

Published online: 17 March 2025

DOI: https://doi.org/10.1051/mmnp/2025010

• Abstract
• PDF (1.358 MB)
• References

Population dynamics and epidemiology

Open Access

Predator functional response in mathematical models compared to the zooplankton functional response in a lake ecosystem 16

Nailya I. Nurieva, Yuri V. Tyutyunov, Nikolay S. Minayev, Dmitry A. Tikhonov, Ignat S. Minayev, Nataly P. Radchikova, Alexey V. Rusakov, Boris V. Adamovich and Alexander B. Medvinsky

Published online: 24 June 2025

DOI: https://doi.org/10.1051/mmnp/2025014

• Abstract
• PDF (1.232 MB)
• References

Open Access

Effects of Age-Dependent Competition During Immature Developmental Stages on Species Population 26

Shyan-Shiou Chen, Chang-Yuan Cheng and Jui-Pin Tseng

Published online: 17 October 2025

DOI: https://doi.org/10.1051/mmnp/2025019

• Abstract
• PDF (1.351 MB)
• References

Fractional Dynamics in Natural Phenomena

Open Access

Emergence of complexity in opinion propagation: A reaction-diffusion model 25

Romain Ducasse and Samuel Tréton

Published online: 08 October 2025

DOI: https://doi.org/10.1051/mmnp/2025025

• Abstract
• PDF (6.699 MB)
• References