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Mathematical Modelling of Natural Phenomena

Volume 20 (2025) (in progress)

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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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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