Mathematical Modelling of Natural Phenomena

Subscriber Authentication Point

EDPS Account

Forthcoming articles

Mathematical Modelling of Natural Phenomena gives online access to unedited preprint version of accepted papers, ahead of publication. This online version does not take into account corrections made during production process.

Online access to PDF files is granted to subscribers.

Self-organization of plankton patchiness across multiple scales: An explanation coupling reaction-diffusion model and environmental heterogeneity

Tousheng Huang, Yufei Zhao, Xuewei Sun, Zhenyu Ren, Jincheng Zheng, Xingyu Zhou, Lele Zhang, Wang Tian and Yonglan Tian

Math. Model. Nat. Phenom., Forthcoming article

Received: 28 May 2025 / Revised: 11 March 2026 / Accepted: 03 April 2026

DOI: https://doi.org/10.1051/mmnp/2026012

PDF (2.553 MB)

Dynamical analysis and numerical simulation of a reaction-diffusion model for microbial decomposition of organic matter in 3D soil structure

Elghandouri Mohammed, Khalil Ezzinbi, Mouad Klai and Olivier Monga

Math. Model. Nat. Phenom., Forthcoming article

Received: 20 July 2024 / Revised: 05 February 2026 / Accepted: 17 March 2026

DOI: https://doi.org/10.1051/mmnp/2026011

PDF (9.989 MB)

Conditional Success of Adaptive Therapy: The Role of Treatment Thresholds and Non-Existence of Optimal Strategies Revealed by Mathematical Modelling and Optimal Control

Lanfei Sun, Haifeng Zhang, Kai Kang, Xiaoxin Wang, Leyi Zhang, Yanan Cai, Lei Zhang and Changjing Zhuge

Math. Model. Nat. Phenom., Forthcoming article

Received: 21 February 2025 / Revised: 05 January 2026 / Accepted: 09 March 2026

DOI: https://doi.org/10.1051/mmnp/2026010

PDF (6.801 MB)

Feedback stabilization for a spatial-dependent Sterile Insect Technique model with Allee Effect p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 17.2px Helvetica; color: #000000}

Luis Almeida, Kala Agbo bidi and Jean-Michel Coron

Math. Model. Nat. Phenom., Forthcoming article

Received: 08 February 2025 / Revised: 01 December 2025 / Accepted: 02 February 2026

DOI: https://doi.org/10.1051/mmnp/2026005

PDF (2.183 MB)

In silico phase-field modeling of cell directed migration towards environments of lower or higher adhesion

Lucas Curci, Valentine Seveau de Noray, Olivier Theodoly, Marie-Pierre Valignat, Florence Hubert and Julien Olivier

Math. Model. Nat. Phenom., Forthcoming article

Received: 03 August 2024 / Revised: 23 October 2025 / Accepted: 24 October 2025

DOI: https://doi.org/10.1051/mmnp/2025028

PDF (3.356 MB)

Data – driven neuronal dynamics: Model identification and spiking analysis

Yicheng Mao and Xianbin Liu

Math. Model. Nat. Phenom., Forthcoming article

Received: 23 April 2024 / Revised: 05 June 2024 / Accepted: 24 June 2024

DOI: https://doi.org/10.1051/mmnp/2024014

PDF (1.716 MB)

TRAVELING WAVES IN HEMODYNAMIC EQUATIONS WITH THE KOITER SHELL

Sergey Vasyutkin and Alexander Chupakhin

Math. Model. Nat. Phenom., Forthcoming article

Received: 01 September 2022 / Revised: 14 July 2023 / Accepted: 15 September 2023

DOI: https://doi.org/10.1051/mmnp/2023032

PDF (1.676 MB)