Mathematical Modelling of Natural Phenomena

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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.

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Dynamical Analysis of a Plant-Herbivore Model with double Delay Effect and double Allee Effect

Xiaoquan Kong, Zhenjie Zhang and Ruizhi Yang

Math. Model. Nat. Phenom., Forthcoming article

Received: 31 May 2025 / Revised: 19 February 2026 / Accepted: 19 February 2026

DOI: https://doi.org/10.1051/mmnp/2026009

PDF (2.121 MB)

Adaptation in shifting and size-changing environments under selection

Matthieu Alfaro, Adel Blouza and Nessim Dhaouadi

Math. Model. Nat. Phenom., Forthcoming article

Received: 07 October 2025 / Revised: 09 February 2026 / Accepted: 15 February 2026

DOI: https://doi.org/10.1051/mmnp/2026008

PDF (1.008 MB)

Stability and Bifurcation in an Age-Structured Predator-Prey System with Beddington-DeAngelis Response, Constant Prey Harvesting, and Two Delays

Dongxue Yan, Yongxian Jin and Yuan Yuan

Math. Model. Nat. Phenom., Forthcoming article

Received: 14 August 2025 / Revised: 17 December 2025 / Accepted: 03 February 2026

DOI: https://doi.org/10.1051/mmnp/2026006

PDF (900.8 KB)

Mathematical Modeling of Malaria and Typhoid Co-infection: Exploring Vector and Non-Vector Transmission Dynamics

Queeneth Ojoma Ahman, Mary Bassey Okofu, Chioma Lydia Ejikeme, Emmanuel Olorunfemi Senewo and Benedict Celestine Agbata

Math. Model. Nat. Phenom., Forthcoming article

Received: 30 August 2025 / Revised: 08 November 2025 / Accepted: 02 February 2026

DOI: https://doi.org/10.1051/mmnp/2026007

PDF (2.035 MB)

Mathematical model for immune checkpoint inhibitors with delayed responses

Collin Zheng, Danya Rose and Peter Kim

Math. Model. Nat. Phenom., Forthcoming article

Received: 19 April 2025 / Revised: 27 November 2025 / Accepted: 02 February 2026

DOI: https://doi.org/10.1051/mmnp/2026004

PDF (5.275 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)

Stability Analysis of a Stochastic Unemployment Model.

Oumaima Aarabate and Omar Balatif

Math. Model. Nat. Phenom., Forthcoming article

Received: 29 April 2025 / Revised: 07 October 2025 / Accepted: 02 February 2026

DOI: https://doi.org/10.1051/mmnp/2026003

PDF (402.9 KB)

Mathematical modelling of the contribution of senescent fibroblasts to basement membrane digestion during carcinoma invasion

Luis Almeida, Alexandre Poulain, Albin Pourtier and Chiara Villa

Math. Model. Nat. Phenom., Forthcoming article

Received: 15 October 2025 / Revised: 18 December 2025 / Accepted: 23 December 2025

DOI: https://doi.org/10.1051/mmnp/2026002

PDF (7.844 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)

Self-foldability of Dürer Net Models of Viral Capsids: Exploring Nanocapsule Design via 4D Printing

John R Jungck, Donald Plante, Stephen Brittain, Joseph Yarbrough and Caitlyn Zeller

Math. Model. Nat. Phenom., Forthcoming article

Received: 15 May 2024 / Revised: 21 July 2025 / Accepted: 27 August 2025

DOI: https://doi.org/10.1051/mmnp/2025024

PDF (2.225 MB)

Unraveling the Hemodynamic Impact of Persistent Iliac Vein Lesions and Physical Therapy Post-Stenting

Zhenmin Fan, Jian Lu, Robert Guidoin, Xiaoyan Deng, Xia Ye and Zhixiang Zhang

Math. Model. Nat. Phenom., Forthcoming article

Received: 10 October 2024 / Revised: 25 February 2025 / Accepted: 31 March 2025

DOI: https://doi.org/10.1051/mmnp/2025013

PDF (655.1 KB)

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)

COMBINED HORMONE AND BRACHY THERAPIES FOR THE TREATMENT OF PROSTATE CANCER

Salma Chabbar, Abderrahmane Habbal, Rajae Aboulaich, Nabil Ismaili and Sanaa El Majjaoui

Math. Model. Nat. Phenom., Forthcoming article

Received: 02 August 2022 / Revised: 05 June 2023 / Accepted: 08 November 2023

DOI: https://doi.org/10.1051/mmnp/2023038

PDF (1.691 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)