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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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Analysis of the age-structured epidemiological characteristics of SARS-COV-2 transmission in mainland China: An aggregated approach

Junyuan Yang, Guoqiang Wang, Shuo Zhang, Fei Xu and Xuezhi Li
Math. Model. Nat. Phenom., Forthcoming article
Received: 06 May 2020 / Revised: 28 June 2020 / Accepted: 31 July 2020
DOI: https://doi.org/10.1051/mmnp/2020032
Free Access

On the maximization problem for solutions of reaction-diffusion equations with respect to their initial data.

Grégoire Nadin and Ana Isis Toledo Marrero
Math. Model. Nat. Phenom., Forthcoming article
Received: 05 July 2019 / Revised: 28 April 2020 / Accepted: 27 July 2020
DOI: https://doi.org/10.1051/mmnp/2020030
Free Access

Lifting the COVID-19 lockdown: different scenarios for France

Emmanuelle Augeraud-Véron
Math. Model. Nat. Phenom., Forthcoming article
Received: 07 April 2020 / Revised: 20 July 2020 / Accepted: 26 July 2020
DOI: https://doi.org/10.1051/mmnp/2020031
Free Access

Studying Lump Solutions, Rogue Wave Solutions and Dynamical Interaction For New Model Generating From Lax Pair

M. Elboree
Math. Model. Nat. Phenom., Forthcoming article
Received: 18 April 2020 / Revised: 04 July 2020 / Accepted: 05 July 2020
DOI: https://doi.org/10.1051/mmnp/2020029
Free Access

Analysis and simulations with a multi-scale model of canine visceral leishmaniasis.

Jonathan Shane Welker and Maia Martcheva
Math. Model. Nat. Phenom., Forthcoming article
Received: 12 January 2020 / Revised: 05 June 2020 / Accepted: 29 June 2020
DOI: https://doi.org/10.1051/mmnp/2020026
Free Access

Active Control of an Improved Boussinesq System

Kenan Yıldırım
Math. Model. Nat. Phenom., Forthcoming article
Received: 19 May 2020 / Revised: 19 June 2020 / Accepted: 22 June 2020
DOI: https://doi.org/10.1051/mmnp/2020024
Free Access

Hysteresis and controllability of affine driftless systems: some case studies

Fabio Bagagiolo and Marta Zoppello
Math. Model. Nat. Phenom., Forthcoming article
Received: 03 February 2020 / Revised: 10 June 2020 / Accepted: 11 June 2020
DOI: https://doi.org/10.1051/mmnp/2020023
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Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation

Mohammad Mirzazadeh, K. Hosseini, M. Aligoli, M. Eslami, M. Mirzazadeh and J.G. Liu
Math. Model. Nat. Phenom., Forthcoming article
Received: 27 January 2020 / Revised: 23 February 2020 / Accepted: 02 May 2020
DOI: https://doi.org/10.1051/mmnp/2020018
Free Access

A theoretical connection between the Noisy Leaky Integrate-and-Fire and the Escape Rate models: The non-autonomous case.

Carmen Tarniceriu, Gregory Dumont and Jacques Henry
Math. Model. Nat. Phenom., Forthcoming article
Received: 08 July 2019 / Revised: 05 February 2020 / Accepted: 27 April 2020
DOI: https://doi.org/10.1051/mmnp/2020017
Free Access

Newton and Bouligand derivatives of the scalar play and stop operator

Martin Brokate
Math. Model. Nat. Phenom., Forthcoming article
Received: 16 April 2019 / Revised: 13 November 2019 / Accepted: 06 April 2020
DOI: https://doi.org/10.1051/mmnp/2020013
Free Access

On stability of linear dynamic systems with hysteresis feedback

Michael Ruderman
Math. Model. Nat. Phenom., Forthcoming article
Received: 15 December 2018 / Revised: 31 July 2019 / Accepted: 06 April 2020
DOI: https://doi.org/10.1051/mmnp/2020014
Free Access

Optimal Control for a Mathematical Model for Chemotherapy with Pharmacometrics

Maciej Leszczynski, Urszula Ledzewicz and Heinz Schaettler
Math. Model. Nat. Phenom., Forthcoming article
Received: 16 January 2019 / Revised: 08 January 2020 / Accepted: 30 March 2020
DOI: https://doi.org/10.1051/mmnp/2020008
Free Access

On forward and inverse uncertainty quantification for models involving hysteresis operators

Olaf Klein, Danile Davino and Ciro Visone
Math. Model. Nat. Phenom., Forthcoming article
Received: 17 December 2018 / Revised: 21 January 2020 / Accepted: 29 March 2020
DOI: https://doi.org/10.1051/mmnp/2020009
Free Access

Global stability in a competitive infection-age structured model

Quentin Richard
Math. Model. Nat. Phenom., Forthcoming article
Received: 04 November 2019 / Revised: 04 March 2020 / Accepted: 13 March 2020
DOI: https://doi.org/10.1051/mmnp/2020007
Free Access

Integrability of Stochastic Birth-Death processes via Differential Galois Theory

Primitivo B. Acosta-Humanez, Jose A. Capitan and Juan J. Morales-Ruiz
Math. Model. Nat. Phenom., Forthcoming article
Received: 03 September 2019 / Revised: 29 February 2020 / Accepted: 05 March 2020
DOI: https://doi.org/10.1051/mmnp/2020005
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Microtubules (MT) a key target in oncology : Mathematical modeling of anti-MT agents on cell migration

Rémi Tesson, Florence Hubert, Stéphane Honoré and Emilie Denicolai
Math. Model. Nat. Phenom., Forthcoming article
Received: 21 January 2019 / Revised: 22 November 2019 / Accepted: 27 February 2020
DOI: https://doi.org/10.1051/mmnp/2020004
Free Access

Fractional order prey-predator model with infected predators in the presence of competition and toxicity

Mohemed Reda Lemnouar, Mohamed Khalfaoui, Younes Louartassi and Ichrak Tolaimate
Math. Model. Nat. Phenom., Forthcoming article
Received: 04 August 2019 / Revised: 28 January 2020 / Accepted: 07 February 2020
DOI: https://doi.org/10.1051/mmnp/2020002
Free Access

Effects of delayed immune-activation in the dynamics of tumor-immune interactions

Parthasakha Das, Pritha Das and Samhita Das
Math. Model. Nat. Phenom., Forthcoming article
Received: 11 May 2019 / Revised: 20 August 2019 / Accepted: 26 January 2020
DOI: https://doi.org/10.1051/mmnp/2020001
Free Access

The global stability of a class of history-dependent macroeconomic models

Pavel Krejci, Harbir Lamba and Dmitrii Rachinskii
Math. Model. Nat. Phenom., Forthcoming article
Received: 24 January 2019 / Revised: 28 July 2019 / Accepted: 30 November 2019
DOI: https://doi.org/10.1051/mmnp/2019061
Free Access

Temporal cavity solitons in a delayed model of a dispersive cavity ring laser

Alexander Pimenov, Shalva Amiranashvili and Andrei Vladimirov
Math. Model. Nat. Phenom., Forthcoming article
Received: 17 December 2018 / Revised: 26 September 2019 / Accepted: 21 November 2019
DOI: https://doi.org/10.1051/mmnp/2019054
Free Access

Extinction and stationary distribution of a Markovian-switching prey-predator model with additional food for predator

Xiaoxia Guo and Dehao Ruan
Math. Model. Nat. Phenom., Forthcoming article
Received: 26 April 2019 / Revised: 04 November 2019 / Accepted: 20 November 2019
DOI: https://doi.org/10.1051/mmnp/2019055
Free Access

Efficiency of hysteretic damper in oscillating systems

Mikhail E Semenov, Andrey M. Solovyov, Peter A. Meleshenko and Olga O Reshetova
Math. Model. Nat. Phenom., Forthcoming article
Received: 15 December 2018 / Revised: 20 September 2019 / Accepted: 19 November 2019
DOI: https://doi.org/10.1051/mmnp/2019053
Free Access

Fatigue and phase transition in an oscillating elastoplastic beam

Michela Eleuteri, Chiara Gavioli and Jana Kopfova
Math. Model. Nat. Phenom., Forthcoming article
Received: 27 December 2018 / Revised: 19 September 2019 / Accepted: 17 November 2019
DOI: https://doi.org/10.1051/mmnp/2019052
Free Access

The Impact of Competition Between Cancer Cells and Healthy Cells on Optimal Drug Delivery

Heyrim Cho and Doron Levy
Math. Model. Nat. Phenom., Forthcoming article
Received: 05 December 2018 / Revised: 05 August 2019 / Accepted: 03 October 2019
DOI: https://doi.org/10.1051/mmnp/2019043