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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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Optimal control techniques based on infection age for the study of the COVID-19 epidemic

Joseph Frédéric Bonnans and Justina Gianatti
Math. Model. Nat. Phenom., Forthcoming article
Received: 18 May 2020 / Revised: 01 September 2020 / Accepted: 03 September 2020
DOI: https://doi.org/10.1051/mmnp/2020035
Free Access

Dynamics of a three species ratio-dependent food chain model with diffusion and double free boundaries

Dawei Zhang, Beiping Duan and Binxiang Dai
Math. Model. Nat. Phenom., Forthcoming article
Received: 14 November 2019 / Revised: 26 July 2020 / Accepted: 29 July 2020
DOI: https://doi.org/10.1051/mmnp/2020034
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

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
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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
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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
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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

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