Mathematical Modelling of Natural Phenomena

Open Access

Dynamics of a stochastic population model with Allee effect and jumps 1

Rong Liu and Guirong Liu

Published online: 27 January 2022

DOI: https://doi.org/10.1051/mmnp/2022002

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Nonlocal symmetry and interaction solutions for the new (3+1)-dimensional integrable Boussinesq equation 2

Hengchun Hu and Xiaodan Li

Published online: 03 February 2022

DOI: https://doi.org/10.1051/mmnp/2022001

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Higher-order semi-rational solutions for the coupled complex modified Korteweg-de Vries equation 4

Yu Lou, Yi Zhang and Rusuo Ye

Published online: 17 February 2022

DOI: https://doi.org/10.1051/mmnp/2022006

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Mathematical modeling of inflammatory processes of atherosclerosis 5

G. Abi Younes and N. El Khatib

Published online: 24 February 2022

DOI: https://doi.org/10.1051/mmnp/2022004

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Spatiotemporal pattern formation in a prey–predator model with generalist predator 6

Kalyan Manna and Malay Banerjee

Published online: 01 March 2022

DOI: https://doi.org/10.1051/mmnp/2022007

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Concentration and Cavitation in the Vanishing Pressure Limit of Solutions to a 3 × 3 Generalized Chaplygin Gas Equations 10

Yu Zhang, Shuai Fan and Yanyan Zhang

Published online: 20 May 2022

DOI: https://doi.org/10.1051/mmnp/2022009

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Spectral instability of small-amplitude periodic waves for hyperbolic non-Fickian diffusion advection models with logistic source 13

Enrique Álvarez, Ricardo Murillo and Ramón G. Plaza

Published online: 09 June 2022

DOI: https://doi.org/10.1051/mmnp/2022020

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Mathematical modelling of proton migration in Earth mantle 14

Vadim Bobrovskiy, Juan Galvis, Alexey Kaplin, Alexander Sinitsyn, Marco Tognoli and Paolo Trucco

Published online: 09 June 2022

DOI: https://doi.org/10.1051/mmnp/2022018

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Traveling waves for reaction-diffusion PDE coupled to difference equation with nonlocal dispersal term and time delay 17

Mostafa Adimy, Abdennasser Chekroun and Bogdan Kazmierczak

Published online: 17 June 2022

DOI: https://doi.org/10.1051/mmnp/2022021

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Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition 18

Grigory Panasenko, Konstantin Pileckas and Bogdan Vernescu

Published online: 29 June 2022

DOI: https://doi.org/10.1051/mmnp/2022005

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Rational choice of modelling assumptions for simulation of blood vessel end-to-side anastomosis 20

Igor I. Tagiltsev, Daniil V. Parshin and Alexey V. Shutov

Published online: 11 July 2022

DOI: https://doi.org/10.1051/mmnp/2022022

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Homogenization of a microscopic pedestrians model on a convergent junction 21

N. El Khatib, N. Forcadel and M. Zaydan

Published online: 11 July 2022

DOI: https://doi.org/10.1051/mmnp/2022023

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Wave blocking in a bistable system by local introduction of a population: application to sterile insect techniques on mosquito populations 22

Luís Almeida, Jorge Estrada and Nicolas Vauchelet

Published online: 01 August 2022

DOI: https://doi.org/10.1051/mmnp/2022026

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The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model 26

Shan Shan, Chun Shen and Zhijian Wei

Published online: 04 August 2022

DOI: https://doi.org/10.1051/mmnp/2022029

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Optimal multiplicative control of bacterial quorum sensing under external enzyme impact 29

Anna Maslovskaya, Christina Kuttler, Alexander Chebotarev and Andrey Kovtanyuk

Published online: 18 August 2022

DOI: https://doi.org/10.1051/mmnp/2022031

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Degree-biased advection–diffusion on undirected graphs/networks 30

Manuel Miranda and Ernesto Estrada

Published online: 18 August 2022

DOI: https://doi.org/10.1051/mmnp/2022034

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Structural changes of a radially symmetric thermocapillary flow in the shallow cavity partially covered by a solid film 31

Vitaly Demin and Maxim Petukhov

Published online: 18 August 2022

DOI: https://doi.org/10.1051/mmnp/2022019

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Stochastic bifurcations and tipping phenomena of insect outbreak systems driven by α-stable Lévy processes 34

Shenglan Yuan, Yang Li and Zhigang Zeng

Published online: 30 August 2022

DOI: https://doi.org/10.1051/mmnp/2022037

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The Normal Velocity of the Population Front in the “Predator–Prey” Model 36

Evgeniy Dats, Sergey Minaev, Vladimir Gubernov and Junnosuke Okajima

Published online: 02 September 2022

DOI: https://doi.org/10.1051/mmnp/2022039

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The Effect of Composite Material on Rayleigh Wave at Free Surface of Composite Matrix Saturated by Fluids 37

Ashish Arora and Neeru Bala

Published online: 02 September 2022

DOI: https://doi.org/10.1051/mmnp/2022025

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Controllability of Delayed Discret Fornasini-Marchesini Model via Quantization and Random Packet Dropouts 38

Adnène Arbi

Published online: 06 September 2022

DOI: https://doi.org/10.1051/mmnp/2022040

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Exact Insurance Premiums for Cyber Risk of Small and Medium-Sized Enterprises 40

Stefano Chiaradonna and Nicolas Lanchier

Published online: 14 October 2022

DOI: https://doi.org/10.1051/mmnp/2022041

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Predators as a possible strategy for controlling a Xylella epidemic? 42

S. Anita, V. Capasso, M. Montagna and S. Scacchi

Published online: 20 October 2022

DOI: https://doi.org/10.1051/mmnp/2022043

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Hamiltonian form of an Extended Nonlinear Schrödinger Equation for Modelling the Wave field in a System with Quadratic and Cubic Nonlinearities 43

Yu. V. Sedletsky and I.S. Gandzha

Published online: 09 November 2022

DOI: https://doi.org/10.1051/mmnp/2022044

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Scientific Breakdown of a Ferromagnetic Nanofluid in Hemodynamics: Enhanced Therapeutic Approach 44

M.M. Bhatti and Sara I. Abdelsalam

Published online: 23 December 2022

DOI: https://doi.org/10.1051/mmnp/2022045

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Interaction of high-order breather, periodic wave, lump, rational soliton solutions and mixed solutions for reductions of the (4+1)-dimensional Fokas equation 45

Pei Xia, Yi Zhang and Rusuo Ye

Published online: 23 December 2022

DOI: https://doi.org/10.1051/mmnp/2022047

• Abstract
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