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Mathematical Modelling of Natural Phenomena

Volume 17 (2022) (in progress)

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Fractional Dynamics in Natural Phenomena

Open Access

A fractional diffusion model of CD8⁺ T cells response to parasitic infection in the brain 3

Afshin Farhadi and Emmanuel Hanert

Published online: 03 February 2022

DOI: https://doi.org/10.1051/mmnp/2022003

Mathematical Models and Methods in Epidemiology

Open Access

Non-Markovian modelling highlights the importance of age structure on Covid-19 epidemiological dynamics 7

Bastien Reyné, Quentin Richard, Christian Selinger, Mircea T. Sofonea, Ramsès Djidjou-Demasse and Samuel Alizon

Published online: 29 March 2022

DOI: https://doi.org/10.1051/mmnp/2022008

Open Access

Optimal control strategy to control pandemic Covid-19 using MSI_LI_HR_V Model 23

Shahriar Seddighi Chaharborj, Jalal Hassanzadeh Asl and Babak Mohammadi

Published online: 01 August 2022

DOI: https://doi.org/10.1051/mmnp/2022015

Coronavirus: Scientific insights and societal aspects

Open Access

Efficient Uncertainty Quantification and Variance-Based Sensitivity Analysis in Epidemic Modelling Using Polynomial Chaos 8

Bjørn C.S. Jensen, Allan P. Engsig-Karup and Kim Knudsen

Published online: 20 May 2022

DOI: https://doi.org/10.1051/mmnp/2022014

Open Access

Immuno-Epidemiological Model-Based Prediction of Further Covid-19 Epidemic Outbreaks Due to Immunity Waning 9

Samiran Ghosh, Malay Banerjee and Vitaly Volpert

Published online: 20 May 2022

DOI: https://doi.org/10.1051/mmnp/2022017

Open Access

Quantifying the Effects of Non-Pharmaceutical and Pharmaceutical Interventions Against Covid-19 Epidemic in the Republic of Korea: Mathematical Model-Based Approach Considering Age Groups and the Delta Variant 39

Youngsuk Ko, Victoria May P. Mendoza, Yubin Seo, Jacob Lee, Yeonju Kim, Donghyok Kwon and Eunok Jung

Published online: 09 September 2022

DOI: https://doi.org/10.1051/mmnp/2022024

Systems with Hysteresis and Switching

Open Access

A multiple timescale network model of intracellular calcium concentrations in coupled neurons: Insights from ROM simulations 11

A. Bandera, S. Fernández-García, M. Gómez-Mármol and A. Vidal

Published online: 09 June 2022

DOI: https://doi.org/10.1051/mmnp/2022016

Cancer modelling

Open Access

A mathematical justification for metronomic chemotherapy in oncology 12

Luis A. Fernández, Cecilia Pola and Judith Sáinz-Pardo

Published online: 09 June 2022

DOI: https://doi.org/10.1051/mmnp/2022010

Open Access

Study of architectural forms of invasive carcinoma based on the measurement of pattern complexity 15

Dmitry Bratsun and Ivan Krasnyakov

Published online: 16 June 2022

DOI: https://doi.org/10.1051/mmnp/2022013

Nonlocal and delay equations

Open Access

Protein pattern formation induced by the joint effect of noise and delay in a multi-cellular system 16

Dmitry Bratsun

Published online: 17 June 2022

DOI: https://doi.org/10.1051/mmnp/2022011

Modelling and Simulations of Fluid Flows

Open Access

Mathematical modeling of Aphron drilling nanofluid driven by electroosmotically modulated peristalsis through a pipe 19

Javaria Akram and Noreen Sher Akbar

Published online: 11 July 2022

DOI: https://doi.org/10.1051/mmnp/2022012

Open Access

On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid 27

Sara I. Abdelsalam and A.Z. Zaher

Published online: 12 August 2022

DOI: https://doi.org/10.1051/mmnp/2022030

Recent Trends in Hyperbolic Equations in Physical Systems

Open Access

Nonlocal longitudinal vibration in a nanorod, a system theoretic analysis 24

Hanif Heidari and Hans Zwart

Published online: 01 August 2022

DOI: https://doi.org/10.1051/mmnp/2022028

Open Access

Mathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voids 41

Moncef Aouadi

Published online: 20 October 2022

DOI: https://doi.org/10.1051/mmnp/2022042

Modelling of Communicable Diseases

Open Access

A SIQRB delayed model for cholera and optimal control treatment 25

Ana P. Lemos-Paião, Helmut Maurer, Cristiana J. Silva and Delfim F. M. Torres

Published online: 01 August 2022

DOI: https://doi.org/10.1051/mmnp/2022027

Open Access

Optimal control for a bone metastasis with radiotherapy model using a linear objective functional 32

A. Camacho, E. Díaz-Ocampo and S. Jerez

Published online: 23 August 2022

DOI: https://doi.org/10.1051/mmnp/2022038

Open Access

S̲tochastic S̲imulation A̲lgorithm For Effective Spreading Dynamics On T̲ime-Evolving A̲daptive N̲etworX̲ (SSATAN-X) 35

Nadezhda Malysheva, Junyu Wang and Max von Kleist

Published online: 05 September 2022

DOI: https://doi.org/10.1051/mmnp/2022035

Ecology and evolution

Open Access

Modelling optimal pest control of non-autonomous predator–prey interaction 28

Paulo Rebelo, Silvério Rosa and César M. Silva

Published online: 18 August 2022

DOI: https://doi.org/10.1051/mmnp/2022033

Open Access

Analytical detection of stationary turing pattern in a predator-prey system with generalist predator 33

Subrata Dey, Malay Banerjee and Saktipada Ghorai

Published online: 25 August 2022

DOI: https://doi.org/10.1051/mmnp/2022032

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Open Access

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

Mathematical Modelling of Natural Phenomena

Volume 17 (2022) (in progress)

A fractional diffusion model of CD8+ T cells response to parasitic infection in the brain 3

Non-Markovian modelling highlights the importance of age structure on Covid-19 epidemiological dynamics 7

Optimal control strategy to control pandemic Covid-19 using MSILIHR_V Model 23

Efficient Uncertainty Quantification and Variance-Based Sensitivity Analysis in Epidemic Modelling Using Polynomial Chaos 8

Immuno-Epidemiological Model-Based Prediction of Further Covid-19 Epidemic Outbreaks Due to Immunity Waning 9

Quantifying the Effects of Non-Pharmaceutical and Pharmaceutical Interventions Against Covid-19 Epidemic in the Republic of Korea: Mathematical Model-Based Approach Considering Age Groups and the Delta Variant 39

A multiple timescale network model of intracellular calcium concentrations in coupled neurons: Insights from ROM simulations 11

A mathematical justification for metronomic chemotherapy in oncology 12

Study of architectural forms of invasive carcinoma based on the measurement of pattern complexity 15

Protein pattern formation induced by the joint effect of noise and delay in a multi-cellular system 16

Mathematical modeling of Aphron drilling nanofluid driven by electroosmotically modulated peristalsis through a pipe 19

On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid 27

Nonlocal longitudinal vibration in a nanorod, a system theoretic analysis 24

Mathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voids 41

A SIQRB delayed model for cholera and optimal control treatment 25

Optimal control for a bone metastasis with radiotherapy model using a linear objective functional 32

S̲tochastic S̲imulation A̲lgorithm For Effective Spreading Dynamics On T̲ime-Evolving A̲daptive N̲etworX̲ (SSATAN-X) 35

Modelling optimal pest control of non-autonomous predator–prey interaction 28

Analytical detection of stationary turing pattern in a predator-prey system with generalist predator 33

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

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

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

Mathematical modeling of inflammatory processes of atherosclerosis 5

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

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

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

Mathematical modelling of proton migration in Earth mantle 14

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

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

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

Homogenization of a microscopic pedestrians model on a convergent junction 21

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

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

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

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

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

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

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

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

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

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

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

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

A fractional diffusion model of CD8⁺ T cells response to parasitic infection in the brain 3

Optimal control strategy to control pandemic Covid-19 using MSI_LI_HR_V Model 23