Mathematical Modelling of Natural Phenomena

Control of instabilities and patterns in extended systems

Open Access

Controlling of longwave oscillatory Marangoni patterns on a rhombic lattice 1

Anna Samoilova and Alexander Nepomnyashchy

Published online: 25 January 2021

DOI: https://doi.org/10.1051/mmnp/2020054

Open Access

Controlling oscillator coherence by multiple delay feedback 6

Denis S. Goldobin and Elizaveta V. Shklyaeva

Published online: 08 February 2021

DOI: https://doi.org/10.1051/mmnp/2020049

Open Access

Chimeras on a social-type network 15

Arkady Pikovsky

Published online: 22 March 2021

DOI: https://doi.org/10.1051/mmnp/2021012

Open Access

Bifurcation control of a minimal model of marine plankton interaction with multiple delays 16

Zhichao Jiang and Maoyan Jie

Published online: 23 March 2021

DOI: https://doi.org/10.1051/mmnp/2021013

Open Access

A review of fluid instabilities and control strategies with applications in microgravity 24

J. Porter, P. Salgado Sánchez, V. Shevtsova and V. Yasnou

Published online: 21 April 2021

DOI: https://doi.org/10.1051/mmnp/2021020

Open Access

Effect of charge modulation on the electroconvective flow of a low conducting liquid 35

Oleg O. Nekrasov and Boris L. Smorodin

Published online: 04 June 2021

DOI: https://doi.org/10.1051/mmnp/2021027

Open Access

Control of fingering instability by vibrations 40

Tatyana Lyubimova, Andrey Ivantsov and Dmitry Lyubimov

Published online: 16 June 2021

DOI: https://doi.org/10.1051/mmnp/2021031

Open Access

Dynamics and control of loop reactors: a review 43

Moshe Sheintuch and Olga Nekhamkina

Published online: 28 June 2021

DOI: https://doi.org/10.1051/mmnp/2021035

Open Access

Control of traveling localized spots 46

S. Martens, C. Ryll, J. Löber, F. Tröltzsch and H. Engel

Published online: 26 July 2021

DOI: https://doi.org/10.1051/mmnp/2021036

Open Access

Mixing control in a continuous-flow microreactor using electro-osmotic flow 49

Ramil Siraev, Pavel Ilyushin and Dmitry Bratsun

Published online: 31 August 2021

DOI: https://doi.org/10.1051/mmnp/2021043

Modelling and Simulations of Fluid Flows

Open Access

Design optimisation of labyrinth seals using LES 2

J.C. Tyacke, Y. Dai, R. Watson and P.G. Tucker

Published online: 08 February 2021

DOI: https://doi.org/10.1051/mmnp/2020056

Open Access

A cellular automaton model for a pedestrian flow problem 11

Jiří Felcman and Petr Kubera

Published online: 03 March 2021

DOI: https://doi.org/10.1051/mmnp/2021002

Fractional Dynamics in Natural Phenomena

Open Access

Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system 3

Ercan Balci, Senol Kartal and Ilhan Ozturk

Published online: 08 February 2021

DOI: https://doi.org/10.1051/mmnp/2020055

Open Access

New aspects of fractional Bloch model associated with composite fractional derivative 10

Jagdev Singh, Devendra Kumar and Dumitru Baleanu

Published online: 03 March 2021

DOI: https://doi.org/10.1051/mmnp/2020046

Open Access

Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data 12

Lijuan Nong, An Chen and Jianxiong Cao

Published online: 22 March 2021

DOI: https://doi.org/10.1051/mmnp/2021007

Open Access

On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative 18

Nguyen Huy Tuan, Nguyen Anh Tuan, Donal O’Regan and Vo Viet Tri

Published online: 23 March 2021

DOI: https://doi.org/10.1051/mmnp/2021010

Open Access

Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations 27

Nguyen Duc Phuong, Nguyen Anh Tuan, Devendra Kumar and Nguyen Huy Tuan

Published online: 28 April 2021

DOI: https://doi.org/10.1051/mmnp/2021015

Open Access

Travelling waves solution for fractional-order biological population model 32

Hassan Khan, Rasool Shah, J.F. Gómez-Aguilar, Shoaib, Dumitru Baleanu and Poom Kumam

Published online: 04 June 2021

DOI: https://doi.org/10.1051/mmnp/2021016

Open Access

A generalized kinetic model of the advection-dispersion process in a sorbing medium 39

Dumitru Vieru, Constantin Fetecau, Najma Ahmed and Nehad Ali Shah

Published online: 15 June 2021

DOI: https://doi.org/10.1051/mmnp/2021022

Open Access

On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space 41

Mohammed Al-Smadi, Hemen Dutta, Shatha Hasan and Shaher Momani

Published online: 18 June 2021

DOI: https://doi.org/10.1051/mmnp/2021030

Open Access

A computational study of transmission dynamics for dengue fever with a fractional approach 48

Sunil Kumar, R.P. Chauhan, Jagdev Singh and Devendra Kumar

Published online: 09 August 2021

DOI: https://doi.org/10.1051/mmnp/2021032

Open Access

Investigation of COVID-19 mathematical model under fractional order derivative 50

Kamal Shah, Muhammad Arfan, Wejdan Deebani, Meshal Shutaywi and Dumitru Baleanu

Published online: 17 September 2021

DOI: https://doi.org/10.1051/mmnp/2021044

Cancer modelling

Open Access

Multiobjective approach in the treatment of cancer 4

Soukaina Sabir, Nadia Raissi and Mustapha Serhani

Published online: 08 February 2021

DOI: https://doi.org/10.1051/mmnp/2020057

Open Access

Memory effects on the proliferative function in the cycle-specific of chemotherapy 14

Najma Ahmed, Dumitru Vieru and F.D. Zaman

Published online: 22 March 2021

DOI: https://doi.org/10.1051/mmnp/2021009

Open Access

Three-dimensional phase field model for actin-based cell membrane dynamics 56

Mohammad Abu Hamed and Alexander A. Nepomnyashchy

Published online: 14 October 2021

DOI: https://doi.org/10.1051/mmnp/2021048

Mathematical immunology

Open Access

Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity 5

Moussa Bachraoui, Mohamed Ait Ichou, Khalid Hattaf and Noura Yousfi

Published online: 08 February 2021

DOI: https://doi.org/10.1051/mmnp/2020058

Mathematical Models and Methods in Epidemiology

Open Access

Hopf bifurcation for an SIR model with age structure 7

Hui Cao, Dongxue Yan and Xiaxia Xu

Published online: 03 March 2021

DOI: https://doi.org/10.1051/mmnp/2021003

Open Access

Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment 13

Jayanta Kumar Ghosh, Prahlad Majumdar and Uttam Ghosh

Published online: 22 March 2021

DOI: https://doi.org/10.1051/mmnp/2021004

Open Access

Owner-Intruder contests with information asymmetry 17

Jay Bisen, Faheem Farooq, Manaeil Hasan, Akhil Patel, Jan Rychtář and Dewey Taylor

Published online: 23 March 2021

DOI: https://doi.org/10.1051/mmnp/2021006

Open Access

Modelling coffee leaf rust dynamics to control its spread 26

Clotilde Djuikem, Frédéric Grognard, Roger Tagne Wafo, Suzanne Touzeau and Samuel Bowong

Published online: 28 April 2021

DOI: https://doi.org/10.1051/mmnp/2021018

Open Access

Dynamics of a Vector-Borne model with direct transmission and age of infection 28

Necibe Tuncer and Sunil Giri

Published online: 29 April 2021

DOI: https://doi.org/10.1051/mmnp/2021019

Open Access

Optimal intervention strategies of staged progression HIV infections through an age-structured model with probabilities of ART drop out 30

Mboya Ba, Ramsès Djidjou-Demasse, Mountaga Lam and Jean-Jules Tewa

Published online: 26 May 2021

DOI: https://doi.org/10.1051/mmnp/2021024

Open Access

Fair insurance premium rate in connected SEIR model under epidemic outbreak 34

Alexey A. Chernov, Aleksandr A. Shemendyuk and Mark Y. Kelbert

Published online: 04 June 2021

DOI: https://doi.org/10.1051/mmnp/2021028

Open Access

Reproduction number for an age of infection structured model 42

Carles Barril, Àngel Calsina, Sílvia Cuadrado and Jordi Ripoll

Published online: 23 June 2021

DOI: https://doi.org/10.1051/mmnp/2021033

Open Access

Effects of heterogeneity and global dynamics of weakly connected subpopulations 44

Derdei M. Bichara, Abderrahman Iggidr and Souad Yacheur

Published online: 28 June 2021

DOI: https://doi.org/10.1051/mmnp/2021034

Open Access

Threshold dynamics for a class of stochastic SIRS epidemic models with nonlinear incidence and Markovian switching 55

A. El Koufi, A. Bennar, N. Yousfi and M. Pitchaimani

Published online: 12 October 2021

DOI: https://doi.org/10.1051/mmnp/2021047

Fluid-structure interaction

Open Access

A partitioned numerical scheme for fluid–structure interaction with slip 8

Martina Bukač and Sunčica Čanić

Published online: 03 March 2021

DOI: https://doi.org/10.1051/mmnp/2020051

Open Access

Self-propelled motion of a rigid body inside a density dependent incompressible fluid 9

Š. Nečasová, M. Ramaswamy, A. Roy and A. Schlömerkemper

Published online: 03 March 2021

DOI: https://doi.org/10.1051/mmnp/2020052

Open Access

Parallel time-stepping for fluid–structure interactions 20

Nils Margenberg and Thomas Richter

Published online: 25 March 2021

DOI: https://doi.org/10.1051/mmnp/2021005

Open Access

Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity 22

Giovanni P. Galdi and Giusy Mazzone

Published online: 09 April 2021

DOI: https://doi.org/10.1051/mmnp/2020053

Open Access

A theoretical investigation of the frisbee motion of red blood cells in shear flow 23

Thierry Mignon and Simon Mendez

Published online: 21 April 2021

DOI: https://doi.org/10.1051/mmnp/2021014

Open Access

Numerical simulation of rigid particles in Stokes flow: lubrication correction for general shapes of particles 45

Aline Lefebvre-Lepot and Flore Nabet

Published online: 23 July 2021

DOI: https://doi.org/10.1051/mmnp/2021037

Nonlocal and delay equations

Open Access

Stability of neutral delay differential equations with applications in a model of human balancing 21

Alexander Domoshnitsky, Shai Levi, Ron Hay Kappel, Elena Litsyn and Roman Yavich

Published online: 09 April 2021

DOI: https://doi.org/10.1051/mmnp/2021008

Open Access

Asymptotic behavior of a BAM neural network with delays of distributed type 29

S. Othmani, N.-E. Tatar and A. Khemmoudj

Published online: 11 May 2021

DOI: https://doi.org/10.1051/mmnp/2021023

Reviews in mathematical modelling

Open Access

Non-constant positive solutions of a general Gause-type predator-prey system with self- and cross-diffusions 25

Pan Xue, Yunfeng Jia, Cuiping Ren and Xingjun Li

Published online: 21 April 2021

DOI: https://doi.org/10.1051/mmnp/2021017

Coronavirus: Scientific insights and societal aspects

Open Access

SIARD model and effect of lockdown on the dynamics of COVID-19 disease with non total immunity 31

M.A. Aziz-Alaoui, F. Najm and R. Yafia

Published online: 02 June 2021

DOI: https://doi.org/10.1051/mmnp/2021025

Open Access

A new approach to the dynamic modeling of an infectious disease 33

B. Shayak and Mohit M. Sharma

Published online: 04 June 2021

DOI: https://doi.org/10.1051/mmnp/2021026

Open Access

A mathematical assessment of the efficiency of quarantining and contact tracing in curbing the COVID-19 epidemic 53

Amaury Lambert

Published online: 05 October 2021

DOI: https://doi.org/10.1051/mmnp/2021042

Theory and applications of fractional differentiation

Open Access

Erratum

Corrigendum: New numerical approach for fractional differential equations 47

Abdon Atangana and Kolade M. Owolabi

Published online: 26 July 2021

DOI: https://doi.org/10.1051/mmnp/2021039

Open Access

Editorial

Editorial E1

Anne Ruimy, Vitaly Volpert and Amandine Veber

Published online: 25 January 2021

DOI: https://doi.org/10.1051/mmnp/2020048

Open Access

Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations 19

Yu Zhang and Yanyan Zhang

Published online: 23 March 2021

DOI: https://doi.org/10.1051/mmnp/2021011

Open Access

A stability theorem for equilibria of delay differential equations in a critical case with application to a model of cell evolution 36

Karim Amin, Irina Badralexi, Andrei Halanay and Ragheb Mghames

Published online: 07 June 2021

DOI: https://doi.org/10.1051/mmnp/2021021

Open Access

An extremal problem with applications to renewable energy production 37

Thomas Ashley, Emilio Carrizosa and Enrique Fernández-Cara

Published online: 15 June 2021

DOI: https://doi.org/10.1051/mmnp/2021029

Open Access

New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation 38

Hadi Rezazadeh, Muhammad Younis, Shafqat-Ur-Rehman, Mostafa Eslami, Muhammad Bilal and Usman Younas

Published online: 16 June 2021

DOI: https://doi.org/10.1051/mmnp/2021001

Open Access

Invariant measure of stochastic higher order KdV equation driven by Poisson processes 51

Pengfei Xu, Jianhua Huang and Wei Yan

Published online: 17 September 2021

DOI: https://doi.org/10.1051/mmnp/2021041

Open Access

On well-posedness associated with a class of controlled variational inequalities 52

Savin Treanţă and Shalini Jha

Published online: 17 September 2021

DOI: https://doi.org/10.1051/mmnp/2021046

Open Access

Analysis of phase waves in the ECoG data 54

Alexandre Aksenov and Anne Beuter

Published online: 06 October 2021

DOI: https://doi.org/10.1051/mmnp/2021045

Open Access

Mathematical analysis of an age structured epidemic model with a quarantine class 57

Zakya Sari, Tarik Mohammed Touaoula and Bedreddine Ainseba

Published online: 03 November 2021

DOI: https://doi.org/10.1051/mmnp/2021049

Open Access

Nonlinear state-dependent pulse control for an SIRS epidemic model with varying size and its application to the transmission of brucellosis 58

Lin-Fei Nie, Fuwei Zhang and Lin Hu

Published online: 09 November 2021

DOI: https://doi.org/10.1051/mmnp/2021050

Mathematical Modelling of Natural Phenomena

Volume 16 (2021)

Controlling of longwave oscillatory Marangoni patterns on a rhombic lattice 1

Controlling oscillator coherence by multiple delay feedback 6

Chimeras on a social-type network 15

Bifurcation control of a minimal model of marine plankton interaction with multiple delays 16

A review of fluid instabilities and control strategies with applications in microgravity 24

Effect of charge modulation on the electroconvective flow of a low conducting liquid 35

Control of fingering instability by vibrations 40

Dynamics and control of loop reactors: a review 43

Control of traveling localized spots 46

Mixing control in a continuous-flow microreactor using electro-osmotic flow 49

Design optimisation of labyrinth seals using LES 2

A cellular automaton model for a pedestrian flow problem 11

Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system 3

New aspects of fractional Bloch model associated with composite fractional derivative 10

Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data 12

On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative 18

Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations 27

Travelling waves solution for fractional-order biological population model 32

A generalized kinetic model of the advection-dispersion process in a sorbing medium 39

On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space 41

A computational study of transmission dynamics for dengue fever with a fractional approach 48

Investigation of COVID-19 mathematical model under fractional order derivative 50

Multiobjective approach in the treatment of cancer 4

Memory effects on the proliferative function in the cycle-specific of chemotherapy 14

Three-dimensional phase field model for actin-based cell membrane dynamics 56

Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity 5

Hopf bifurcation for an SIR model with age structure 7

Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment 13

Owner-Intruder contests with information asymmetry 17

Modelling coffee leaf rust dynamics to control its spread 26

Dynamics of a Vector-Borne model with direct transmission and age of infection 28

Optimal intervention strategies of staged progression HIV infections through an age-structured model with probabilities of ART drop out 30

Fair insurance premium rate in connected SEIR model under epidemic outbreak 34

Reproduction number for an age of infection structured model 42

Effects of heterogeneity and global dynamics of weakly connected subpopulations 44

Threshold dynamics for a class of stochastic SIRS epidemic models with nonlinear incidence and Markovian switching 55

A partitioned numerical scheme for fluid–structure interaction with slip 8

Self-propelled motion of a rigid body inside a density dependent incompressible fluid 9

Parallel time-stepping for fluid–structure interactions 20

Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity 22

A theoretical investigation of the frisbee motion of red blood cells in shear flow 23

Numerical simulation of rigid particles in Stokes flow: lubrication correction for general shapes of particles 45

Stability of neutral delay differential equations with applications in a model of human balancing 21

Asymptotic behavior of a BAM neural network with delays of distributed type 29

Non-constant positive solutions of a general Gause-type predator-prey system with self- and cross-diffusions 25

SIARD model and effect of lockdown on the dynamics of COVID-19 disease with non total immunity 31

A new approach to the dynamic modeling of an infectious disease 33

A mathematical assessment of the efficiency of quarantining and contact tracing in curbing the COVID-19 epidemic 53

Corrigendum: New numerical approach for fractional differential equations 47

Editorial E1

Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations 19

A stability theorem for equilibria of delay differential equations in a critical case with application to a model of cell evolution 36

An extremal problem with applications to renewable energy production 37

New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation 38

Invariant measure of stochastic higher order KdV equation driven by Poisson processes 51

On well-posedness associated with a class of controlled variational inequalities 52

Analysis of phase waves in the ECoG data 54

Mathematical analysis of an age structured epidemic model with a quarantine class 57

Nonlinear state-dependent pulse control for an SIRS epidemic model with varying size and its application to the transmission of brucellosis 58