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Mathematical modelling of natural phenomena
Volume 16 (2021)
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Controlling of longwave oscillatory Marangoni patterns on a rhombic lattice
Anna Samoilova; Alexander Nepomnyashchy
article no. 1

Controlling oscillator coherence by multiple delay feedback
Denis S. Goldobin; Elizaveta V. Shklyaeva
article no. 6

Chimeras on a social-type network
Arkady Pikovsky
article no. 15

Bifurcation control of a minimal model of marine plankton interaction with multiple delays
Zhichao Jiang; Maoyan Jie
article no. 16

A review of fluid instabilities and control strategies with applications in microgravity
J. Porter; P. Salgado Sánchez; V. Shevtsova; V. Yasnou
article no. 24

Effect of charge modulation on the electroconvective flow of a low conducting liquid
Oleg O. Nekrasov; Boris L. Smorodin
article no. 35

Control of fingering instability by vibrations
Tatyana Lyubimova; Andrey Ivantsov; Dmitry Lyubimov
article no. 40

Dynamics and control of loop reactors: a review
Moshe Sheintuch; Olga Nekhamkina
article no. 43

Control of traveling localized spots
S. Martens; C. Ryll; J. Löber; F. Tröltzsch; H. Engel
article no. 46

Mixing control in a continuous-flow microreactor using electro-osmotic flow
Ramil Siraev; Pavel Ilyushin; Dmitry Bratsun
article no. 49

Design optimisation of labyrinth seals using LES
J.C. Tyacke; Y. Dai; R. Watson; P.G. Tucker
article no. 2

A cellular automaton model for a pedestrian flow problem
Jiří Felcman; Petr Kubera
article no. 11

Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system
Ercan Balci; Senol Kartal; Ilhan Ozturk
article no. 3

New aspects of fractional Bloch model associated with composite fractional derivative
Jagdev Singh; Devendra Kumar; Dumitru Baleanu
article no. 10

Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data
Lijuan Nong; An Chen; Jianxiong Cao
article no. 12

On the initial value problem for fractional Volterra integrodifferential equations with a Caputo–Fabrizio derivative
Nguyen Huy Tuan; Nguyen Anh Tuan; Donal O’Regan; Vo Viet Tri
article no. 18

Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations
Nguyen Duc Phuong; Nguyen Anh Tuan; Devendra Kumar; Nguyen Huy Tuan
article no. 27

Travelling waves solution for fractional-order biological population model
Hassan Khan; Rasool Shah; J.F. Gómez-Aguilar; Shoaib; Dumitru Baleanu; Poom Kumam
article no. 32

A generalized kinetic model of the advection-dispersion process in a sorbing medium
Dumitru Vieru; Constantin Fetecau; Najma Ahmed; Nehad Ali Shah
article no. 39

On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space
Mohammed Al-Smadi; Hemen Dutta; Shatha Hasan; Shaher Momani
article no. 41

A computational study of transmission dynamics for dengue fever with a fractional approach
Sunil Kumar; R.P. Chauhan; Jagdev Singh; Devendra Kumar
article no. 48

Investigation of COVID-19 mathematical model under fractional order derivative
Kamal Shah; Muhammad Arfan; Wejdan Deebani; Meshal Shutaywi; Dumitru Baleanu
article no. 50

Multiobjective approach in the treatment of cancer
Soukaina Sabir; Nadia Raissi; Mustapha Serhani
article no. 4

Memory effects on the proliferative function in the cycle-specific of chemotherapy
Najma Ahmed; Dumitru Vieru; F.D. Zaman
article no. 14

Three-dimensional phase field model for actin-based cell membrane dynamics
Mohammad Abu Hamed; Alexander A. Nepomnyashchy
article no. 56

Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity
Moussa Bachraoui; Mohamed Ait Ichou; Khalid Hattaf; Noura Yousfi
article no. 5

Hopf bifurcation for an SIR model with age structure
Hui Cao; Dongxue Yan; Xiaxia Xu
article no. 7

Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment
Jayanta Kumar Ghosh; Prahlad Majumdar; Uttam Ghosh
article no. 13

Owner-Intruder contests with information asymmetry
Jay Bisen; Faheem Farooq; Manaeil Hasan; Akhil Patel; Jan Rychtář; Dewey Taylor
article no. 17

Modelling coffee leaf rust dynamics to control its spread
Clotilde Djuikem; Frédéric Grognard; Roger Tagne Wafo; Suzanne Touzeau; Samuel Bowong
article no. 26

Dynamics of a Vector-Borne model with direct transmission and age of infection
Necibe Tuncer; Sunil Giri
article no. 28

Optimal intervention strategies of staged progression HIV infections through an age-structured model with probabilities of ART drop out
Mboya Ba; Ramsès Djidjou-Demasse; Mountaga Lam; Jean-Jules Tewa
article no. 30

Fair insurance premium rate in connected SEIR model under epidemic outbreak
Alexey A. Chernov; Aleksandr A. Shemendyuk; Mark Y. Kelbert
article no. 34

Reproduction number for an age of infection structured model
Carles Barril; Àngel Calsina; Sílvia Cuadrado; Jordi Ripoll
article no. 42

Effects of heterogeneity and global dynamics of weakly connected subpopulations
Derdei M. Bichara; Abderrahman Iggidr; Souad Yacheur
article no. 44

Threshold dynamics for a class of stochastic SIRS epidemic models with nonlinear incidence and Markovian switching
A. El Koufi; A. Bennar; N. Yousfi; M. Pitchaimani
article no. 55

A partitioned numerical scheme for fluid–structure interaction with slip
Martina Bukač; Sunčica Čanić
article no. 8

Self-propelled motion of a rigid body inside a density dependent incompressible fluid
Š. Nečasová; M. Ramaswamy; A. Roy; A. Schlömerkemper
article no. 9

Parallel time-stepping for fluid–structure interactions
Nils Margenberg; Thomas Richter
article no. 20

Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity
Giovanni P. Galdi; Giusy Mazzone
article no. 22

A theoretical investigation of the frisbee motion of red blood cells in shear flow
Thierry Mignon; Simon Mendez
article no. 23

Numerical simulation of rigid particles in Stokes flow: lubrication correction for general shapes of particles
Aline Lefebvre-Lepot; Flore Nabet
article no. 45

Stability of neutral delay differential equations with applications in a model of human balancing
Alexander Domoshnitsky; Shai Levi; Ron Hay Kappel; Elena Litsyn; Roman Yavich
article no. 21

Asymptotic behavior of a BAM neural network with delays of distributed type
S. Othmani; N.-E. Tatar; A. Khemmoudj
article no. 29

Non-constant positive solutions of a general Gause-type predator-prey system with self- and cross-diffusions
Pan Xue; Yunfeng Jia; Cuiping Ren; Xingjun Li
article no. 25

SIARD model and effect of lockdown on the dynamics of COVID-19 disease with non total immunity
M.A. Aziz-Alaoui; F. Najm; R. Yafia
article no. 31

A new approach to the dynamic modeling of an infectious disease
B. Shayak; Mohit M. Sharma
article no. 33

A mathematical assessment of the efficiency of quarantining and contact tracing in curbing the COVID-19 epidemic
Amaury Lambert
article no. 53

Corrigendum: New numerical approach for fractional differential equations
Abdon Atangana; Kolade M. Owolabi
article no. 47

Editorial
Anne Ruimy; Vitaly Volpert; Amandine Veber
article no. E1

Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations
Yu Zhang; Yanyan Zhang
article no. 19

A stability theorem for equilibria of delay differential equations in a critical case with application to a model of cell evolution
Karim Amin; Irina Badralexi; Andrei Halanay; Ragheb Mghames
article no. 36

An extremal problem with applications to renewable energy production
Thomas Ashley; Emilio Carrizosa; Enrique Fernández-Cara
article no. 37

New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation
Hadi Rezazadeh; Muhammad Younis; Shafqat-Ur-Rehman; Mostafa Eslami; Muhammad Bilal; Usman Younas
article no. 38

Invariant measure of stochastic higher order KdV equation driven by Poisson processes
Pengfei Xu; Jianhua Huang; Wei Yan
article no. 51

On well-posedness associated with a class of controlled variational inequalities
Savin Treanţă; Shalini Jha
article no. 52

Analysis of phase waves in the ECoG data
Alexandre Aksenov; Anne Beuter
article no. 54

Mathematical analysis of an age structured epidemic model with a quarantine class
Zakya Sari; Tarik Mohammed Touaoula; Bedreddine Ainseba
article no. 57

Nonlinear state-dependent pulse control for an SIRS epidemic model with varying size and its application to the transmission of brucellosis
Lin-Fei Nie; Fuwei Zhang; Lin Hu
article no. 58
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