Mathematical modelling
A novel numerical approach for distributed order time fractional COVID-19 virus model

Mohsen Khasteh; Amir Hossein Refahi Sheikhani; Farhad Shariffar

Articles in Press, Accepted Manuscript, Available Online from 22 January 2022

http://dx.doi.org/10.22105/jarie.2022.305182.1381

Abstract
  In this paper, we proposed a numerical approach to solve a distributed order time fractional COVID 19 virus model. The fractional derivatives are shown in the Caputo-Prabhakar contains generalized Mittag-Leffler Kernel. The coronavirus 19 disease model has 8 Inger diets leading to system of 8 nonlinear ...  Read More

Mathematical modelling
A new dynamical behaviour modeling for a four-level supply chain: control and synchronization of hyperchaotic

Seyyed Mohamad Hamidzadeh; Mohsen Rezaei; Mehdi Ranjbar-Bourani

Volume 9, Issue 2 , June 2022, , Pages 288-301

http://dx.doi.org/10.22105/jarie.2022.314293.1400

Abstract
  This paper, presents a mathematical model of a four-level supply chain under hyperchaos circumstances. The analysis of this model shows that the hyper-chaotic supply chain has an unstable equilibrium point. Using Lyapunov's theory of stability, the problem of designing a hyperchaotic supply chain control ...  Read More

Mathematical modelling
A fully implicit non-standard finite difference scheme for one dimensional Burgers' equation

Abdolrahman Yaghoobi; Hashem Saberi Najafi

Volume 7, Issue 3 , September 2020, , Pages 301-312

http://dx.doi.org/10.22105/jarie.2021.244715.1188

Abstract
  In this paper we have studied a numerical approximation to the solution of the nonlinear Burgers' equation. The presented scheme is obtained by using the Non-Standard Finite Difference Method (NSFD). The use of NSFD method and its approximations play an important role for the formation of stable numerical ...  Read More

Mathematical modelling
Addendum to "A generalized Nash equilibrium for a bio-economic problem of fishing"

Imane Agmour; Naceur Achtaich; Youssef EL Foutayeni; Mohamed Khaladi; Abdelmounaim Zegzouti

Volume 4, Issue 2 , October 2017, , Pages 75-76

http://dx.doi.org/10.22105/jarie.2017.100848.1023

Abstract
  In [1] the authors have set up a bio-economic equilibrium model to understand the interactions between three fish populations and seek to maximize the profits of fishermen. The authors then studied the existence of stationary states and their stability using eigenvalue analysis. This is not correct in ...  Read More