[HTML][HTML] Methods of quantifying interactions among populations using Lotka-Volterra models

JD Davis, DV Olivença, SP Brown… - Frontiers in Systems …, 2022 - frontiersin.org
The Lotka-Volterra (LV) model was introduced in the early 20th Century to describe predator-
prey systems. Since then, the model has been expanded to capture the dynamics of …

Fractional investigation of bank data with fractal-fractional Caputo derivative

Z Li, Z Liu, MA Khan - Chaos, Solitons & Fractals, 2020 - Elsevier
A novel investigation for banking data through mathematical model with a novel operator
known as fractal-fractional in the sense of Caputo derivative is presented. We present the …

[HTML][HTML] Analysis and numerical simulation of fractional model of bank data with fractal–fractional Atangana–Baleanu derivative

W Wang, MA Khan - Journal of Computational and Applied Mathematics, 2020 - Elsevier
The main focus of this paper is to investigate the dynamics of the competition between rural
and commercial bank with in the framework of fractal–fractional Atangana–Baleanu …

[HTML][HTML] A dynamic competition analysis of stochastic fractional differential equation arising in finance via pseudospectral method

I Ali, SU Khan - Mathematics, 2023 - mdpi.com
This research focuses on the analysis of the competitive model used in the banking sector
based on the stochastic fractional differential equation. For the approximate solution, a …

[HTML][HTML] Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator

A Atangana, MA Khan - Alexandria Engineering Journal, 2020 - Elsevier
The present paper consider a newly introduced operator known as fractal-fractional where
the fractional operator considered is Caputo-Fabrizio. We consider a competition system …

Market share dynamics using Lotka–Volterra models

A Marasco, A Picucci, A Romano - Technological forecasting and social …, 2016 - Elsevier
Although competition in the marketplace is inherently dynamic and firms change their
competitive behavior over time, firms' competitive struggle is generally described using …

A fractional model for the dynamics of competition between commercial and rural banks in Indonesia

MA Khan, M Azizah, S Ullah - Chaos, Solitons & Fractals, 2019 - Elsevier
In the present paper, we propose a mathematical model that describes the dynamics of
competition between commercial and rural banks in Indonesia through two different …

A comparison study of bank data in fractional calculus

W Wang, MA Khan, P Kumam, P Thounthong - Chaos, Solitons & Fractals, 2019 - Elsevier
The present paper investigate the dynamics of the bank data through a competition model
with real field data for the year 2004–2014. Initially, we formulate a competition model for the …

[HTML][HTML] Winner-takes-all or co-evolution among platform ecosystems: A look at the competitive and symbiotic actions of complementors

Y Inoue - Sustainability, 2019 - mdpi.com
Technological platforms such as hardware or systems form platform ecosystems, which are
communities orchestrated by platform providers, outside complementors such as software …

[PDF][PDF] Modelling of commercial banks capitals competition dynamics

N Arabov, D Nasimov, H Khuzhayorov… - Int. J. Early Child …, 2022 - academia.edu
According to the observations in this paper, an existing mathematical model of banking
capital dynamics should be tweaked. First-order ordinary differential equations with a" …