Search Results - "Elsadany, A. A."
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On Reservoir Computing Approach for Digital Image Encryption and Forecasting of Hyperchaotic Finance Model
Published in Fractal and fractional (01-04-2023)“…Forecasting the dynamical behaviors of nonlinear systems over long time intervals represents a great challenge for scientists and has become a very active area…”
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Stability, multi-stability and instability in Cournot duopoly game with knowledge spillover effects and relative profit maximization
Published in Chaos, solitons and fractals (01-05-2021)“…•Knowledge spillover effect is introduced into game as a positive cost externality.•The enterprises in the market pursue relative profit maximization.•The…”
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Complex dynamical behavior and numerical simulation of a Cournot-Bertrand duopoly game with heterogeneous players
Published in Communications in nonlinear science & numerical simulation (01-10-2021)“…•A Cournot-Bertrand duopoly mixed competition model is established.•The stability conditions of the system are analyzed by numerical calculation and numerical…”
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Stability analysis and optimal control strategies of a fractional-order monkeypox virus infection model
Published in Physica scripta (01-09-2023)“…In this study, the spread of the monkeypox virus is investigated through the dynamical study of a novel Caputo fractional order monkeypox epidemic model. The…”
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Nonlinear Dynamics of Cournot Duopoly Game: When One Firm Considers Social Welfare
Published in Discrete dynamics in nature and society (2021)“…In this paper, we study the competition between two firms whose outputs are quantities. The first firm considers maximization of its profit while the second…”
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Stability and Bifurcation Analysis of a Discrete Singular Bioeconomic System
Published in Discrete dynamics in nature and society (2021)“…The main concern of this paper is to discuss stability and bifurcation analysis for a class of discrete predator-prey interaction with Holling type II…”
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Dynamical analysis, stabilization and discretization of a chaotic fractional-order GLV model
Published in Nonlinear dynamics (01-08-2016)“…In this paper, the fractional-order generalized Lotka–Volterra (GLV) model and its discretization are investigated qualitatively. A sufficient condition for…”
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Dynamics and chaos control of a duopolistic Bertrand competitions under environmental taxes
Published in Annals of operations research (01-03-2019)“…This paper investigates the difference between price and quantity competition in a mixed duopoly game. We describe the behavior of a duopolistic Bertrand…”
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Dynamic Cournot oligopoly game based on general isoelastic demand
Published in Nonlinear dynamics (2020)“…This paper explores a nonlinear Cournot oligopoly with n firms displaying general isoelastic demand. The marginal profits-based gradient rule and the…”
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Stability, bifurcation analysis and chaos control of a discrete predator-prey system with square root functional response
Published in Chaos, solitons and fractals (01-12-2016)“…A discrete predator-prey system with square root functional response is presented. We study the existence and local stability analysis of the system. The…”
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Complexity and chaos control in a Cournot duopoly model based on bounded rationality and relative profit maximization
Published in Nonlinear dynamics (01-09-2023)“…The bifurcation analysis of a discrete two-dimensional map that models a Cournot duopoly model, based on bounded rationality and relative profit maximization,…”
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Dynamical behaviors of fractional-order Lotka–Volterra predator–prey model and its discretization
Published in Journal of applied mathematics & computing (01-10-2015)“…In this work, we study the dynamical behaviors of fractional-order Lotka–Volterra predator–prey system and its discretized counterpart. It is shown that the…”
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13
On Bertrand duopoly game with differentiated goods
Published in Applied mathematics and computation (15-01-2015)“…•Utility function of the form U(q1,q2)=q1α+q2α is introduced.•New dynamical Bertrand games are derived.•Stability conditions of equilibrium points are…”
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14
On the Fractional-Order Complex Cosine Map: Fractal Analysis, Julia Set Control and Synchronization
Published in Mathematics (Basel) (01-02-2023)“…In this paper, we introduce a generalized complex discrete fractional-order cosine map. Dynamical analysis of the proposed complex fractional order map is…”
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Wave solutions in (3 + 1)-dimensional generalized fractional mKdV-ZK equation utilizing jacobi elliptic functions
Published in Physica scripta (01-05-2024)“…In this research, we investigate the effects of fractional order on the (3 + 1)-dimensional generalized space-time fractional modified KdV-Zakharov-Kuznetsov…”
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16
Construction of shock, periodic and solitary wave solutions for fractional-time Gardner equation by Jacobi elliptic function method
Published in Optical and quantum electronics (01-03-2024)“…The investigation revolved around the study of the time fractional Gardner equation, which was examined in terms of the conformable derivative. The reduction…”
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Dynamics of a Heterogeneous Constraint Profit Maximization Duopoly Model Based on an Isoelastic Demand
Published in Complexity (New York, N.Y.) (2021)“…A Cournot duopoly game is a two-firm market where the aim is to maximize profits. It is rational for every company to maximize its profits with minimal sales…”
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Dynamics of diffusive modified Previte-Hoffman food web model
Published in Mathematical biosciences and engineering : MBE (15-06-2020)“…This paper formulates and analyzes a modified Previte-Hoffman food web with mixed functional responses. We investigate the existence, uniqueness, positivity…”
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Dynamical behavior of fractional-order Hastings–Powell food chain model and its discretization
Published in Communications in nonlinear science & numerical simulation (01-10-2015)“…•New discretization method for the fractional-order Hastings–Powell food chain model.•Existence and uniqueness of solutions of the proposed system are…”
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Dynamics of a delayed duopoly game with bounded rationality
Published in Mathematical and computer modelling (01-11-2010)“…A bounded rationality duopoly game with delay is formulated. Its dynamical evolution is analyzed. The existence of an economic equilibrium of the game is…”
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