Discrete Dynamics in Nature and Society

Stability and Bifurcation Analysis of Discrete Dynamical Systems 2020


Publishing date
01 Dec 2020
Status
Published
Submission deadline
24 Jul 2020

1University of Azad Jammu and Kashmir, Muzaffarabad, Pakistan

2King Khalid University, Abha, Saudi Arabia

3Riphah International University, Lahore, Pakistan


Stability and Bifurcation Analysis of Discrete Dynamical Systems 2020

Description

Discrete dynamical systems are described by difference equations and potentially have applications in many areas like probability theory, economics, biology, computer science, control engineering, genetics, signal processing, population dynamics, health sciences, ecology, physiology and physics etc. The study of such systems has a direct impact on human sciences such as ecosystem, health, population dynamics and decision making etc. This motivated a number of researchers to study the behavior of these systems in recent years. By the behavior of such systems means studying equilibrium points, local and global dynamics about equilibrium points, existence of prime-period and periodic points, prime-period two solutions, Forbidden set, boundedness and persistence, existence and uniqueness of positive equilibrium points, existence of local and global bifurcation, chaos control, hybrid control and many more.

The aim of this Special Issue is to provide a platform to disseminate original research in the field of discrete dynamical systems described by difference equations. The researchers can contribute their original work that addresses any aspect of stability and bifurcations analysis of discrete dynamical systems, and can include the study of bifurcations and chaos in discrete-time models from economics, biology, ecology, and physics, etc.

Potential topics include but are not limited to the following:

  • Boundedness and persistence of positive solution
  • Local and global dynamics about the equilibrium point
  • Lyapunov stability analysis
  • Existence of prime periods and periodic points
  • Calculation of Forbidden set
  • Local and global bifurcation analysis of some discrete-time models from economics, biology, population dynamics, ecology, physiology and physics, etc

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 9821615
  • - Editorial

Stability and Bifurcation Analysis of Discrete Dynamical Systems 2020

Abdul Qadeer Khan | Tarek F. Ibrahim | Abdul Khaliq
  • Special Issue
  • - Volume 2020
  • - Article ID 5908976
  • - Review Article

Stability and Hopf Bifurcation of a Generalized Chikungunya Virus Infection Model with Two Modes of Transmission and Delays

Hajar Besbassi | Khalid Hattaf | Noura Yousfi
  • Special Issue
  • - Volume 2020
  • - Article ID 6591523
  • - Research Article

Existence of Solutions for the Discrete Dirichlet Problem Involving -Mean Curvature Operator

Jianxia Wang | Zhan Zhou
  • Special Issue
  • - Volume 2020
  • - Article ID 3094185
  • - Research Article

On Stability Analysis of Higher-Order Rational Difference Equation

Abdul Khaliq | H. S. Alayachi | ... | A. Q. Khan
  • Special Issue
  • - Volume 2020
  • - Article ID 3891057
  • - Research Article

Lyapunov Stability Analysis of a Delayed Foot-and-Mouth Disease Model with Animal Vaccination

Tinashe B. Gashirai | Senelani D. Hove-Musekwa | Steady Mushayabasa
  • Special Issue
  • - Volume 2020
  • - Article ID 6254013
  • - Research Article

Stability, Neimark–Sacker Bifurcation, and Approximation of the Invariant Curve of Certain Homogeneous Second-Order Fractional Difference Equation

Mirela Garić-Demirović | Samra Moranjkić | ... | Zehra Nurkanović
  • Special Issue
  • - Volume 2020
  • - Article ID 3189515
  • - Research Article

Global Stability for a Semidiscrete Logistic System with Feedback Control

Li Xu | Shanshan Lou | Ruiwen Han
  • Special Issue
  • - Volume 2020
  • - Article ID 9464532
  • - Research Article

Periodic Property and Asymptotic Behavior for a Discrete Ratio-Dependent Food-Chain System with Delays

Changjin Xu | Peiluan Li | Maoxin Liao
  • Special Issue
  • - Volume 2020
  • - Article ID 3696874
  • - Research Article

Global Dynamical Properties of Rational Higher-Order System of Difference Equations

A. Q. Khan | S. M. Qureshi
  • Special Issue
  • - Volume 2020
  • - Article ID 2012680
  • - Research Article

Dynamic Analysis and Chaos Control of Bertrand Triopoly Based on Differentiated Products and Heterogeneous Expectations

Liuwei Zhao
Discrete Dynamics in Nature and Society
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Acceptance rate38%
Submission to final decision53 days
Acceptance to publication25 days
CiteScore1.600
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Impact Factor1.457
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Article of the Year Award: Outstanding research contributions of 2021, as selected by our Chief Editors. Read the winning articles.