Chaotic Discrete Fractional-Order Food Chain Model and Hybrid Image Encryption Scheme Application
Using the discrete fractional calculus, a novel discrete fractional-order food chain model for the case of strong pressure on preys map is proposed. Dynamical behaviors of the model involving stability analysis of its equilibrium points, bifurcation diagrams and phase portraits are investigated. It...
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doaj-4592cfab3886420ab1b83251658d44482021-01-22T00:01:42ZengMDPI AGSymmetry2073-89942021-01-011316116110.3390/sym13020161Chaotic Discrete Fractional-Order Food Chain Model and Hybrid Image Encryption Scheme ApplicationSameh Askar0Abdulrahman Al-khedhairi1Amr Elsonbaty2Abdelalim Elsadany3Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, EgyptBasic Science Department, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, EgyptUsing the discrete fractional calculus, a novel discrete fractional-order food chain model for the case of strong pressure on preys map is proposed. Dynamical behaviors of the model involving stability analysis of its equilibrium points, bifurcation diagrams and phase portraits are investigated. It is demonstrated that the model can exhibit a variety of dynamical behaviors including stable steady states, periodic and quasiperiodic dynamics. Then, a hybrid encryption scheme based on chaotic behavior of the model along with elliptic curve key exchange scheme is proposed for colored plain images. The hybrid scheme combines the characteristics of noise-like chaotic dynamics of the map, including high sensitivity to values of parameters, with the advantages of reliable elliptic curves-based encryption systems. Security analysis assures the efficiency of the proposed algorithm and validates its robustness and efficiency against possible types of attacks.https://www.mdpi.com/2073-8994/13/2/161fractional-order mapfood chain modelhybrid encryption schemeelliptic curves |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sameh Askar Abdulrahman Al-khedhairi Amr Elsonbaty Abdelalim Elsadany |
spellingShingle |
Sameh Askar Abdulrahman Al-khedhairi Amr Elsonbaty Abdelalim Elsadany Chaotic Discrete Fractional-Order Food Chain Model and Hybrid Image Encryption Scheme Application Symmetry fractional-order map food chain model hybrid encryption scheme elliptic curves |
author_facet |
Sameh Askar Abdulrahman Al-khedhairi Amr Elsonbaty Abdelalim Elsadany |
author_sort |
Sameh Askar |
title |
Chaotic Discrete Fractional-Order Food Chain Model and Hybrid Image Encryption Scheme Application |
title_short |
Chaotic Discrete Fractional-Order Food Chain Model and Hybrid Image Encryption Scheme Application |
title_full |
Chaotic Discrete Fractional-Order Food Chain Model and Hybrid Image Encryption Scheme Application |
title_fullStr |
Chaotic Discrete Fractional-Order Food Chain Model and Hybrid Image Encryption Scheme Application |
title_full_unstemmed |
Chaotic Discrete Fractional-Order Food Chain Model and Hybrid Image Encryption Scheme Application |
title_sort |
chaotic discrete fractional-order food chain model and hybrid image encryption scheme application |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2021-01-01 |
description |
Using the discrete fractional calculus, a novel discrete fractional-order food chain model for the case of strong pressure on preys map is proposed. Dynamical behaviors of the model involving stability analysis of its equilibrium points, bifurcation diagrams and phase portraits are investigated. It is demonstrated that the model can exhibit a variety of dynamical behaviors including stable steady states, periodic and quasiperiodic dynamics. Then, a hybrid encryption scheme based on chaotic behavior of the model along with elliptic curve key exchange scheme is proposed for colored plain images. The hybrid scheme combines the characteristics of noise-like chaotic dynamics of the map, including high sensitivity to values of parameters, with the advantages of reliable elliptic curves-based encryption systems. Security analysis assures the efficiency of the proposed algorithm and validates its robustness and efficiency against possible types of attacks. |
topic |
fractional-order map food chain model hybrid encryption scheme elliptic curves |
url |
https://www.mdpi.com/2073-8994/13/2/161 |
work_keys_str_mv |
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