Dynamical analysis of two fractional-order SIQRA malware propagation models and their discretizations

2022 ◽  
Author(s):  
Manh Tuan Hoang
Keyword(s):  
Fractional Order ◽  
Dynamical Analysis ◽  
Propagation Models ◽  
Malware Propagation

scholarly journals Bifurcation of a Fractional-Order Delayed Malware Propagation Model in Social Networks

2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Changjin Xu ◽  
Maoxin Liao ◽  
Peiluan Li
Keyword(s):  
Hopf Bifurcation ◽  
Network Security ◽  
Fractional Order ◽  
Rapid Development ◽  
Sufficient Conditions ◽  
Propagation Model ◽  
The Internet ◽  
Propagation Models ◽  
Malware Propagation ◽  
The Stability

In recent years, with the rapid development of the Internet and the Internet of Things, network security is urgently needed. Malware becomes a major threat to network security. Thus, the study on malware propagation model plays an important role in network security. In the past few decades, numerous researchers put up various kinds of malware propagation models to analyze the dynamic interaction. However, many works are only concerned with the integer-order malware propagation models, while the investigation on fractional-order ones is very few. In this paper, based on the earlier works, we will put up a new fractional-order delayed malware propagation model. Letting the delay be bifurcation parameter and analyzing the corresponding characteristic equations of considered system, we will establish a set of new sufficient conditions to guarantee the stability and the existence of Hopf bifurcation of fractional-order delayed malware propagation model. The study shows that the delay and the fractional order have important effect on the stability and Hopf bifurcation of considered system. To check the correctness of theoretical analyses, we carry out some computer simulations. At last, a simple conclusion is drawn. The derived results of this paper are completely innovative and play an important guiding role in network security.

Dynamical analysis of a fractional-order foot-and-mouth disease model

2021 ◽  
Vol 15 (1) ◽  
pp. 65-82
Author(s):  
Tinashe B. Gashirai ◽  
Senelani D. Hove-Musekwa ◽  
Steady Mushayabasa
Keyword(s):  
Fractional Order ◽  
Disease Model ◽  
Foot And Mouth Disease ◽  
Mouth Disease ◽  
Dynamical Analysis ◽  
Foot And Mouth

Dynamical analysis of the improper fractional-order 2D-SCLMM and its DSP implementation

2021 ◽  
Vol 136 (5) ◽  
Author(s):  
Tianming Liu ◽  
Santo Banerjee ◽  
Huizhen Yan ◽  
Jun Mou
Keyword(s):  
Fractional Order ◽  
Dynamical Analysis ◽  
Dsp Implementation

scholarly journals Dynamical analysis of fractional-order of IVGTT glucose-insulin interaction

2020 ◽  
Author(s):  
Sayed Saber ◽  
Mansoor Alshehri ◽  
Faisal Duraihem ◽  
Mohamed Abdelkawy
Keyword(s):  
Fractional Order ◽  
Dynamical Analysis

An exponential jerk system, its fractional-order form with dynamical analysis and engineering application

2019 ◽  
Vol 24 (10) ◽  
pp. 7469-7479 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Akif Akgul ◽  
Sajad Jafari ◽  
Anitha Karthikeyan ◽  
Unal Cavusoglu ◽  
...  
Keyword(s):  
Fractional Order ◽  
Engineering Application ◽  
Dynamical Analysis ◽  
Order Form ◽  
Jerk System

Dynamical analysis of Mathieu equation with two kinds of van der Pol fractional-order terms

2016 ◽  
Vol 84 ◽  
pp. 130-138 ◽  
Author(s):  
Shaofang Wen ◽  
Yongjun Shen ◽  
Xianghong Li ◽  
Shaopu Yang
Keyword(s):  
Fractional Order ◽  
Mathieu Equation ◽  
Dynamical Analysis ◽  
Van Der Pol
Sign in / Sign up

Export Citation Format

Share Document