scholarly journals Stability analysis of fractional order model on corona transmission dynamics

2021 ◽  
Vol 143 ◽  
pp. 110628
Author(s):  
Evren Hincal ◽  
Sultan Hamed Alsaadi
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Transmission Dynamics ◽  
Order Model ◽  
Fractional Order Model

Mathematical and stability Analysis of Fractional Order Model for Spread of Pests in Tea Plants

Fractals ◽  
2020 ◽  
Author(s):  
Zain Ul Abadin Zafar ◽  
Zahir Shah ◽  
Nigar Ali ◽  
Ebraheem O. Alzahrani ◽  
Meshal Shutaywi
Keyword(s):  
Stability Analysis ◽  
Fractional Order ◽  
Order Model ◽  
Fractional Order Model ◽  
Tea Plants

scholarly journals A fractional-order love dynamical model with time delay for synergic couple : Stability analysis and Hopf bifurcation

2021 ◽  
Author(s):  
SANTOSHI PANIGRAHI ◽  
Sunita Chand ◽  
S Balamuralitharan
Keyword(s):  
Stability Analysis ◽  
Hopf Bifurcation ◽  
Time Delay ◽  
Fractional Order ◽  
Reproduction Number ◽  
Equilibrium Points ◽  
Order Model ◽  
Fractional Order Model ◽  
The Stability ◽  
The Impact

We investigate the fractional order love dynamic model with time delay for synergic couples in this manuscript. The quantitative analysis of the model has been done where the asymptotic stability of the equilibrium points of the model have been analyzed. Under the impact of time delay, the Hopf bifurcation analysis of the model has been done. The stability analysis of the model has been studied with the reproduction number less than or greater than 1. By using Laplace transformation, the analysis of the model has been done. The analysis shows that the fractional order model with a time delay can sufficiently improve the components and invigorate the outcomes for either stable or unstable criteria. In this model, all unstable cases are converted to stable cases under neighbourhood points. For all parameters, the reproduction ranges have been described. Finally, to illustrate our derived results numerical simulations have been carried out by using MATLAB. Under the theoretical outcomes from parameter estimation, the love dynamical system is verified.

scholarly journals Stability Analysis of a Fractional-Order Model for Abstinence Behavior of Registration on the Electoral Lists

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
O. Balatif ◽  
L. Boujallal ◽  
A. Labzai ◽  
M. Rachik
Keyword(s):  
Stability Analysis ◽  
Theoretical Analysis ◽  
Global Stability ◽  
Fractional Order ◽  
Lyapunov Functions ◽  
Negative Influence ◽  
Parameter Setting ◽  
Order Model ◽  
Fractional Order Model ◽  
The Right

In this work, we propose a fractional-order model that describes the dynamics of citizens who have the right to register on the electoral lists and the negative influence of abstainers on the potential electors. By using Routh–Hurwitz criteria and constructing Lyapunov functions, the local and the global stability of abstaining-free equilibrium and abstaining equilibrium are obtained. Finally, some numerical simulations are performed to verify the theoretical analysis, and they are given for different parameter setting of the order of derivative α.

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