Local Bifurcation Analysis of a Fractional-Order Dynamic Model of Genetic Regulatory Networks with Delays

2017 ◽  
Vol 47 (3) ◽  
pp. 1285-1296 ◽  
Author(s):  
Qingshan Sun ◽  
Min Xiao ◽  
Binbin Tao
Keyword(s):  
Dynamic Model ◽  
Fractional Order ◽  
Bifurcation Analysis ◽  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Local Bifurcation ◽  
Local Bifurcation Analysis

scholarly journals The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission

2016 ◽  
Vol 2016 ◽  
pp. 1-16 ◽  
Author(s):  
Raid Kamel Naji ◽  
Reem Mudar Hussien
Keyword(s):  
Infectious Diseases ◽  
Vertical Transmission ◽  
Bifurcation Analysis ◽  
Epidemic Model ◽  
Reproduction Number ◽  
Equilibrium Points ◽  
Host Population ◽  
Local Bifurcation ◽  
Local Bifurcation Analysis ◽  
Different Types

An epidemic model that describes the dynamics of the spread of infectious diseases is proposed. Two different types of infectious diseases that spread through both horizontal and vertical transmission in the host population are considered. The basic reproduction numberR0is determined. The local and the global stability of all possible equilibrium points are achieved. The local bifurcation analysis and Hopf bifurcation analysis for the four-dimensional epidemic model are studied. Numerical simulations are used to confirm our obtained analytical results.

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