Global stability and bifurcation of a COVID-19 virus modeling with possible loss of the immunity

2020 ◽  
Author(s):  
Murtadha M. Abdulkadhim ◽  
Hassan Fadhil Al-Husseiny
Keyword(s):  
Global Stability ◽  
Stability And Bifurcation

Global stability and bifurcation of time delayed prey–predator system incorporating prey refuge

2012 ◽  
Vol 85 ◽  
pp. 57-77 ◽  
Author(s):  
Soovoojeet Jana ◽  
Milon Chakraborty ◽  
Kunal Chakraborty ◽  
T.K. Kar
Keyword(s):  
Global Stability ◽  
Prey Refuge ◽  
Stability And Bifurcation ◽  
Predator System

scholarly journals On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission

2004 ◽  
Vol 2004 (56) ◽  
pp. 2971-2987 ◽  
Author(s):  
M. M. A. El-Sheikh ◽  
S. A. A. El-Marouf
Keyword(s):  
Hopf Bifurcation ◽  
Global Stability ◽  
Vertical Transmission ◽  
Epidemic Model ◽  
Center Manifold ◽  
Three Dimensional ◽  
Stability And Bifurcation ◽  
The Stability ◽  
Bifurcation Of Solutions

A four-dimensional SEIR epidemic model is considered. The stability of the equilibria is established. Hopf bifurcation and center manifold theories are applied for a reduced three-dimensional epidemic model. The boundedness, dissipativity, persistence, global stability, and Hopf-Andronov-Poincaré bifurcation for the four-dimensional epidemic model are studied.

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