On Adjustment Costs and the Stability of Equilibria

1985 ◽  
Vol 52 (4) ◽  
pp. 575 ◽  
Author(s):  
W. Bentley Macleod
Keyword(s):  
Adjustment Costs ◽  
Stability Of Equilibria ◽  
The Stability

Stability and Bifurcation in an SI Epidemic Model with Additive Allee Effect and Time Delay

2021 ◽  
Vol 31 (04) ◽  
pp. 2150060
Author(s):  
Yangyang Lv ◽  
Lijuan Chen ◽  
Fengde Chen ◽  
Zhong Li
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Epidemic Model ◽  
Existence And Uniqueness ◽  
Allee Effect ◽  
Stability Of Equilibria ◽  
Existence And Stability ◽  
Vital Effects ◽  
Strong Allee Effect ◽  
The Stability

In this paper, we consider an SI epidemic model incorporating additive Allee effect and time delay. The primary purpose of this paper is to study the dynamics of the above system. Firstly, for the model without time delay, we demonstrate the existence and stability of equilibria for three different cases, i.e. with weak Allee effect, with strong Allee effect, and in the critical case. We also investigate the existence and uniqueness of Hopf bifurcation and limit cycle. Secondly, for the model with time delay, the stability of equilibria and the existence of Hopf bifurcation are discussed. All the above show that both additive Allee effect and time delay have vital effects on the prevalence of the disease.

scholarly journals The stability of equilibria under selection

Heredity ◽  
1971 ◽  
Vol 27 (2) ◽  
pp. 157-162 ◽  
Author(s):  
M G Bulmer
Keyword(s):  
Stability Of Equilibria ◽  
The Stability
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