Global attractivity in nonautonomous logistic equations with delay

2008 ◽  
Vol 9 (1) ◽  
pp. 53-63 ◽  
Author(s):  
Benedetta Lisena
Keyword(s):  
Global Attractivity ◽  
Logistic Equations ◽  
Equations With Delay

scholarly journals Convergence of a Logistic Type Ultradiscrete Model

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
Masaki Sekiguchi ◽  
Emiko Ishiwata ◽  
Yukihiko Nakata
Keyword(s):  
Time Delay ◽  
Difference Equation ◽  
Discrete Time ◽  
Stability Property ◽  
Global Attractivity ◽  
Piecewise Linear ◽  
Linear Difference Equation ◽  
Logistic Equation ◽  
Logistic Equations ◽  
Globally Stable

We derive a piecewise linear difference equation from logistic equations with time delay by ultradiscretization. The logistic equation that we consider in this paper has been shown to be globally stable in the continuous and discrete time formulations. Here, we study if ultradiscretization preserves the global stability property, analyzing the asymptotic behaviour of the obtained piecewise linear difference equation. It is shown that our piecewise linear difference equation has a threshold property concerning global attractivity of equilibria, similar to the stable logistic equations with time delay.

scholarly journals Neumann trace tracking of a constant reference input for 1-D boundary controlled heat-like equations with delay

2020 ◽  
Vol 53 (2) ◽  
pp. 7716-7721
Author(s):  
Hugo Lhachemi ◽  
Christophe Prieur ◽  
Emmanuel Trélat
Keyword(s):  
Equations With Delay ◽  
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