Global attractivity of a population model with state-dependent delay

2003 ◽  
pp. 113-118
Author(s):  
Yuming Chen
Keyword(s):  
Population Model ◽  
Global Attractivity ◽  
State Dependent ◽  
State Dependent Delay

Oscillation and Global Attractivity in Stage-Structured Population Models

1993 ◽  
Vol 36 (2) ◽  
pp. 129-138
Author(s):  
Yulin Cao ◽  
H. I. Freedman
Keyword(s):  
Global Attractivity ◽  
Functional Differential Equations ◽  
Oscillatory Solutions ◽  
Structured Population Models ◽  
Structured Population ◽  
State Dependent ◽  
First Case ◽  
Retarded Functional Differential Equations ◽  
State Dependent Delay ◽  
Functional Differential

AbstractStage-structured models of population growth have been considered in the constant delay and state-dependent delay cases, when modeled by retarded functional differential equations. In the first case we settle a conjecture posed by Aiello and Freedman [1] by showing the existence of oscillatory solutions. In the second case, we show that under suitable criteria, all positive solutions tend to a global attractor.

scholarly journals Stability and Hopf Bifurcation for a Cell Population Model with State-Dependent Delay

2010 ◽  
Vol 70 (5) ◽  
pp. 1611-1633 ◽  
Author(s):  
Mostafa Adimy ◽  
Fabien Crauste ◽  
My Lhassan Hbid ◽  
Redouane Qesmi
Keyword(s):  
Hopf Bifurcation ◽  
Cell Population ◽  
Population Model ◽  
State Dependent ◽  
State Dependent Delay ◽  
A Cell

On fractional differential equations with state-dependent delay via Kuratowski measure of noncompactness

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 451-460 ◽  
Author(s):  
Mohammed Belmekki ◽  
Kheira Mekhalfi
Keyword(s):  
Differential Equations ◽  
Measure Of Noncompactness ◽  
Mild Solutions ◽  
Functional Differential Equations ◽  
Kuratowski Measure Of Noncompactness ◽  
State Dependent ◽  
State Dependent Delay ◽  
Liouville Fractional Derivative ◽  
Fractional Differential ◽  
Functional Differential

This paper is devoted to study the existence of mild solutions for semilinear functional differential equations with state-dependent delay involving the Riemann-Liouville fractional derivative in a Banach space and resolvent operator. The arguments are based upon M?nch?s fixed point theoremand the technique of measure of noncompactness.

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