A system of state-dependent delay differential equation modeling forest growth I: semiflow properties

2018 ◽  
Vol 18 (4) ◽  
pp. 1853-1888
Author(s):  
Pierre Magal ◽  
Zhengyang Zhang
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Forest Growth ◽  
Equation Modeling ◽  
State Dependent ◽  
State Dependent Delay ◽  
Differential Equation Modeling ◽  
Delay Differential

scholarly journals An analysis on the stability of a state dependent delay differential equation

2016 ◽  
Vol 14 (1) ◽  
pp. 425-435 ◽  
Author(s):  
Sertaç Erman ◽  
Ali Demir
Keyword(s):  
Differential Equation ◽  
Delay Differential Equation ◽  
Existence And Uniqueness ◽  
Uniqueness Of Solutions ◽  
Delay Term ◽  
State Dependent ◽  
State Dependent Delay ◽  
The Stability ◽  
Delay Differential ◽  
Equation With Delay

AbstractIn this paper, we present an analysis for the stability of a differential equation with state-dependent delay. We establish existence and uniqueness of solutions of differential equation with delay term $\tau (u(t)) = \frac{{a + bu(t)}}{{c + bu(t)}}.$ Moreover, we put the some restrictions for the positivity of delay term τ(u(t)) Based on the boundedness of delay term, we obtain stability criterion in terms of the parameters of the equation.

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