6 citations · 6 across the 4 of their papers we have counts for
5 papers
Influence of Large Mean Delay on Distributed Delay Differential Equations Dynamics: Application to a Neural Mass Model
Isam Al-Darabsah, Sue Ann Campbell, Bootan Rahman
Delay differential equations (DDEs) with large delays play a pivotal role in understanding stability and bifurcations in systems ranging from neural networks to laser dynamics. Whi…
Distributed Delay and Desynchronization in a Brain Network Model
Isam Al-Darabsah, Sue Ann Campbell, Bootan Rahman
We consider a neural field model which consists of a network of an arbitrary number of Wilson-Cowan nodes with homeostatic adjustment of the inhibitory coupling strength and time d…
Stability Analysis of A Single-Species Model with Distributed Delay
Isam Al-Darabsah
The logistic equation has many applications and is used frequently in different fields, such as biology, medicine, and economics. In this paper, we study the stability of a single-…
M-current Induced Bogdanov-Takens Bifurcation and Switching of Neuron Excitability Class
Isam Al-Darabsah, Sue Ann Campbell
In this work, we consider a general conductance-based neuron model with the inclusion of the acetycholine sensitive, M-current. We study bifurcations in the parameter space consist…
A Phase Model with Large Time Delayed Coupling
Isam Al-Darabsah, Sue Ann Campbell
We consider two identical oscillators with weak, time delayed coupling. We start with a general system of delay differential equations then reduce it to a phase model. With the ass…