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math.DS2020
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…
math.DS2019
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…
math.DS2015
An NPZ Model with State-Dependent Delay due to Size-Structure in Juvenile Zooplankton
M. Kloosterman, S. A. Campbell, F. J. Poulin
The study of planktonic ecosystems is important as they make up the bottom trophic levels of aquatic food webs. We study a closed Nutrient-Phytoplankton-Zooplankton (NPZ) model tha…