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math.DS2019★ 2 cited
Conley index methods detecting bifurcations in a modified van der Pol oscillator appearing in heart action models
Ibrahim Jawarneh, Ross Staffeldt
In this paper, a modified van der Pol oscillator equation is considered which appears in several heart action models. We study its global dynamics and verify many interesting bifur…
math.DS2018
A Nutrient-Prey-Predator Model: Stability and Bifurcations
Mary Ballyk, Ibrahim Jawarneh, Ross Staffeldt
In this paper we consider a model of a nutrient-prey-predator system in a chemostat with general functional responses, using the input concentration of nutrient as the bifurcation…