Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841919 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 9 Pages |
Abstract
A differential delay equation model with a discrete time delay and a distributed time delay is introduced to simulate zooplankton–nutrient interaction. The differential inequalities’ methods and standard Hopf bifurcation analysis are applied. Some sufficient conditions are obtained for persistence and for the global stability of the unique positive steady state, respectively. It was shown that there is a Hopf bifurcation in the model by using the discrete time delay as a bifurcation parameter.
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Authors
Lin Li, Zhicheng Liu,