Abstract:

The differential delay model, which is introduced to simulate zooplankton-nutrient interaction, of the form is studied, where is the concentration of nutrient, is a measure of zooplankton population at time t and parameter are positive constants. If , and hold, then the positive steady state of this system is globally attractive. Some sufficient conditions on local stability of the steady state of the model are given.

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Key words: differential delay equations, global stability, zooplankton model