Electronic Journal of Qualitative Theory of Differential Equations (Jun 2016)
Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rate
Abstract
This paper is concerned with a non-autonomous delayed Nicholson's blowflies model with an oscillating death rate. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential convergence of the zero equilibrium point for this model. The obtained result improves and supplements existing ones. We also use numerical simulations to demonstrate our theoretical results.
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