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Global attractivity in a population model with nonlinear death rate and distributed delays
Authors:Hassan A. El-Morshedy
Affiliation:Department of Mathematics, Faculty of Science, Damietta University, Damietta, New Damietta 34517, Egypt
Abstract:We study the global attractivity of the unique positive equilibrium of a population model with distributed delays and nonlinear death rate. Both delay dependent and delay independent criteria are obtained which generalize, unify and improve known criteria. These results will be applied to some models with bounded and unbounded death functions.
Keywords:Distributed delays   Nonlinear death rate   Global attractivity   Mackey&ndash  Glass model   Nicholson blowflies model   First order difference equations
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