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Global attractivity in a population model with nonlinear death rate and distributed delays
Journal article   Open access  Peer reviewed

Global attractivity in a population model with nonlinear death rate and distributed delays

Hassan A. El-Morshedy
Journal of mathematical analysis and applications, Vol.410(2), pp.642-658
15/02/2014
DOI: https://doi.org/10.1016/j.jmaa.2013.08.060

Abstract

Distributed delays First order difference equations Global attractivity Mackey–Glass model Nicholson blowflies model Nonlinear death rate
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.
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https://doi.org/10.1016/j.jmaa.2013.08.060View
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