Global asymptotic stability for Nicholson’s blowflies model with a nonlinear density-dependent mortality term

Yi Tang

Applied Mathematics and Computation, 2015, vol. 250, issue C, 854-859

Abstract: In this paper, we study a generalized Nicholson’s blowflies model with a nonlinear density-dependent mortality term, which is defined on the nonnegative function space. Under proper conditions, we employ a novel proof to establish some criteria to guarantee the global asymptotic stability of the zero equilibrium point for this model. Moreover, we give an example and its numerical simulation to illustrate our main results.

Keywords: Nicholson’s blowflies model; Nonlinear density-dependent mortality term; Time-varying delay; Global stability (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:854-859

DOI: 10.1016/j.amc.2014.10.115

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