Global attractivity in Nicholson’s blowflies

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1996 English Publisher:Springer Science and Business Media LLCJournal:Applied Mathematics, volume 11, pages 425-434 (issn: 1005-1031, eissn: 1993-0445,

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Authors: Li, Jingwen;

doi: 10.1007/bf02662882

Global attractivity in Nicholson’s blowflies

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Abstract

The author studies the delay differential equation \[ N'(t)=-\delta N(t)+pN(t-\tau)\exp(-aN(t-\tau)),\quad t\geq0, \] used in describing the dynamics of Nicholson's blowflies. When \(p>\delta\), he establishes sufficient conditions for the global attractivity of the nontrivial equilibrium.

Keywords

Stability theory of functional-differential equations, Nicholson's blowflies, delay differential equation, global attractivity, Attractors of solutions to ordinary differential equations

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