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Global attractivity in Nicholson’s blowflies

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Abstract

In this paper we further study the delay differential equation

$$\dot N\left( t \right) = - \delta N\left( t \right) + pN\left( {t - \tau } \right)e^{ - aN\left( {t - \tau } \right)} , t \geqslant 0$$
(*)

used in describing the dynamics of Nicholson’s blowflies. Whenp > δ, we establish new sufficient conditions for the positive equilibriumN* of (*) which is a global attractor. Our criteria improve correspondent results obtained by Kulenovic, Ladas and Sficas [1], and So and Yu [2].

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References

  1. Kulenovic, M. R. S., Ladas, G. and Sficas, Y. G., Global attractivity in Nicholson’s blowflies,Applicable Analysis,43 (1992), 109–124.

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Authors and Affiliations

  1. Department of Mathematics, Shaoyang Teacher’s College, Shaoyang, 422000, Hunan

    Li Jingwen

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  1. Li Jingwen
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Additional information

1991MR Subject Classification: 34D45.

This work was supported by Science Foundation of Hunan Educational Committee.

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Jingwen, L. Global attractivity in Nicholson’s blowflies. Appl. Math. 11, 425–434 (1996). https://doi.org/10.1007/BF02662882

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  • DOI: https://doi.org/10.1007/BF02662882

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