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On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation

✍ Scribed by István Győri; Sergei I. Trofimchuk

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
106 KB
Volume
48
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we investigate the delay di erential equation Ṅ (t) = -N (t) + pN (t -)e -aN (t-) ; t ≥ 0;

(1.1) which was used by Gurney et al. [5] (see also [3,4] and references therein) to describe the dynamics of Nicholson blow ies. In our consideration we assume without further mention that ¿ 0; p¿0; a¿0 and ¿ 0 are given constants. Let x : [ ; ∞) → R be a continuous function.

📜 SIMILAR VOLUMES

Existence of time periodic solutions for
Existence of time periodic solutions for the Nicholson's blowflies model with Newtonian diffusion
✍ Ying Yang; Ran Zhang; Chunhua Jin; Jingxue Yin 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 241 KB 👁 1 views

## Abstract This paper is concerned with the existence of periodic solutions of the Nicholson's blowflies model with Newtonian diffusion. By constructing some suitable Lyapunov functionals and combining with Leray–Schauder fixed point theorem, we establish the existence of nonnegative time periodic