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Oscillation and global attractivity in a periodic Nicholson's blowflies model

✍ Scribed by S.H Saker; S Agarwal

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 908 KB
Volume: 35
Category: Article
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(02)00043-2

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✦ Synopsis

In this paper, we shall consider the nonlinear delay differential equation N'(t) = -b(t)N(t) + P(t)N(t -m~)e-'"N(t--mw), (*)

where m is a positive integer, J(t) and P(t) are positive periodic functions of period w. In the nondelay case, we shall show that (*) has a unique positive periodic solution n(t), and provide sufficient conditions for the global attractivity of N(t). In the delay case, we shall present sufficient conditions for the oscillation of all positive solutions of (*) about m(t), and establish sufficient conditions for the global attractivity of m(t).

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