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Oscillation in a discrete partial delay Nicholson's Blowflies Model

✍ Scribed by S.H. Saker; B.G. Zhang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
405 KB
Volume
36
Category
Article
ISSN
0895-7177

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✦ Synopsis

In this paper, we shall consider the discrete partial delay Nicholson's blowflies model Pmt1,n + Pm,n+l -Pm., = -6P,,, + gPm_o,n_re-aP""-'."-~, (*)

where P,,, represents the size of population at time m and site n, 6, a, and p are positive constants. and g and T are nonnegative integers. We prove that every positive solution of (*) which does not oscillate about the positive equilibrium point P* converges to P* as m,n + co, and present some sufficient conditions for oscillation of all positive solutions about P'.

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