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Existence of time periodic solutions for the Nicholson's blowflies model with Newtonian diffusion
Author(s) -
Yang Ying,
Zhang Ran,
Jin Chunhua,
Yin Jingxue
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1228
Subject(s) - mathematics , fixed point theorem , mathematical analysis , diffusion , schauder fixed point theorem , calculus (dental) , picard–lindelöf theorem , physics , thermodynamics , medicine , dentistry
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 solutions. Copyright © 2009 John Wiley & Sons, Ltd.