Premium
Existence and exponential convergence of almost periodic positive solution for Nicholson's blowflies discrete model with linear harvesting term
Author(s) -
Yao Zhijian
Publication year - 2013
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.2979
Subject(s) - mathematics , contraction mapping , term (time) , exponential dichotomy , convergence (economics) , fixed point theorem , mathematical analysis , contraction (grammar) , exponential function , differential equation , medicine , physics , quantum mechanics , economic growth , economics
This paper deals with a discrete Nicholson's blowflies model with linear harvesting term. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique almost periodic positive solution. Moreover, we investigate exponential convergence of the almost periodic positive solution by Lyapunov functional. Copyright © 2013 John Wiley & Sons, Ltd.