Title
Existence of positive periodic solutions of nonlinear discrete model exhibiting the Allee effect
Abstract
In this paper we shall consider the discrete nonlinear delay population model with Allee effectx(n+1)=x(n)exp(a(n)+b(n)x^p(n-@w)-c(n)x^q(n-@w)),where a(n), b(n) and c(n) are positive sequences of period @w and p and q are positive integers. By using the coincidence degree theorem as well as some priori estimates we will establish a sufficient condition for the existence of positive periodic solution {x"n^*}.
Year
DOI
Venue
2005
10.1016/j.amc.2004.10.005
Applied Mathematics and Computation
Keywords
Field
DocType
sufficient condition,positive integer,discrete population model,positive periodic solution,periodic,nonoscillation,coincidence degree theorem,positive sequence,discrete nonlinear delay population,nonlinear discrete model,allee effectx,allee effect,population model
Integer,Mathematical optimization,Nonlinear system,Non linear model,Coincidence,Allee effect,Numerical analysis,Population model,Periodic graph (geometry),Mathematics
Journal
Volume
Issue
ISSN
168
2
Applied Mathematics and Computation
Citations 
PageRank 
References 
4
0.61
2
Authors
2
Name
Order
Citations
PageRank
Y. G. Sun1112.40
S. H. Saker24419.32