Article ID Journal Published Year Pages File Type
9506816 Applied Mathematics and Computation 2005 14 Pages PDF
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)xp(n-ω)-c(n)xq(n-ω)),where a(n), b(n) and c(n) are positive sequences of period ω and p and q are positive integers. We will establish some sufficient conditions for the oscillation of all positive solutions about its positive periodic solution xn∗ and prove that every nonoscillatory solution converges to {xn∗} monotonically as n → ∞.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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