کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1138840 | 1489197 | 2008 | 20 صفحه PDF | دانلود رایگان |
The objective of this paper is to systematically study the qualitative behavior of solutions of the nonlinear delay population model x(n+1)=x(n)exp(−p(n)+q(n)r+xm(n−ω)),n=0,1,…, where p(n)p(n) and q(n)q(n) are positive periodic sequences of period ω,mω,m, and ωω are positive integers and ω>1ω>1. First, by using the continuation theorem in conincidence degree theory, we establish a sufficient condition for the existence of a positive ωω-periodic solution x¯(n) with strictly positive components. Second, we establish some sufficient conditions for oscillation of the positive solutions about a periodic solution. Finally, we give an estimation of the lower and upper bounds of the oscillatory solutions and establish some sufficient conditions for the global attractivity of {x¯(n)}. Some illustrative examples are included to demonstrate the validity and applicability of the results.
Journal: Mathematical and Computer Modelling - Volume 47, Issues 3–4, February 2008, Pages 278–297