Name
Title | ||
|---|---|---|
Periodic solutions, oscillation and attractivity of discrete nonlinear delay population model |
Abstract | ||
|---|---|---|
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+x^m(n-@w)),n=0,1,..., where p(n) and q(n) are positive periodic sequences of period @w,m, and @w are positive integers and @w1. First, by using the continuation theorem in conincidence degree theory, we establish a sufficient condition for the existence of a positive @w-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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.mcm.2007.04.007 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
global attractivity,sufficient condition,conincidence degree theory,oscillation,positive solution,continuation theorem,positive component,periodic solutions,periodic solution,positive integer,oscillatory solution,discrete population model,w-periodic solution,discrete nonlinear delay population,positive periodic sequence,oscillations,population model | Integer,Oscillation,Nonlinear system,Upper and lower bounds,Continuation theorem,Mathematical analysis,Pure mathematics,Non linear model,Periodic graph (geometry),Population model,Mathematics,Calculus | Journal |
Volume | Issue | ISSN |
47 | 3-4 | Mathematical and Computer Modelling |
Citations | PageRank | References |
1 | 0.38 | 11 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| S. H. Saker | 1 | 44 | 19.32 |