Abstract
The asymptotic properties of the impulsive Beverton-Holt difference equation Xn+1 = αnxn/1 + B nxn Xpk+ = bkX pk - dk, n,k = 1,2,..., where p is a fixed positive integer, are considered. The results are applied to an impulsive logistic equation with non-constant coefficients ẋ(t) = x(t)(r(t) - a(t)x(t)), x(τk) = bkx(τk-) - d k, limτkk→∞ = ∞ In particular, sufficient extinction and non-extinction conditions are obtained for both equations.
Original language | English |
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Pages (from-to) | 851-868 |
Number of pages | 18 |
Journal | Journal of Difference Equations and Applications |
Volume | 10 |
Issue number | 9 |
DOIs | |
State | Published - 10 Aug 2004 |
Keywords
- Asymptotic behavior
- Beverton-Holt difference equation
- Impulsive harvesting
- Logistic equations
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics