Stable periodic solutions in a discrete periodic logistic equation
โ Scribed by Zhan Zhou; Xingfu Zou
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 312 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
In this paper, we consider a discrete logistic equation
where {r(n)} and {K(n)} are positive w-periodic sequences. Sufficient conditions are obtained for the existence of a positive and globally asymptotically stable w-periodic solution. Counterexamples are given to illustrate that the conclusions in [1] are incorrect. (~) 2003 Elsevier Science Ltd. All rights reserved.
๐ SIMILAR VOLUMES
Consider the delayed periodic logistic equation, which describes the evolution of a single species. The existence of a positive periodic solution is established by using the method of coincidence degree.
By using a fixed point theorem of strict-set-contraction, some criteria are established for the existence of positive periodic solutions for a periodic neutral functional differential equation with impulses of the form