In this paper, we investigate the following discrete periodic stage-structure model. The sufficient and realistic conditions are obtained for the existence of a positive periodic solution of this system.
Periodic solutions of a single species discrete population model with periodic harvest/stock
β Scribed by R.Y. Zhang; Z.C. Wang; Y. Chen; J. Wu
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 653 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
We discuss a discrete population model describing single species growth with periodic harvest/stock. The theory of coincidence degree is applied to show that the model equation admits two periodic solutions. Under minor technical assumptions, we show that one of these two periodic solutions is positive and attracts almost all positive solutions.~
π SIMILAR VOLUMES
In this paper, we employ some new techniques to study the existence of positive periodic solutions of the neutral delay model Our result gives a correct answer to the open problem 9.2 due to Y. Kuang
## Abstract A delayed periodic LotkaβVolterra type population model with __m__ predators and __n__ preys is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, sufficient conditions are derived for the exist