Delay differential logistic equation with linear harvesting
β Scribed by Juan Cui; Hong-Xu Li
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 173 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1468-1218
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β¦ Synopsis
In this paper, we consider a logistic delay equation with a linear delay harvesting term of the following form:
in both cases when b 0 = 0 and b 0 = 0. We present some results on the boundedness and positiveness of the solutions of this equation without the condition that N 0 is upper bounded by some constant which is necessary to the corresponding results in [L. Berezansky, E. Braverman, L. Idels, Delay differential logistic equation with harvesting, Math. Comput. Modelling 40 (2004) 1509-1525], and our results extend these known results.
π SIMILAR VOLUMES
For the equation, we obtain the following results: boundednees of all positive solutions, extinction, and persistence conditions. The proofs employ recent results in the theory of linear delay equations with positive and negative coefficients.
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