Delay differential logistic equations with harvesting
โ Scribed by L. Berezansky; E. Braverman; L. Idels
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 869 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0895-7177
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๐ SIMILAR VOLUMES
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 so
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.
A new criterion is established for the existence of positive periodic solutions to the following delay logistic equation: where r (t), a(t), b(t) are periodic continuous functions, a(t) > 0, b(t) โฅ 0 and r (t) has positive average.