A general model is considered for the growth of a single species population which describes the per unit growth rate as a general functional of past population sizes. Solutions near equilibrium are studied as function of epsilon = 1/b, the reciprocal of the inherent per unit growth rate b of the pop
Global stability in time-delayed single-species dynamics
β Scribed by H.I. Freedman; K. Gopalsamy
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 476 KB
- Volume
- 48
- Category
- Article
- ISSN
- 1522-9602
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β¦ Synopsis
Criteria are established for three classes of models of single-species dynamics with a singie discrete delay to have a globally asymptotically stable positive equilibrium independent of the length of delay.
I. Introduction.
In this paper we consider three classes of models of single-species dynamics with a discrete time delay. It is generally known that such models may exhibit oscillations (Hutchinson
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