The global stability of a discrete population model of Volterra type is studied. The model incorporates time delays and allows for a fluctuating environment. By linearization of the model at positive solutions and construction of Liapunov functionals, sufficient conditions are obtained to ensure a p
Conditions for global stability of two-species population models with discrete time delay
β Scribed by V.P. Shukla
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 501 KB
- Volume
- 45
- Category
- Article
- ISSN
- 1522-9602
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β¦ Synopsis
By constructing appropriate Liapunov functionals, asymptotic behaviour of the solutions of various delay differential systems describing prey-predator, competition and symbiosis models has been studied. It has been shown that equilibrium states of these models are globally stable, provided certain conditions in terms of instantaneous and delay interaction coefficients are satisfied.
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