Stability of discrete one-dimensional population models
β Scribed by Paul Cull
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 657 KB
- Volume
- 50
- Category
- Article
- ISSN
- 1522-9602
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Local stability seems to imply global stability for population models. To investigate this claim, we formally define a population model. This definition seems to include the onedimensional discrete models now in use. We derive a necessary and sufficient condition for the global stability of our defi
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 c