The dynamical theory of food webs has been based typically on local stability analysis. The relevance of local stability to food web properties has been questioned because local stability holds only in the immediate vicinity of the equilibrium and provides no information about the size of the basin
Persistence and Global Stability in a Population Model
β Scribed by K Gopalsamy; Pingzhou Liu
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 215 KB
- Volume
- 224
- Category
- Article
- ISSN
- 0022-247X
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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
A simple population model is presented that exhibits both the period-doubling and the quasi-periodic routes to chaos with the variation of a single parameter. This fact is exploited to contrast the relative robustness of the two routes against structural perturbations in the form of added immigratio
A delayed Gause-type predatorαprey system without dominating instantaneous negative feedbacks is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing a suitable Lyapunov functional, sufficient conditions are derived for the lo
A delayed nonautonomous three-species predator-prey Lotka-Volterra system without dominating instantaneous negative feedback is investigated. It is proved that the system is uniformly persistent under appropriate conditions. By constructing a suitable Lyapunov functional, sufficient conditions are d