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Global stability of population models

โœ Scribed by Paul Cull


Book ID
112754371
Publisher
Springer
Year
1981
Tongue
English
Weight
519 KB
Volume
43
Category
Article
ISSN
1522-9602

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โœ Paul Cull ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› Springer ๐ŸŒ English โš– 481 KB

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

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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