๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Global stability of population models with patch structure

โœ Scribed by Yasuhiro Takeuchi; Wendi Wang; Yasuhisa Saito

Book ID
108225915
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
212 KB
Volume
7
Category
Article
ISSN
1468-1218

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Global stability of population models
Global stability of population models
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

Local and global stability for populatio
Local and global stability for population models
โœ P. Cull ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 814 KB

In general, local stability does not imply global stability. We show that this is true even if one only considers population models. We show that a population model is globally stable if and only if it has no cycle of period 2. We also derive easy to test sufficient conditions for global stability.