This paper reviews some recent advances in single population stochastic differential equation growth models. They are a natural way to model population growth in a randomly varying environment. The question of which calculus, It6 or Sttatonovich, is preferable is addressed. The two calculi coincide
โฆ LIBER โฆ
Stability for multispecies population models in random environments
โ Scribed by Thomas C. Gard
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 598 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
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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.