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
Some stability conditions for discrete-time single species models
β Scribed by M.E. Fisher; B.S. Goh; T.L. Vincent
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 573 KB
- Volume
- 41
- Category
- Article
- ISSN
- 1522-9602
No coin nor oath required. For personal study only.
β¦ Synopsis
Standard results relating to the stability of autonomous first order difference equations are restated here with slight modifications so as to apply directly to equations in which the state variable remains positive. Some simple and effective tests for both local and global stability of these first order difference equations are presented. The main results are illustrated with examples drawn from population biology.
π SIMILAR VOLUMES
This paper discusses the stabilization problem for single-input discrete-time planar switched systems. We establish necessary and sufficient conditions for the stabilization of planar switched systems. A series of linear inequalities are presented for describing the set of all common quadratic Lyapu