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Some stability conditions for discrete-time single species models

โœ Scribed by M. E. Fisher; B. S. Goh; T. L. Vincent

Book ID
112754648
Publisher
Springer
Year
1979
Tongue
English
Weight
573 KB
Volume
41
Category
Article
ISSN
1522-9602

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๐Ÿ“œ SIMILAR VOLUMES

Some stability conditions for discrete-t
Some stability conditions for discrete-time single species models
โœ M.E. Fisher; B.S. Goh; T.L. Vincent ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Springer ๐ŸŒ English โš– 573 KB

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

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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