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Global Stability of Discrete Population Models with Time Delays and Fluctuating Environment

✍ Scribed by Wang Wendi; G. Mulone; F. Salemi; V. Salone


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
139 KB
Volume
264
Category
Article
ISSN
0022-247X

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✦ Synopsis


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 positive solution of the model is stable and attracts all positive solutions.