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The effects of impulsive harvest on a predator–prey system with distributed time delay

✍ Scribed by Hongjian Guo; Lansun Chen

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
448 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

A kind of predator-prey system with distributed time delay and impulsive harvest is firstly presented and then the effects of impulsive harvest on the system are discussed by means of chain transform. By using the Floquet's theory and the comparison theorem of impulsive differential equation, the thresholds between permanence and extinction of each species are obtained as functions of model parameters. It is proved that the impulsive period and the proportion of the impulsive harvest will ultimately affect the fate of each species. Finally, the theoretical results obtained in this paper are confirmed by numerical simulations.

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