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A predator–prey system with two impulses on the diseased prey and a Beddington–DeAngelis response

✍ Scribed by Xia Wang; Xinyu Song

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
158 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by Ding

A predator-prey system with two impulses on the diseased prey is formulated and analyzed for the purpose of integrated pest management. The local and global stability of the susceptible pest-eradication periodic solution, as well as the permanence of the system, are obtained under the sufficient conditions by means of Floquet's theory for impulsive differential equations. Finally, we interpret our mathematical results.

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