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Time-limited pest control of a Lotka–Volterra model with impulsive harvest

✍ Scribed by Hongjian Guo; Lansun Chen

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
645 KB
Volume
10
Category
Article
ISSN
1468-1218

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✦ Synopsis

A kind of time-limited pest control of a Lotka-Volterra model with impulsive harvest, described by the initial and boundary value problem of impulsive differential equation, is presented. The aim of pest control can be achieved if the model has a solution, otherwise the aim cannot be achieved. By the comparison principle, the conditions under which the model has a solution are found by a series of the upper solutions and the conditions under which the model has no solution are also given by a series of the lower solutions. Furthermore, if the other parameters are given, the times of harvesting pest in the given time is estimated. The theoretical results and the numerical simulations show that the density of the natural enemy will decrease when the pest decreases although the control measures to the pest do not directly affect the natural enemy. Finally, some discussions are given.

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