Modelling and analysis of integrated pest management strategy
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Two impulsive models concerning integrated pest management(IPM)
are proposed according to impulsive effect with fixed moments and
unfixed moments, respectively. The first model has the potential
to protect the natural enemies from extinction, but under some
conditions may also serve to extinction of the pest. The second
model is constructed according to the practices of IPM, that is,
when the pest population reaching the economic injury level, a
combination of biological, cultural, and chemical tactics that
reduce pests to tolerable levels is used. By using analytical
method, we show that there exists an orbitally asymptotically
stable periodic solution with a maximum value no larger than the
given economic threshold. Further, the complete expression of
period of the periodic solution is given. Thus, IPM strategy
proved firstly by mathematical models is more effective than the
classical method.