Modelling and analysis of integrated pest management strategy

By Sanyi Tang, Lansun Chen. 2004

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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.

Subfields: Ecology, Evolution, Behavior and Systematics, Plant Science, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/6265859b2d16ddae47474241b5658c0264bd590d