Population dynamics of insect pests of butterfly catastrophe model and analysis
LI Zhena · Journal of Northwest A&F University · 2012
【Objective】 The study was to analyze the conditions and mechanisms of quantity catastrophe in the pest population by using butterfly catastrophe model.【Method】 The pest population dynamic butterfly mutation model affected by the predators,environment,weather,pesticides and vegetation was constructed by adding the factor of pesticide on the basis of the pest population dynamic model,then the equilibrium points and system potential functions of each control space generated by the bifurcation set of the swallowtail catastrophe were studied.【Result】 The population dynamics of insect of butterfly catastrophe model was established,phenomena such as size eruption and dynamic lag was described by using butterfly catastrophe theory,and the pest population dynamics of butterfly mutation characteristics was explained.Ideas and methods of pest control were provided.【Conclusion】 The established pest populations dynamic model can explain the insects of the population dynamics of butterfly catastrophe characteristics.