Study On A Non-autonomous Pest Management Strategy Model With Resistance Development

Pests often have a negative impact on human life,production or their crops and livestock,which in turn affect the social economic and ecological balance.Therefore,the study of pest management has great significance to human life and social development.In this paper,on the basis of impulsive differential equations,considering the residual effect of pesticides,pest resistance to pesticides and seasonal changes of pest population over time,a non-autonomous single-species pest control model with chemical control and a non-autonomous pest-nature enemy model with chemical control and biological control are established,and we give the corresponding pest control strategies,respectively.The first chapter gives preliminary knowledge related to this article.In the second chapter,considering that the residual effect of pesticides on pest populations,excessive and long-term use of the same pesticide will make pests resistant to pesticides and the pest population is seasonal change over time,a non-autonomous single-species pest management model with resistance development under the influence of pesticide function is established.The critical condition of pest extinction is obtained.Numerical simulations show that the critical value R0(n,Tp)will be more than 1 when pesticides are sprayed for some time.This shows that the long-term excessive use of the same pesticide will make the pests resistant to pesticides and cause the pest population to re-erupt at a faster rate.Therefore,on the basis of the above model,a pest management model for periodic switching pesticides is established.Further,the critical condition of pest extinction under the strategy of switching pesticide is given.The spraying times of each pesticide for making the pest extinct is given by the critical value R1(TN).In the third chapter,based on the second chapter,the nature enemies are introduced.Combining the chemical and biological control,a non-autonomous integrated pest control model with the resistance development under the influence of pesticide function is established.A sufficient condition for the global attractiveness of the pest-extinction periodic solution is given.The sensitivity analysis of main parameters of the critical value R01(n,TP)for controlling the extinction of the pest are performed by numerical simulations.It shows that parameters m1,r have great influences on the pest control,parameters ?,?1 have less effects on the pest control and p,d have almost no effect on pest control.According to the critical value R01(n,Tp),the natural enemies allocation strategy for the extinction of the pest population is given.Further,based on the above model,an integrated pest control model for the periodic switching pesticides is established.The critical condition of pest extinction under the strategy of switching pesticide is given.The spraying times of each pesticide for making the pest extinct is given by the critical value R2(TN).