A stochastic differential equation model for pest management

作者：Tan, Xuewen^*; Tang, Sanyi; Chen, Xiaozhou; Xiong, Lianglin; Liu, Xinzhi

来源：Advances in Difference Equations, 2017, 2017(1): 197.

DOI：10.1186/s13662-017-1251-x

• integrated pest management
• residual effects
• weakly persistence
• ultimate boundedness

In order to comprehend the effects of the duration of pesticide residual effectiveness on successful pest control, a stochastic integrated pest management (IPM) model with pesticides which have residual effects is proposed. Firstly, we show that our model has a global and positive solution and give its explicit expression when pest goes extinct. Then the sufficient conditions for pest extinction combined with the ones for the global attractivity of the pest solution only chemical control are established. Moreover, we also derive sufficient conditions for weak persistence which show that the solution of stochastic IPM models is stochastically ultimately bounded under some conditions.

• 出版日期2017-7-11
• 单位陕西师范大学