A stochastic predator–prey model for integrated pest management

Abstract

Abstract This paper studies a stochastic predator–prey model for integrated pest management. It shows that the system has a positive solution that exists globally. The long time behavior of the system is investigated, and a condition for the pest to go extinct is given. Then the numerical simulations are carried out to illustrate our theoretical results and facilitate their interpretation.

Keywords

• Integrated pest management
• Predator–prey model
• Pest extinction
• Impulsive effects