Abstract
An impulsive stochastic pest management system with insecticide residue effects and group defense behavior is proposed to study how environmental noise affects the dynamics of pest populations. Firstly, we show that the proposed system exists a unique global positive solution with upper bounded in terms of expectation. Secondly, threshold criteria ensuring the extinction of pests and natural enemies provided. Numerical investigations reveal that environmental noise makes pest management more difficult and complex, but more frequently pulse control or more efficient insecticides can effectively control pests.
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