We are modeling two insect populations which have a prey and preda­tor relationship. If it is not controlled the prey can destroy agricultural fields. To prevent the outbreak of the prey population, pesticides are widely used. The pesticides kill the prey and may also kill the predator. We used the Lotka-Volterra model with fishing (pesticide is the fishing agent) to model the prey-predator relationship, which is dX/dt = { a - e - b Y) X, dY/dt = { dX - c - f) Y. Our results suggest that, in the presence of the predator, predation alone (with out pesticide) can help to keep the prey population at low level. In some situations using pesticides can cause an increase of the prey population and it can cause also seasonal (periodic) pest (prey) outbreaks.

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