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Dynamics of the Spruce Budworm Population under the Action of Predation and Insecticides

In this paper we study the dynamics of the spruce budworm system under either bird predation pressure, insecticide budworm disease mortality, or both assuming that the biomass remains constant. A model with two equations describing the dynamics between birds and budworms is proposed. It is shown that under certain conditions this two dimensional system has limit cycles, that is, it predicts the existence of periodic budworm population outbreaks. Numerical simulations illustrate the action of insecticides on the budworm population size. The possibility of controlling the budworm population via insecticides is explored.

Article Number:
BU-1517-M

Year:
1999

Authors:
Patricia Arriola, California State University of Los Angeles
Irene Mijares-Bernal, Universidad Aut&oactue;noma de Cd. Juárez
Juan Ariel Ortiz-Navarro, University of Puerto Rico-Humacao
Roberto A. Sáenz, Universidad Autónoma de Cd. Juárez

dynamics_of_the_spruce_budworm_population_under_the_action_of_predation_and_insecticides.pdf