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Our paper has two purposes Here, we evaluated which environmental factors best explain synchronous population fluctuations in the spruce budworm (choristoneura fumiferana clem.) (sbw), a major defoliator of coniferous forests in north america. The first is to demonstrate the existence of periodic budworm population outbreaks as a result of bird predation and the second is to predict the behavior of budworm functional response under the action of insecticide that causes increased budworm mortality.

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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 When forest stands reach maturity, however, spruce budworm populations explode, seriously affecting the forest by defoliating the trees. A model with two equations describing the dynamics between birds and budworms is proposed.

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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.

In this study, we consider mathematical models in ecology, epidemiology and bifurcation studies The spruce budworm model and the population model with harvesting. Using the latest observations, experiments, and theoretical studies, i have reanalyzed spruce budworm data from the green river project, and now propose a new interpretation of the population dynamics of the species. For many years, population sizes of spruce budworm are low and have little impact on trees