Local projections for a global model of mountain pine beetleattacks

Document Type

Article

Journal/Book Title/Conference

Journal of Theoretical Biology

Volume

179

Publication Date

1996

First Page

243

Last Page

260

Abstract

We derive a system of nonlinear partial differential equations describing the phenomenon of mountain pine beetles attacking lodgepole pine en masse. A methodology for projecting the behaviour of these partial differential equations onto purely local ordinary differential equations is discussed and implemented. The behaviour of this system of equations is analysed and compared heuristically with observations.

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