Local consequences of a global model for mountain pine beetle massattack

Document Type

Article

Journal/Book Title/Conference

Dynamics and Stability of Systems

Volume

12

Issue

1

Publication Date

1997

First Page

3

Last Page

24

Abstract

A coupled partial differential equation model for interaction between mountain pine beetles (MPBs) and lodgepole pine is reviewed. An asymptotic cone-tree' solution is examined and the time-scale of the chemical response discussed. The equations are decoupled making an adiabatic assumption for MPB chemotaxis, and a 'local' projection is made using the leading eigenfunction for the MPB density equation. This projection yields a system of ordinary differential equations for the spatio-temporal response ui a single tree. These equations are analyzed, nnd their behavior compared with observations.

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