Local consequences of a global model for mountain pine beetle massattack
Dynamics and Stability of Systems
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.
J. Powell and J. Rose. “Local consequences of a global model for mountain pine beetle mass attack,” Dynamics and Stability of Systems 12:1, 3–24 February, 1997.