Title

Connecting a Chemotactic Model for Mass Attack to a RapidIntegro-Difference Emulation Strategy

Document Type

Article

Journal/Book Title/Conference

SIAM Journal of Applied Mathematics

Volume

59

Issue

2

Publication Date

1998

First Page

547

Last Page

572

Abstract

We present an approach to emulating a complicated reaction/chemotaxis/diusion model describing the spatial dispersal of mountain pine beetles (MPB) and their eect on host pines. The approach depends on separation of scales between chemical diusion and beetle movement, which reduces the dispersal problem to a linear PDE with complicated, spatially varying coecients. We develop an approximation procedure for solving this linear system in general circumstances and analyze its errors. Finally, we analyze the behavior of the system, using the previous procedure to take extremely large numerical time steps. We show that the qualitative dynamics are preserved even when the pointwise error may be large, which leads us to propose this approach as a general emulation technique for similar systems.

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