|
|||||
 |
|
|
|
|
|
Numerical
existence and stability of solutions to the distributed
spruce budworm model
Hala Al-Khalil, Catherine Brennan, Robert Decker, Aslihan Demirkaya and Jamie Nagode
Vol. 10 (2017), No. 5, 857–879
|
Abstract |
|
This paper presents the steady-state solutions and traveling wave solutions for a spatially distributed PDE version of the spruce budworm model. The ODE (undistributed) model has been used in practical scenarios to model the outbreaks of the spruce budworm in forest environments, alongside the study of concepts involving fixed points and bifurcations in introductory differential equations courses. This study represents the spread of an outbreak from one end of a forest to the other. Numerical simulations are conducted using spectral methods. |
Keywords
spruce budworm, steady states, traveling waves, stability
|
Mathematical Subject Classification 2010
Primary: 34B15, 35B32, 35B35, 35C07
|
Milestones
Received: 6 June 2016
Accepted: 21 August 2016
Published: 14 May 2017
Communicated by John Baxley
|
Authors |
| Hala Al-Khalil | |
| Stanford University Stanford, CA 94305 United States |
|
| Catherine Brennan | |
| UC Santa Cruz 1156 High Street Santa Cruz, CA 95064 United States |
|
| Robert Decker | |
| Department of Mathematics University of Hartford 200 Bloomfield Ave West Hartford, CT 06117 United States |
|
| Aslihan Demirkaya | |
| Department of Mathematics University of Hartford Dano Hall 210 200 Bloomfield Ave West Hartford, CT 06117 United States |
|
| Jamie Nagode | |
| Colorado State University Fort Collins, CO 80523 United States |
|
|
