Open AccessNUMERICAL STUDY OF THE TWO‐DIMENSIONAL SPRUCE BUDWORM REACTION‐DIFFUSION EQUATION WITH DENSITY DEPENDENT DIFFUSION
Author(s) -
Singh Manmohan,
Easton Alan,
Cui Gurong,
Kozlova Irina
Publication year - 1998
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/j.1939-7445.1998.tb00305.x
Subject(s) - diffusion , spruce budworm , biological dispersal , steady state (chemistry) , population , reaction–diffusion system , statistical physics , physics , mechanics , mathematics , ecology , mathematical analysis , chemistry , biology , thermodynamics , lepidoptera genitalia , demography , sociology , tortricidae
The spruce budworm model is one of the interesting single species reaction‐diffusion problems describing insect dispersal behavior. In this paper, we investigate a two‐dimensional model with linear diffusion dependence and a convective wind. This system has been successfully solved using an operator splitting method for various domains and initial conditions. The numerical results show that populations can grow and diffuse in such a way as to produce steady state outbreak populations or steady state inhomogeneous spatial patterns in which they aggregate with low population densities.