A numerical study of the spruce budworm reaction-diffusion equation with hostile boundaries

Natural Resource Modeling

Volumn 13, Issue 4, 2000, Pages 535-549

  Singh, Manmohan ^a   Easton, Alan ^a   Kozlova, Irina ^a  

^a SWINBURNE UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85001844319     PISSN: 08908575     EISSN: 19397445     Source Type: Journal    
DOI: 10.1111/j.1939-7445.2000.tb00046.x     Document Type: Article

References (9)

1. G. Ben-Yu, A.R. Mitchell and B.D. Sleeman [1986], Spatial Effects in a Two-Dimensional Model of the Budworm-Balsam Fir Ecosystem, Computers Math. Appl. 12, 1117–1132.
2. A. Easton, M. Singh and G. Cui [1993], Numerical Study of the non linear Oscillator Solutions of the Field-Noyes Reaction-Diffusion Model, in APCOM93, The Second Asian-Pacific Conference on Computational Mechanics, S. Valliappan, V.A. Pulmano and F. Tin-Loi, eds., Sydney, 1993.
3. W.F. Fagan, R.S. Cresswell and C. Cosner [1999], How Habitat Edges Change Species Interaction, The American Naturalist 153, 165–182.
4. D. Ludwig, D.G. Aronson and H.F. Weinberger [1979], Spatial Patterns of the Spruce Budworm, J. Math. Biol. 8, 217–258.
5. D. Ludwig, D.D. Jones and C.S. Holling [1978], The Qualitative Analysis of Insect Outbreak Systems: The Spruce Budworm and Forest, J. Animal Ecol. 47, 315–332.
6. J.D. Murray [1989], Mathematical Biology, Springer-Verlag, New York.
7. M. Singh, A. Easton, G. Cui and I. Kozlova [1998], Numerical Study of the Two Dimensional Spruce Budworm Reaction Diffusion Equation with Density Dependent Diffusion, Natur. Resource Modeling 11, 143–154.
8. R.W. Van Kirk and M.A. Lewis [1999], Edge Permeability and Population Persistence in Isolated Habitat Patches, Natur. Resource Modeling 12, 37–64.
9. N.N. Yanenko [1971], The Method of Fractional Steps, Springer-Verlag, New York.