SPATIAL PATTERNING OF THE SPRUCE BUDWORM

被引：170

作者：

LUDWIG, D ^{[1
]}

ARONSON, DG ^{[1
]}

WEINBERGER, HF ^{[1
]}

机构：

[1] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1979年 / 8卷 / 03期

关键词：

Comparison methods; Nonlinear diffusion; Spatial patterning; Spruce Budworm;

D O I：

10.1007/BF00276310

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The spatial and temporal distribution of the spruce budworm is modelled by a nonlinear diffusion equation. Two questions are considered: 1. What is the critical size of a patch of forest which can support an outbreak? 2. What is the width of an effective barrier to spread of an outbreak? Answers to these questions are obtained with the aid of comparison methods for nonlinear diffusion equations. © 1979 Springer-Verlag.

引用

页码：217 / 258

页数：42

共 10 条

[1] MULTIDIMENSIONAL NON-LINEAR DIFFUSION ARISING IN POPULATION-GENETICS
ARONSON, DG
WEINBERGER, HF
[J]. ADVANCES IN MATHEMATICS, 1978, 30 (01) : 33 - 76
[2] ARONSON DG, 1975, LECTURE NOTES MATH, V446
[3] KIERSTEAD H, 1953, J MAR RES, V12, P141
[4] POPULATION DYNAMIC-MODELS IN HETEROGENEOUS ENVIRONMENTS
LEVIN, SA
[J]. ANNUAL REVIEW OF ECOLOGY AND SYSTEMATICS, 1976, 7 : 287 - 310
[5] LEVIN SA, 1978, MAA STUDIES MATH, V16, P476
[6] QUALITATIVE-ANALYSIS OF INSECT OUTBREAK SYSTEMS - SPRUCE BUDWORM AND FOREST
LUDWIG, D
JONES, DD
HOLLING, CS
[J]. JOURNAL OF ANIMAL ECOLOGY, 1978, 47 (01) : 315 - 332
[7] PERSISTENCE AND STABILITY OF SINGLE-SPECIES AND PREY-PREDATOR SYSTEMS IN SPATIALLY HETEROGENEOUS ENVIRONMENTS
MCMURTRIE, R
[J]. MATHEMATICAL BIOSCIENCES, 1978, 39 (1-2) : 11 - 51
[8] OKUBO A, 1975, ECOLOGY DIFFUSION
[9] Protter Murray H., 1984, MAXIMUM PRINCIPLES D, DOI [10.1007/978-1-4612-5282-5, DOI 10.1007/978-1-4612-5282-5]
[10] SKELLAM JG, 1951, BIOMETRIKA, V38, P196, DOI 10.2307/2332328

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