A spatial model of range-dependent succession

被引:4
|
作者
Krone, SM [1 ]
Neuhauser, C
机构
[1] Univ Idaho, Dept Math, Moscow, ID 83844 USA
[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
关键词
interacting particle systems; succession; range-dependent dispersal; coexistence; spatial patterns; turing instabilities;
D O I
10.1017/S0021900200018210
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We consider an interacting particle system in which each site of the d-dimensional integer lattice can be in state 0, 1, or 2. Our aim is to model the spread of disease in plant populations, so think of 0 = vacant, 1 = healthy plant, 2 = infected plant. A vacant site becomes occupied by a plant at a rate which increases linearly with the number of plants within range R, up to some saturation level, F-1, above which the rate is constant. Similarly, a plant becomes infected at a rate which increases linearly with the number of infected plants within range M, up to some saturation level, F-2. An infected plant dies (and the site becomes vacant) at constant rate delta. We discuss coexistence results in one and two dimensions. These results depend on the relative dispersal ranges for plants and disease.
引用
收藏
页码:1044 / 1060
页数:17
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