The evolution of slow dispersal rates: a reaction diffusion model
The evolution of slow dispersal rates: a reaction diffusion model
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DOI：
10.1007/s002850050120
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发表时间：
1998-07-01
影响因子：
1.9
通讯作者：
Pernarowski, M
中科院分区：
文献类型：
--
作者：
Dockery, J;Hutson, V;Pernarowski, M
我们考虑一个物种在一个连续但不同的环境中的n个表型，假设这些表型只在扩散速度上有所不同。单倍体遗传学和小突变率表明，唯一的非平凡平衡是由最慢扩散表型主导的群体。我们还证明了如果只有两种可能的表型，那么这个平衡点是一个全局吸引子，并猜想这通常是正确的。数值模拟支持这一猜想，并表明这是一个稳健的现象也进行了讨论。
We consider n phenotypes of a species in a continuous but heterogeneous environment, it is assumed that the phenotypes differ only in their diffusion rates. With haploid genetics and a small rate of mutation, it is shown that the only nontrivial equilibrium is a population dominated by the slowest diffusing phenotype. We also prove that if there are only two possible phenotypes, then this equilibrium is a global attractor and conjecture that this is true in general. Numerical simulations supporting this conjecture and suggesting that this is a robust phenomenon are also discussed.