Braverman E, Kamrujjaman Md, Korobenko L
Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary, AB T2N 1N4, Canada.
Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary, AB T2N 1N4, Canada.
Math Biosci. 2015 Jun;264:63-73. doi: 10.1016/j.mbs.2015.03.004. Epub 2015 Mar 25.
We study the interaction between different types of dispersal, intrinsic growth rates and carrying capacities of two competing species in a heterogeneous environment: one of them is subject to a regular diffusion while the other moves in the direction of most per capita available resources. If spatially heterogeneous carrying capacities coincide, and intrinsic growth rates are proportional then competitive exclusion of a regularly diffusing population is inevitable. However, the situation may change if intrinsic growth rates for the two populations have different spatial forms. We also consider the case when carrying capacities are different. If the carrying capacity of a regularly diffusing population is higher than for the other species, the two populations may coexist; as the difference between the two carrying capacities grows, competitive exclusion of the species with a lower carrying capacity occurs.
我们研究了异质环境中两种竞争物种的不同扩散类型、内在增长率和承载能力之间的相互作用：其中一种物种进行规则扩散，而另一种则朝着人均可用资源最多的方向移动。如果空间异质的承载能力一致，且内在增长率成比例，那么规则扩散种群的竞争排斥是不可避免的。然而，如果两个种群的内在增长率具有不同的空间形式，情况可能会改变。我们还考虑了承载能力不同的情况。如果规则扩散种群的承载能力高于另一个物种，两个种群可能共存；随着两种承载能力之间的差异增大，承载能力较低的物种会发生竞争排斥。
