The Role of Advection in a Two-species Competition Model: A Bifurcation Approach

کتابخانه الکترونیکی دیتا ساینس

شناسه: Ebook-19117

عنوان: The Role of Advection in a Two-species Competition Model: A Bifurcation Approach

لینک: http://bookstore.ams.org/memo-245-1161

قیمت: ۸۱۰۰ تومان (۱۰ درصد تخفیف اعضاء ویژه)

The effects of weak and strong advection on the dynamics of reaction-diffusion models have long been studied. In contrast, the role of intermediate advection remains poorly understood. For example, concentration phenomena can occur when advection is strong, providing a mechanism for the coexistence of multiple populations, in contrast with the situation of weak advection where coexistence may not be possible. The transition of the dynamics from weak to strong advection is generally difficult to determine.

In this work the authors consider a mathematical model of two competing populations in a spatially varying but temporally constant environment, where both species have the same population dynamics but different dispersal strategies: one species adopts random dispersal, while the dispersal strategy for the other species is a combination of random dispersal and advection upward along the resource gradient. For any given diffusion rates the authors consider the bifurcation diagram of positive steady states by using the advection rate as the bifurcation parameter. This approach enables the authors to capture the change of dynamics from weak advection to strong advection.

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