文献详情
MONOTONICITY AND GLOBAL DYNAMICS OF A NONLOCAL TWO-SPECIES PHYTOPLANKTON MODEL
文献类型：期刊
通讯作者：Jiang, DH (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.; Jiang, DH (reprint author), Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA.
期刊名称：SIAM JOURNAL ON APPLIED MATHEMATICS影响因子和分区
年：2019
卷：79
期：2
页码：716-742
ISSN：0036-1399
关键词：phytoplankton; competition for light; nonlocal reaction-diffusion equations; monotone dynamical systems; maximum principle
所属部门：数学科学研究院
摘要：We investigate a nonlocal reaction-diffusion-advection system modeling the population dynamics of two competing phytoplankton species in a eutrophic environment, where nutrients are in abundance and the species are limited by light only for their metabolism. We first demonstrate that the system does not preserve the competitive order in the pointwise sense. Then we introduce a special cone K involving the cumulative distributions of the population densities, and a generalized notion of super- an ...More
We investigate a nonlocal reaction-diffusion-advection system modeling the population dynamics of two competing phytoplankton species in a eutrophic environment, where nutrients are in abundance and the species are limited by light only for their metabolism. We first demonstrate that the system does not preserve the competitive order in the pointwise sense. Then we introduce a special cone K involving the cumulative distributions of the population densities, and a generalized notion of super- and subsolutions of the nonlocal competition system where the differential inequalities hold in the sense of the cone K. A comparison principle is then established for such super- and subsolutions, which implies the monotonicity of the underlying semiflow with respect to the cone K (Theorem 2.1). As application, we study the global dynamics of the single-species system and the competition system. The latter has implications for the evolution of movement for phytoplankton species. ...Hide

DOI：10.1137/18M1221588
百度学术：MONOTONICITY AND GLOBAL DYNAMICS OF A NONLOCAL TWO-SPECIES PHYTOPLANKTON MODEL
语言：外文
基金：China Scholarship CouncilChina Scholarship Council [201706180067]; NSFNational Science Foundation (NSF) [DMS-1853561]; National Natural Science Foundation of ChinaNational Natural Science Foundation of China [11371179, 11731005]; Fundamental Research Funds for Central UniversitiesFundamental Research Funds for the Central Universities [lzujbky-2017-ot09]
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