SPATIAL DYNAMICS OF AN AGE-STRUCTURED POPULATION MODEL OF ASIAN CLAMS

被引:12
作者
Fang, Jian [1 ,2 ]
Lan, Kunquan [3 ]
Seo, Gunog [2 ,3 ,4 ]
Wu, Jianhong [2 ]
机构
[1] Harbin Inst Technol, Dept Math, Heilongjiang 150001, Peoples R China
[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada
[3] Ryerson Univ, Dept Math, Toronto, ON M5B 2K3, Canada
[4] Colgate Univ, Dept Math, Hamilton, NY 13346 USA
基金
美国国家科学基金会;
关键词
Corbicula fluminea; Asian clam; invasion speed; traveling wave; delayed reaction-diffusion-advection system; nonlocal response; semiflow; CORBICULA-FLUMINEA MULLER; TRAVELING-WAVES; DIFFUSION; SPREAD; SEMIFLOWS; SELECTION; BIVALVIA; SPEEDS; RIVER;
D O I
10.1137/130930273
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Asian clam (Corbicula fluminea) is one of the most important nonnative aquatic invasive species in the freshwater ecosystem of North America, rapidly spreading in lakes, canals, streams, and rivers. This species has remarkably distinct mobility patterns in different phases of its life cycle. We formulate a novel mathematical model, in the form of nonlocal delayed partial differential equations, to calculate and characterize the invasion speed, and show that the invasion speed coincides with the minimal speed of traveling wave fronts.
引用
收藏
页码:959 / 979
页数:21
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