首页|Population Dynamics in an Advective Environment

Population Dynamics in an Advective Environment

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als at both the upstream and downstream boundaries.In the single-species case,we prove the existence of the critical domain size and provide explicit formulas in terms of model parameters.We further derive qualitative properties of the critical domain size and show that,in some cases,the critical domain size is either strictly decreasing over all diffusion rates,or monotonically increasing after first decreasing to a minimum.We also consider competition between species differing only in their diffusion rates.For two species hav-ing large diffusion rates,we give a sufficient condition to determine whether the faster or slower diffuser wins the competition.We also briefly discuss applications of these results to competition in species whose spatial niche is affected by shifting isotherms caused by climate change.

Reaction-diffusion-advectionCritical domain sizeCompetitionClimate change

King-Yeung Lam、Ray Lee、Yuan Lou

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Department of Mathematics,The Ohio State University,Columbus,OH 43210,USA

School of Mathematical Sciences,CMA-Shanghai and MOE-LSC,Shanghai Jiao Tong University,Shanghai 200240,China

国家自然科学基金国家自然科学基金国家自然科学基金国家自然科学基金

DMS-1853561122507106741226116036612226328

2024

应用数学与计算数学学报
上海大学

应用数学与计算数学学报

影响因子:0.165
ISSN:1006-6330
年,卷(期):2024.6(1)
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