The effect of diffusion on the permanence of Smith population model in a polluted patch
type: Item
instance of: scholarly article
title: The effect of diffusion on the permanence of Smith population model in a polluted patch
zbMATH Open document ID: 1012.34042
DOI: 10.1016/S1007-5704(01)90017-6
author: Zhuoqin Yang
author: Zaizhong Yang
author: Q.-S. Lu
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2002-07-31T00:00:00Z
review text: Here, a system of ODEs is studied that describes a two-patch environment containing populations with logistic type of growth and linked with cross-patch diffusion; the growth rate in the first patch is reduced by a time-dependent toxicant concentration, whose level (asymptotically) reaches a given limit. The authors give conditions on the limiting concentration of the pollutant and other system parameters under which the entire population goes extinct or is permanent; among other results, they show that diffusion can maintain a source-sink structure in their model.
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 1750264
zbMATH Keywords: population diffusion system
zbMATH Keywords: pollution
zbMATH Keywords: permanence
zbMATH Keywords: extinction
reviewed by: David S. Boukal
MaRDI profile type: Publication
cites work: Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates
cites work: The effect of diffusion on the time varying logistic population growth
cites work: On the nonautonomous Lotka-Volterra competition system with diffusion
cites work: Q4361697
description: scientific article; zbMATH DE number 1750264