The Effect of Dispersal on Population Growth with Stage-structure

The Effect of Dispersal on Population Growth with Stage-structure The effect of dispersal on the permanence of population in a polluted patch is studied in this paper. The authors constructed a single-species dispersal model with stage-structure in two patches. The analysis focuses on the case that the toxicant input in the polluted patch has a limit value. The authors derived the conditions under which the population will be either permanent, or extinct. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The Effect of Dispersal on Population Growth with Stage-structure

The Effect of Dispersal on Population Growth with Stage-structure

Acta Mathematicae Applicatae Sinica, English Series Vol. 19, No. 3 (2003) 499–504 The Effect of Dispersal on Population Growth with Stage-structure 1 2 3 Yong-guang Yu , Suo-chun Zhang , Zai-zhong Yang 1,2 Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sci- ences, Beijing 100080, China ( E-mail: yyg@amss.ac.cn) Department of Mathematics, Inner Mongolia University, Huhhot 010021, China Abstract The effect of dispersal on the permanence of population in a polluted patch is studied in this paper. The authors constructed a single-species dispersal model with stage-structure in two patches. The analysis focuses on the case that the toxicant input in the polluted patch has a limit value. The authors derived the conditions under which the population will be either permanent, or extinct. Keywords Patch environment, stage-structure, pollution, dispersal, permanence 2000 MR Subject Classification O175 1 Introduction [2,4,5,8−12,14] The effect of dispersal on the permanence of population has been studied extensively . [12] Since the pioneering theoretical work by Skellam , many papers have focused on the ef- fect of spatial factors which play a very important role in the permanence and stability of [8,11] population . In fact, dispersal between patches often occurs in ecological environment. Mo- tivated by the study of migrating population, global stability of dispersal models have also been [2,4,5,9,10,14] studied . In [1], a stage-structured model of one species growth consisting of immature and mature [3] individuals was analyzed. Cui et al. proposed a single-species dispersal model with stage- structure, and derived sufficient conditions that ensure the existence of a globally asymptotically stable and positive equilibrium point. In this paper we shall consider the effect of dispersal on population growth with stage- structure in a polluted environment. Nowadays, environment pollution is a very serious...
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Publisher
Springer Journals
Copyright
Copyright © 2003 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
D.O.I.
10.1007/s10255-003-0126-y
Publisher site
See Article on Publisher Site

Abstract

The effect of dispersal on the permanence of population in a polluted patch is studied in this paper. The authors constructed a single-species dispersal model with stage-structure in two patches. The analysis focuses on the case that the toxicant input in the polluted patch has a limit value. The authors derived the conditions under which the population will be either permanent, or extinct.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Mar 3, 2017

References

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