The effect of diffusion on the varying logistic population growth

被引：50
|
作者：
Cui, JA [1 ]
Chen, LS
机构：
[1] Acad Sinica, Inst Math, Beijing 100080, Peoples R China
[2] Xinjiang Univ, Dept Math, Urumqi 830046, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1998年 / 36卷 / 03期
基金：
中国国家自然科学基金;
关键词：
logistic equation; diffusion; permanence; periodic solution; stability;
D O I：
10.1016/S0898-1221(98)00124-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the effect of diffusion on the species that live in changing patches environment. Different from the former studies [1-4], we pay attention to the more important situation in conservation biology that species live in a weak patches environment, in the sense that species in some of the isolated patches will be extinct without the contribution from other patches. We obtain an interesting result: the identical species can persist for some diffusion rates, and can also vanish for another set of restriction on diffusion rates. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1 / 9
页数：9
相关论文
共 50 条
  • [31] Maximizing the total population with logistic growth in a patchy environment
    Nagahara, Kentaro
    Lou, Yuan
    Yanagida, Eiji
    JOURNAL OF MATHEMATICAL BIOLOGY, 2021, 82 (1-2)
  • [32] Logistic population growth in the world's largest cities
    Mulligan, Gordon F.
    GEOGRAPHICAL ANALYSIS, 2006, 38 (04) : 344 - 370
  • [33] Population growth in space and time: Spatial logistic equations
    Law, R
    Murrell, DJ
    Dieckmann, U
    ECOLOGY, 2003, 84 (01) : 252 - 262
  • [34] New Model of Population Growth──A Development of Logistic Model
    张雁秋
    Journal of China University of Mining & Technology, 1999, (02) : 208 - 210
  • [35] Solving the Levins' paradox in the logistic model to the population growth
    de Oliveira, Evaldo Araujo
    de Barros, Vicente Pereira
    Kraenkel, Roberto Andre
    DYNAMIC DAYS SOUTH AMERICA 2010: INTERNATIONAL CONFERENCE ON CHAOS AND NONLINEAR DYNAMICS, 2011, 285
  • [36] Psi-Caputo Logistic Population Growth Model
    Awadalla, Muath
    Yameni Noupoue, Yves Yannick
    Asbeh, Kinda Abu
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [37] Uncertain Logistic population model with Allee effect
    Gao, Caiwen
    Zhang, Zhiqiang
    Liu, Baoliang
    SOFT COMPUTING, 2023, 27 (16) : 11091 - 11098
  • [38] Uncertain Logistic population model with Allee effect
    Caiwen Gao
    Zhiqiang Zhang
    Baoliang Liu
    Soft Computing, 2023, 27 : 11091 - 11098
  • [39] A probabilistic cellular automata model for the dynamics of a population driven by logistic growth and weak Allee effect
    Mendonca, J. R. G.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (14)
  • [40] Logistic Growth Described by Birth-Death and Diffusion Processes
    Di Crescenzo, Antonio
    Paraggio, Paola
    MATHEMATICS, 2019, 7 (06)
12345