Global stability of a population model

被引：24
|
作者：
Din, Q. [1 ]
机构：
[1] Univ Azad Jammu & Kashmir, Dept Math, Muzaffarabad, Pakistan
来源：
CHAOS SOLITONS & FRACTALS | 2014年 / 59卷
关键词：
PERIODIC-SOLUTIONS; SYSTEMS;
D O I：
10.1016/j.chaos.2013.12.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the qualitative behavior of a discrete-time population model. More precisely, we investigate boundedness character, existence and uniqueness of positive equilibrium point, local asymptotic stability and global asymptotic stability of unique positive equilibrium point, and the rate of convergence of positive solutions of a population model. In particular, our results solve an open problem proposed by Kulenvic and Ladas in their monograph (Kulenvic and Ladas, 2002) [8]. Some numerical examples are given to verify our theoretical results. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：119 / 128
页数：10
相关论文
共 50 条
  • [21] General conditions for global stability in a single species population-toxicant model
    Buonomo, B
    Lacitignola, D
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2004, 5 (04) : 749 - 762
  • [22] Global asymptotic stability in a delay stage structured model for mosquito population suppression
    Huang, Mu-gen
    Yu, Jian-she
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2025, 40 (01) : 122 - 136
  • [23] GLOBAL ASYMPTOTIC STABILITY FOR GURTIN-MACCAMY'S POPULATION DYNAMICS MODEL
    Ma, Zhaohai
    Magal, Pierre
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (02) : 765 - 780
  • [24] Global Asymptotic Stability of a Non-linear Population Model of Diabetes Mellitus
    de Oliveira, Silvia Rodrigues
    Raha, Soumyendu
    Pal, Debnath
    DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 351 - 357
  • [25] Global Asymptotic Stability in a Delay Differential Equation Model for Mosquito Population Suppression
    Huang, Mu-gen
    Yu, Jian-she
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2022, 38 (04): : 882 - 901
  • [26] Global Asymptotic Stability in a Delay Differential Equation Model for Mosquito Population Suppression
    Mu-gen Huang
    Jian-she Yu
    Acta Mathematicae Applicatae Sinica, English Series, 2022, 38 : 882 - 901
  • [27] Global Stability of Traveling Waves with Non-Monotonicity for Population Dynamics Model
    Zhou, Yonghui
    Yan, Zuomao
    Ji, Shuguan
    TOKYO JOURNAL OF MATHEMATICS, 2021, 44 (02) : 383 - 396
  • [28] Global and local stability analysis in a nonlinear discrete-time population model
    Gumus, Ozlem Ak
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [29] GLOBAL STABILITY OF A MULTI-GROUP SIS EPIDEMIC MODEL FOR POPULATION MIGRATION
    Kuniya, Toshikazu
    Muroya, Yoshiaki
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2014, 19 (04): : 1105 - 1118
  • [30] Stability in a population model
    Graef, JR
    Qian, C
    Spikes, PW
    APPLIED MATHEMATICS AND COMPUTATION, 1998, 89 (1-3) : 119 - 132
12345