Hopf Bifurcation Analysis of a Housefly Model with Time Delay

被引：1
|
作者：
Chang, Xiaoyuan [1 ]
Gao, Xu [1 ]
Zhang, Jimin [2 ]
机构：
[1] Harbin Univ Sci & Technol, Sch Sci, Harbin 150080, Heilongjiang, Peoples R China
[2] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Heilongjiang, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2023年 / 33卷 / 09期
关键词：
Supercritical Hopf bifurcation; global stability; time delay; the housefly model; transient oscillation; POPULATION-MODELS; STABILITY; RESISTANT; SYSTEM;
D O I：
10.1142/S0218127423501067
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The oscillatory dynamics of a delayed housefly model is analyzed in this paper. The local and global stabilities at the non-negative equilibria are obtained via analyzing the distribution of eigenvalues and Lyapunov-LaSalle invariance principle, and the model undergoes the supercritical Hopf bifurcation and the transient oscillation. Based on Wu's global Hopf bifurcation theory, the existence of the global bifurcation is established under certain conditions.
引用
下载
收藏
页数：11
相关论文
共 50 条
  • [41] Stability and Hopf bifurcation analysis for a Lac operon model with nonlinear degradation rate and time delay
    Alrikaby, Zenab
    Liu, Xia
    Zhang, Tonghua
    Frascoli, Federico
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2019, 16 (04) : 1729 - 1749
  • [42] Stability and Hopf Bifurcation Analysis for an Age-Structured Tumor Immune Model with Time Delay
    Luo, Zhonghu
    Liu, Zijian
    Tan, Yuanshun
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (07):
  • [43] Hopf bifurcation analysis in a tri-neuron network with time delay
    Fan, Dejun
    Wei, Junjie
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (01) : 9 - 25
  • [44] Hopf bifurcation analysis of Chen circuit with direct time delay feedback
    任海鹏
    李文超
    刘丁
    Chinese Physics B, 2010, 19 (03) : 168 - 179
  • [45] Hopf bifurcation analysis of Chen circuit with direct time delay feedback
    Ren Hai-Peng
    Li Wen-Chao
    Liu Ding
    CHINESE PHYSICS B, 2010, 19 (03)
  • [46] Hopf Bifurcation Analysis in a Modified R&D Model with Delay
    Cao, Yang
    Massimiliano, Ferrara
    Mariangela, Gangemi
    Luca, Guerrini
    AXIOMS, 2022, 11 (04)
  • [47] STABILITY AND HOPF BIFURCATION ANALYSIS OF DELAY PREY-PREDATOR MODEL
    Gumus, Ozlem A. K.
    Yalcin, Yonca
    JOURNAL OF SCIENCE AND ARTS, 2020, (02): : 277 - 282
  • [48] Hopf bifurcation analysis of a food-limited population model with delay
    Wan, Aying
    Wei, Junjie
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) : 1087 - 1095
  • [49] Stability and Hopf bifurcation analysis of an eco-epidemiological model with delay
    Zhou, Xueyong
    Cui, Jingan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (09): : 1654 - 1680
  • [50] STABILITY AND HOPF BIFURCATION ANALYSIS ON A SPRUCE-BUDWORM MODEL WITH DELAY
    Zhang, Lijun
    Zhang, Jianming
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2020, 10 (06): : 2711 - 2721
12345