ANALYSIS OF AN ECO-EPIDEMIOLOGICAL MODEL WITH TIME DELAY

被引：7
作者：
Zhu, Hui [1 ,2 ]
Xiong, Zuoliang [1 ]
Wang, Xin [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Huaiyin Inst Technol, Dept Comp Sci, Huaian 223002, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2008年 / 38卷 / 05期
关键词：
Eco-epidemiological model; stability; Hopf bifurcation; time delay;
D O I：
10.1216/RMJ-2008-38-5-1877
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An eco-epidemiological model with disease in the predator is studied in this paper. Maturity and digestion delay are considered. It is assumed that the infected predator can't prey. The existence of disease-free and endemic equilibria are obtained. The conditions of locally asymptotic stability of equilibria are obtained by discussing eigenvalue equations of the equilibria. Furthermore, global asymptotic stability of disease-free equilibria and the conditions under which the model hold a Hopf bifurcation are discussed, and a numerical simulation is given.
引用
收藏
页码：1877 / U3
页数：10
相关论文
共 50 条
  • [31] Bifurcation and onset of chaos in an eco-epidemiological system with the influence of time delay
    Pandey, Soumik
    Das, Debashis
    Ghosh, Uttam
    Chakraborty, Sarbani
    CHAOS, 2024, 34 (06)
  • [32] Global stability of an eco-epidemiological predator-prey model with saturation incidence
    Lingshu Wang
    Guanghui Feng
    Journal of Applied Mathematics and Computing, 2017, 53 : 303 - 319
  • [33] An Eco-Epidemiological Model Incorporating Harvesting Factors
    Hassan, Kawa
    Mustafa, Arkan
    Hama, Mudhafar
    SYMMETRY-BASEL, 2021, 13 (11):
  • [34] Global stability of an eco-epidemiological predator-prey model with saturation incidence
    Wang, Lingshu
    Feng, Guanghui
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 303 - 319
  • [35] Globally asymptotically stable analysis in a discrete time eco-epidemiological system
    Hu, Zengyun
    Teng, Zhidong
    Zhang, Tailei
    Zhou, Qiming
    Chen, Xi
    CHAOS SOLITONS & FRACTALS, 2017, 99 : 20 - 31
  • [36] Dynamical Analysis of Eco-Epidemiological Model with Fading Memory
    Moustafa, Mahmoud
    Zali, Suad Mawloud
    Shafie, Sharidan
    JOURNAL OF APPLIED NONLINEAR DYNAMICS, 2024, 13 (02) : 191 - 202
  • [37] Qualitative analysis and control of predator switching on an eco-epidemiological model with prey refuge and harvesting
    Pal, A. K.
    Bhattacharyya, Anindita
    Mondal, Ashok
    RESULTS IN CONTROL AND OPTIMIZATION, 2022, 7
  • [38] Qualitative analysis of an eco-epidemiological model with a role of prey and predator harvesting
    Pal, Amit K.
    Bhattacharyya, Anindita
    Mondal, Ashok
    Pal, Srishti
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2022, 77 (07): : 629 - 645
  • [39] Mathematical analysis of an eco-epidemiological predator–prey model with stage-structure and latency
    Lingshu Wang
    Pei Yao
    Guanghui Feng
    Journal of Applied Mathematics and Computing, 2018, 57 : 211 - 228
  • [40] An eco-epidemiological model with the impact of fear
    Sarkar, Kankan
    Khajanchi, Subhas
    CHAOS, 2022, 32 (08)
12345