An Eco-Epidemic Predator-Prey Model with Allee Effect in Prey

被引：7
|
作者：
Shaikh, Absos Ali [1 ]
Das, Harekrishna [1 ]
机构：
[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2020年 / 30卷 / 13期
关键词：
Eco-epidemic model; Allee effect; stability; bifurcation; chaos; POPULATION-DYNAMICS; TIME-DELAY; DISEASE; SYSTEM; FOOD;
D O I：
10.1142/S0218127420501941
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article describes the dynamics of a predator prey model with disease in predator population and prey population subject to Allee effect. The positivity and boundedness of the solutions of the system have been determined. The existence of equilibria of the system and the stability of those equilibria are analyzed when Allee effect is present. The main objective of this study is to investigate the impact of Alice effect and it is observed that the system experiences Hopf bifurcation and chaos due to Allee effect. The results obtained from the model may be useful for analyzing the real-world ecological and eco-epidemiological systems.
引用
收藏
页数：16
相关论文
共 50 条
  • [21] Bifurcation analysis of the predator-prey model with the Allee effect in the predator
    Sen, Deeptajyoti
    Ghorai, Saktipada
    Banerjee, Malay
    Morozov, Andrew
    JOURNAL OF MATHEMATICAL BIOLOGY, 2022, 84 (1-2)
  • [22] Allee effect in a Ricker type predator-prey model
    Hamada, M. Y.
    El-Azab, Tamer
    El-Metwally, H.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 29 (03): : 239 - 251
  • [23] The role of noise in a predator-prey model with Allee effect
    Sun, Gui-Quan
    Jin, Zhen
    Li, Li
    Liu, Quan-Xing
    JOURNAL OF BIOLOGICAL PHYSICS, 2009, 35 (02) : 185 - 196
  • [24] The Stability Analysis on a Predator-Prey Model with Allee Effect
    Huang, Dongwei
    Sun, Dongmei
    Tan, Jianguo
    PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON ADVANCED MATERIALS SCIENCE AND ENVIRONMENTAL ENGINEERING, 2016, 52 : 105 - 109
  • [25] A Discrete Predator-prey Model with Allee and Refuge Effect
    Kapcak, Sinan
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (01): : 71 - 83
  • [26] Impact of the strong Allee effect in a predator-prey model
    Ma, Yudan
    Zhao, Ming
    Du, Yunfei
    AIMS MATHEMATICS, 2022, 7 (09): : 16296 - 16314
  • [27] Bifurcation analysis in a predator-prey model with Allee effect
    Zhu, Jingwen
    Wu, Ranchao
    Chen, Mengxin
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2021, 76 (12): : 1091 - 1105
  • [28] Predator-Prey Model with Cooperative Delay and Allee Effect
    Dong, Yurong
    Liu, Hua
    Li, Danyang
    Ma, Gang
    PROCEEDINGS OF INTERNATIONAL CONFERENCE ON MODELING, NATURAL LANGUAGE PROCESSING AND MACHINE LEARNING, CMNM 2024, 2024, : 172 - 176
  • [29] Complex dynamics of a discrete predator-prey model with the prey subject to the Allee effect
    Wu, Daiyong
    Zhao, Hongyong
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2017, 23 (11) : 1765 - 1806
  • [30] A ratio-dependent predator-prey model with Allee effect and disease in prey
    Sharma S.
    Samanta G.P.
    Journal of Applied Mathematics and Computing, 2015, 47 (1-2) : 345 - 364
12345