Dynamical behavior of a generalized eco-epidemiological system with prey refuge

被引：12
|
作者：
Wang, Shufan [1 ]
Ma, Zhihui [2 ]
Wang, Wenting [1 ]
机构：
[1] Northwest Univ Nationalities, Sch Math & Comp Sci, Lanzhou, Gansu, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou, Gansu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
Eco-epidemiological system; Generalized function response; Prey refuge; Dynamical behavior; Stabilizing/Destabilizing effect; Method of disease control; WEAK ALLEE; MODEL; STABILITY; DISEASE;
D O I：
10.1186/s13662-018-1704-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A generalized eco-epidemiological system with prey refuge is proposed in this paper. The saturation incidence kinetics and a generalized functional response are used to describe the contact process and the predation process, respectively. Based on mathematical issue, the local and global stability properties, Hopf bifurcation, and permanence of the dynamical system are investigated. Based on the ecological aspects, the impact of prey refuge on the dynamical consequences of the eco-epidemiological system and the mechanism of prey refuge are discussed. The results reveal that the stabilizing and destabilizing effects occur under some certain conditions. Based on epidemiological issue, the controlling strategies of the infectious disease are proposed. The results show that the prey refuge can control the spread of disease by the relative level of prey refuge. This study has resolved some basic and interesting issues for an eco-epidemiological system with a generalized response function and the effect of prey refuge.
引用
收藏
页数：20
相关论文
共 50 条
  • [41] Mathematical analysis of a predator-prey eco-epidemiological system under the reproduction of infected prey
    Saikh, Aktar
    Gazi, Nurul Huda
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 58 (1-2) : 621 - 646
  • [42] An eco-epidemiological system with infected prey and predator subject to the weak Allee effect
    Sasmal, Sourav Kumar
    Chattopadhyay, Joydev
    MATHEMATICAL BIOSCIENCES, 2013, 246 (02) : 260 - 271
  • [43] Fractional order Eco-Epidemiological model for the dynamics of a Prey-predator system
    Hariprasad, S.
    Kumar, N. Phani
    Reddy, K. Shiva
    Acharyulu, K. V. L. N.
    Srinivas, M. A. S.
    Nisar, Kottakkaran Sooppy
    MODELING EARTH SYSTEMS AND ENVIRONMENT, 2025, 11 (03)
  • [44] Smoking epidemic eradication in a eco-epidemiological dynamical model
    van Voom, G. A. K.
    Kooi, B. W.
    ECOLOGICAL COMPLEXITY, 2013, 14 : 180 - 189
  • [45] 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
  • [46] Uniform Persistence and Periodic Solutions of Generalized Predator-Prey Type Eco-Epidemiological Systems
    Sun, Mengfeng
    Chen, Guoting
    Fu, Xinchu
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (02):
  • [47] The dynamics of an eco-epidemiological prey-predator model with infectious diseases in prey
    Wang, Mingxin
    Yao, Shaowen
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 132
  • [48] Periodic orbits for periodic eco-epidemiological systems with infected prey
    de Jesus, Lopo F.
    Silva, Cesar M.
    Vilarinho, Helder
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2020, (54) : 1 - 20
  • [49] Role of predator switching in an eco-epidemiological model with disease in the prey
    Mukhopadhyay, B.
    Bhattacharyya, R.
    ECOLOGICAL MODELLING, 2009, 220 (07) : 931 - 939
  • [50] Dual fear phenomenon in an eco-epidemiological model with prey aggregation
    Antwi-Fordjour, Kwadwo
    Westmoreland, Sarah P.
    Bearden, Kendall H.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2024, 139 (06):
12345