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

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 p...

Full description

Saved in:
Bibliographic Details
Published inAdvances in difference equations Vol. 2018; no. 1; pp. 1 - 20
Main Authors Wang, Shufan, Ma, Zhihui, Wang, Wenting
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 18.07.2018
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Difference and Functional Equations
Disease control
Dynamic stability
Dynamical behavior
Eco-epidemiological system
Ecological monitoring
Economic models
Epidemiology
Functional Analysis
Generalized function response
Hopf bifurcation
Infectious diseases
Mathematics
Mathematics and Statistics
Method of disease control
Ordinary Differential Equations
Partial Differential Equations
Prey refuge
Response functions
Stabilizing/Destabilizing effect
Stabilizing/Destabilizing effect
Dynamical behavior
Method of disease control
Prey refuge
Generalized function response
Eco-epidemiological system
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-018-1704-x