On an eco-epidemiological model with prey harvesting and predator switching: Local and global perspectives

In this paper, we study an eco-epidemiological model where prey disease is modeled by a Susceptible-Infected (SI) scheme. Saturation incidence kinetics is used to model the contact process. The predator population adapt switching technique among susceptible and infected prey. The prey species is sup...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2010-10, Vol.11 (5), p.3824-3833
Main Authors: Bhattacharyya, R., Mukhopadhyay, B.
Format: Article
Language:English
Subjects:
Dynamic tests
Dynamical systems
Dynamics
Global stability
Harvesting
Infected prey
Mathematical analysis
Mathematical models
Predator switching
Predators
Saturation incidence
Steady state
Susceptible prey
Switching
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Summary:In this paper, we study an eco-epidemiological model where prey disease is modeled by a Susceptible-Infected (SI) scheme. Saturation incidence kinetics is used to model the contact process. The predator population adapt switching technique among susceptible and infected prey. The prey species is supposed to be commercially viable and undergo constant non-selective harvesting. We study the stability aspects of the basic and the switching models around the infection-free state and the infected steady state from a local as well as a global perspective. Our aim is to study the role of harvesting and switching on the dynamics of disease propagation and/or eradication. A comparison of the local and global dynamical behavior in terms of important system parameters is obtained. Numerical simulations are done to illustrate the analytical results.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2010.02.012