The dynamics of an eco-epidemiological model with nonlinear incidence rate (Q1952960)
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scientific article; zbMATH DE number 6169993
| Language | Label | Description | Also known as |
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| English | The dynamics of an eco-epidemiological model with nonlinear incidence rate |
scientific article; zbMATH DE number 6169993 |
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The dynamics of an eco-epidemiological model with nonlinear incidence rate (English)
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3 June 2013
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Summary: This paper treats the dynamical behavior of an eco-epidemiological model with nonlinear incidence rate. A Holling type II prey-predator model with \(SI\)-type of disease in the prey has been proposed and analyzed. The existence, uniqueness, and boundedness of the solutions of the system are studied. The local and global dynamical behaviors are investigated. The conditions which guarantee the occurring of Hopf bifurcations of the system are established. Finally, further investigations for the global dynamics of the proposed system are carried out with the help of numerical simulations.
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