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2012 The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate
Raid Kamel Naji, Arkan N. Mustafa
J. Appl. Math. 2012: 1-24 (2012). DOI: 10.1155/2012/852631


This paper treats the dynamical behavior of eco-epidemiological model with nonlinear incidence rate. A Holling type II prey-predator model with SI-type of disease in prey has been proposed and analyzed. The existence, uniqueness, and boundedness of the solution of the system are studied. The local and global dynamical behaviors are investigated. The conditions, which guarantee the occurring of Hopf bifurcation 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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Raid Kamel Naji. Arkan N. Mustafa. "The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate." J. Appl. Math. 2012 1 - 24, 2012.


Published: 2012
First available in Project Euclid: 2 January 2013

zbMATH: 1263.92051
MathSciNet: MR2984205
Digital Object Identifier: 10.1155/2012/852631

Rights: Copyright © 2012 Hindawi


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