The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate
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 a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/852631 |
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| _version_ | 1832554778264076288 |
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| author | Raid Kamel Naji Arkan N. Mustafa |
| author_facet | Raid Kamel Naji Arkan N. Mustafa |
| author_sort | Raid Kamel Naji |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4741fe9bdae74ddfb786a38193a160c2 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-4741fe9bdae74ddfb786a38193a160c22025-02-03T05:50:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/852631852631The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence RateRaid Kamel Naji0Arkan N. Mustafa1Department of Mathematics, College of Science, University of Baghdad, Baghdad, IraqDepartment of Mathematics, College of Science, University of Sulaimania, Sulaimania, IraqThis 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.http://dx.doi.org/10.1155/2012/852631 |
| spellingShingle | Raid Kamel Naji Arkan N. Mustafa The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate Journal of Applied Mathematics |
| title | The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate |
| title_full | The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate |
| title_fullStr | The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate |
| title_full_unstemmed | The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate |
| title_short | The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate |
| title_sort | dynamics of an eco epidemiological model with nonlinear incidence rate |
| url | http://dx.doi.org/10.1155/2012/852631 |
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