A Study of a Prey-Predator System with Disease in Prey
In this paper, the dynamical behavior of some eco-epidemiological models is investigated. Two types of prey-predator models involving infectious disease in prey population, which divided it into two compartments; namely susceptible population S and infected population I, are proposed and analyzed. T...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Unviversity of Technology- Iraq
2015-03-01
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| Series: | Engineering and Technology Journal |
| Subjects: | |
| Online Access: | https://etj.uotechnology.edu.iq/article_105295_bf52818e3e804eed669ed3e4644ce381.pdf |
| _version_ | 1797325834738991104 |
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| author | Raid Kamel Naji Basim N. Abood Alaa Abbas M.Rasheed |
| author_facet | Raid Kamel Naji Basim N. Abood Alaa Abbas M.Rasheed |
| author_sort | Raid Kamel Naji |
| collection | DOAJ |
| description | In this paper, the dynamical behavior of some eco-epidemiological models is investigated. Two types of prey-predator models involving infectious disease in prey population, which divided it into two compartments; namely susceptible population S and infected population I, are proposed and analyzed. The proposed model deals with SIS infectious disease that transmitted directly from external sources, as well as, through direct contact between susceptible and infected individuals. The model are represented mathematically by the set of nonlinear differential equations .The existence, uniqueness and boundedness of this model are investigated. The local and global stability conditions of all possible equilibrium points are established. Finally, the numerical simulations are used to study the global dynamics of the model. |
| first_indexed | 2024-03-08T06:15:02Z |
| format | Article |
| id | doaj.art-f0ae997a932e430fad2bece76cbd97d0 |
| institution | Directory Open Access Journal |
| issn | 1681-6900 2412-0758 |
| language | English |
| last_indexed | 2024-03-08T06:15:02Z |
| publishDate | 2015-03-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| series | Engineering and Technology Journal |
| spelling | doaj.art-f0ae997a932e430fad2bece76cbd97d02024-02-04T17:28:12ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582015-03-01333B46147710.30684/etj.33.3B.8105295A Study of a Prey-Predator System with Disease in PreyRaid Kamel NajiBasim N. AboodAlaa Abbas M.RasheedIn this paper, the dynamical behavior of some eco-epidemiological models is investigated. Two types of prey-predator models involving infectious disease in prey population, which divided it into two compartments; namely susceptible population S and infected population I, are proposed and analyzed. The proposed model deals with SIS infectious disease that transmitted directly from external sources, as well as, through direct contact between susceptible and infected individuals. The model are represented mathematically by the set of nonlinear differential equations .The existence, uniqueness and boundedness of this model are investigated. The local and global stability conditions of all possible equilibrium points are established. Finally, the numerical simulations are used to study the global dynamics of the model.https://etj.uotechnology.edu.iq/article_105295_bf52818e3e804eed669ed3e4644ce381.pdfpreypredator modellocal stabilityglobal stability |
| spellingShingle | Raid Kamel Naji Basim N. Abood Alaa Abbas M.Rasheed A Study of a Prey-Predator System with Disease in Prey Engineering and Technology Journal prey predator model local stability global stability |
| title | A Study of a Prey-Predator System with Disease in Prey |
| title_full | A Study of a Prey-Predator System with Disease in Prey |
| title_fullStr | A Study of a Prey-Predator System with Disease in Prey |
| title_full_unstemmed | A Study of a Prey-Predator System with Disease in Prey |
| title_short | A Study of a Prey-Predator System with Disease in Prey |
| title_sort | study of a prey predator system with disease in prey |
| topic | prey predator model local stability global stability |
| url | https://etj.uotechnology.edu.iq/article_105295_bf52818e3e804eed669ed3e4644ce381.pdf |
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