Dynamical Study of An SIR Epidemic Model With Nonlinear Incidence Rate and Regress of Treatment
In this research, dynamical study of an SIR epidemical model with nonlinear direct incidence rate (Beddington-De Angelis ) type, and regress of treatment investigated .An analytical study to the model shows that there are two equilibrium points appear, the discussed successfully with sufficien...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2018-04-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/1810 |
| _version_ | 1818200484334272512 |
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| author | Saba Noori Majeed |
| author_facet | Saba Noori Majeed |
| author_sort | Saba Noori Majeed |
| collection | DOAJ |
| description |
In this research, dynamical study of an SIR epidemical model with nonlinear direct incidence rate (Beddington-De Angelis ) type, and regress of treatment investigated .An analytical study to the model shows that there are two equilibrium points appear, the discussed successfully with sufficient condition, the existence of local bifurcation and Hopf bifurcation was analyzed, finally numerical simulations are done to explain the analytic studies.
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| first_indexed | 2024-12-12T02:38:23Z |
| format | Article |
| id | doaj.art-f412f75e97e74921ab117946d3ea751b |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-12-12T02:38:23Z |
| publishDate | 2018-04-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-f412f75e97e74921ab117946d3ea751b2022-12-22T00:41:14ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072018-04-012017IHSCICONF10.30526/2017.IHSCICONF.1810Dynamical Study of An SIR Epidemic Model With Nonlinear Incidence Rate and Regress of TreatmentSaba Noori Majeed In this research, dynamical study of an SIR epidemical model with nonlinear direct incidence rate (Beddington-De Angelis ) type, and regress of treatment investigated .An analytical study to the model shows that there are two equilibrium points appear, the discussed successfully with sufficient condition, the existence of local bifurcation and Hopf bifurcation was analyzed, finally numerical simulations are done to explain the analytic studies. https://jih.uobaghdad.edu.iq/index.php/j/article/view/1810SIR epidemic model, nonlinear incidence rate, regress treatment |
| spellingShingle | Saba Noori Majeed Dynamical Study of An SIR Epidemic Model With Nonlinear Incidence Rate and Regress of Treatment Ibn Al-Haitham Journal for Pure and Applied Sciences SIR epidemic model, nonlinear incidence rate, regress treatment |
| title | Dynamical Study of An SIR Epidemic Model With Nonlinear Incidence Rate and Regress of Treatment |
| title_full | Dynamical Study of An SIR Epidemic Model With Nonlinear Incidence Rate and Regress of Treatment |
| title_fullStr | Dynamical Study of An SIR Epidemic Model With Nonlinear Incidence Rate and Regress of Treatment |
| title_full_unstemmed | Dynamical Study of An SIR Epidemic Model With Nonlinear Incidence Rate and Regress of Treatment |
| title_short | Dynamical Study of An SIR Epidemic Model With Nonlinear Incidence Rate and Regress of Treatment |
| title_sort | dynamical study of an sir epidemic model with nonlinear incidence rate and regress of treatment |
| topic | SIR epidemic model, nonlinear incidence rate, regress treatment |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/1810 |
| work_keys_str_mv | AT sabanoorimajeed dynamicalstudyofansirepidemicmodelwithnonlinearincidencerateandregressoftreatment |