Rich dynamics of an SIR epidemic model
This paper aims to study an SIR epidemic model with an asymptotically homogeneous transmission function. The stability of the disease-free and the endemic equilibrium is addressed. Numerical simulations are carried out. Implications of our analytical and numerical findings are discussed critically....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2010-01-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14365 |
| _version_ | 1819046562272116736 |
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| author | S. Pathak A. Maiti G. P. Samanta |
| author_facet | S. Pathak A. Maiti G. P. Samanta |
| author_sort | S. Pathak |
| collection | DOAJ |
| description | This paper aims to study an SIR epidemic model with an asymptotically homogeneous transmission function. The stability of the disease-free and the endemic equilibrium is addressed. Numerical simulations are carried out. Implications of our analytical and numerical findings are discussed critically. |
| first_indexed | 2024-12-21T10:46:26Z |
| format | Article |
| id | doaj.art-3b9ceab3e5304599aae2089f687397b0 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-21T10:46:26Z |
| publishDate | 2010-01-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-3b9ceab3e5304599aae2089f687397b02022-12-21T19:06:48ZengVilnius University PressNonlinear Analysis1392-51132335-89632010-01-0115110.15388/NA.2010.15.1.14365Rich dynamics of an SIR epidemic modelS. Pathak0A. Maiti1G. P. Samanta2Belur Girls’ High School, IndiaPresidency College, Kolkata, IndiaBengal Engineering and Science University, IndiaThis paper aims to study an SIR epidemic model with an asymptotically homogeneous transmission function. The stability of the disease-free and the endemic equilibrium is addressed. Numerical simulations are carried out. Implications of our analytical and numerical findings are discussed critically.http://www.journals.vu.lt/nonlinear-analysis/article/view/14365SIR modeltransmission functionbasic reproduction numberdisease-free equilibriumendemic equilibriumstability |
| spellingShingle | S. Pathak A. Maiti G. P. Samanta Rich dynamics of an SIR epidemic model Nonlinear Analysis SIR model transmission function basic reproduction number disease-free equilibrium endemic equilibrium stability |
| title | Rich dynamics of an SIR epidemic model |
| title_full | Rich dynamics of an SIR epidemic model |
| title_fullStr | Rich dynamics of an SIR epidemic model |
| title_full_unstemmed | Rich dynamics of an SIR epidemic model |
| title_short | Rich dynamics of an SIR epidemic model |
| title_sort | rich dynamics of an sir epidemic model |
| topic | SIR model transmission function basic reproduction number disease-free equilibrium endemic equilibrium stability |
| url | http://www.journals.vu.lt/nonlinear-analysis/article/view/14365 |
| work_keys_str_mv | AT spathak richdynamicsofansirepidemicmodel AT amaiti richdynamicsofansirepidemicmodel AT gpsamanta richdynamicsofansirepidemicmodel |