An epidemic model with density dependent parameters and vaccination
A model originally suggested by Greenhalgh [12] and later modified by that same author [13,14] is considered under the assumption that the transmission coefficient is inversely proportional to the total population size. The purpose of this study is to see the effect of this density dependent transmi...
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| Format: | Article |
| Language: | English |
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Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171296001123 |
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| _version_ | 1832567173283840000 |
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| author | Q. J. A. Khan B. S. Bhatt |
| author_facet | Q. J. A. Khan B. S. Bhatt |
| author_sort | Q. J. A. Khan |
| collection | DOAJ |
| description | A model originally suggested by Greenhalgh [12] and later modified by that same
author [13,14] is considered under the assumption that the transmission coefficient is inversely
proportional to the total population size. The purpose of this study is to see the effect of this density
dependent transmission coefficient on the stability criteria for the equilibrium of the model equations. It
is found that Greenhalgh’s results are still valid. |
| format | Article |
| id | doaj-art-66a51b406a5442049dc4450f30a35029 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-66a51b406a5442049dc4450f30a350292025-02-03T01:02:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119480581410.1155/S0161171296001123An epidemic model with density dependent parameters and vaccinationQ. J. A. Khan0B. S. Bhatt1Department of Mathematics and Computing, College of Science, Sultan Qaboos University, P O Box 36, Postal Code 123 AI-Khod, Muscat, OmanDepartment of Mathematics and Computing, College of Science, Sultan Qaboos University, P O Box 36, Postal Code 123 AI-Khod, Muscat, OmanA model originally suggested by Greenhalgh [12] and later modified by that same author [13,14] is considered under the assumption that the transmission coefficient is inversely proportional to the total population size. The purpose of this study is to see the effect of this density dependent transmission coefficient on the stability criteria for the equilibrium of the model equations. It is found that Greenhalgh’s results are still valid.http://dx.doi.org/10.1155/S0161171296001123Epidemic modeldensity-dependent death rate and transmission coefficientvaccinationstability. |
| spellingShingle | Q. J. A. Khan B. S. Bhatt An epidemic model with density dependent parameters and vaccination International Journal of Mathematics and Mathematical Sciences Epidemic model density-dependent death rate and transmission coefficient vaccination stability. |
| title | An epidemic model with density dependent parameters and vaccination |
| title_full | An epidemic model with density dependent parameters and vaccination |
| title_fullStr | An epidemic model with density dependent parameters and vaccination |
| title_full_unstemmed | An epidemic model with density dependent parameters and vaccination |
| title_short | An epidemic model with density dependent parameters and vaccination |
| title_sort | epidemic model with density dependent parameters and vaccination |
| topic | Epidemic model density-dependent death rate and transmission coefficient vaccination stability. |
| url | http://dx.doi.org/10.1155/S0161171296001123 |
| work_keys_str_mv | AT qjakhan anepidemicmodelwithdensitydependentparametersandvaccination AT bsbhatt anepidemicmodelwithdensitydependentparametersandvaccination AT qjakhan epidemicmodelwithdensitydependentparametersandvaccination AT bsbhatt epidemicmodelwithdensitydependentparametersandvaccination |