The Effect of Seasonal Weather Variation on the Dynamics of the Plague Disease
Plague is a historic disease which is also known to be the most devastating disease that ever occurred in human history, caused by gram-negative bacteria known as Yersinia pestis. The disease is mostly affected by variations of weather conditions as it disturbs the normal behavior of main plague dis...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2017/5058085 |
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| author | Rigobert C. Ngeleja Livingstone S. Luboobi Yaw Nkansah-Gyekye |
| author_facet | Rigobert C. Ngeleja Livingstone S. Luboobi Yaw Nkansah-Gyekye |
| author_sort | Rigobert C. Ngeleja |
| collection | DOAJ |
| description | Plague is a historic disease which is also known to be the most devastating disease that ever occurred in human history, caused by gram-negative bacteria known as Yersinia pestis. The disease is mostly affected by variations of weather conditions as it disturbs the normal behavior of main plague disease transmission agents, namely, human beings, rodents, fleas, and pathogens, in the environment. This in turn changes the way they interact with each other and ultimately leads to a periodic transmission of plague disease. In this paper, we formulate a periodic epidemic model system by incorporating seasonal transmission rate in order to study the effect of seasonal weather variation on the dynamics of plague disease. We compute the basic reproduction number of a proposed model. We then use numerical simulation to illustrate the effect of different weather dependent parameters on the basic reproduction number. We are able to deduce that infection rate, progression rates from primary forms of plague disease to more severe forms of plague disease, and the infectious flea abundance affect, to a large extent, the number of bubonic, septicemic, and pneumonic plague infective agents. We recommend that it is more reasonable to consider these factors that have been shown to have a significant effect on RT for effective control strategies. |
| format | Article |
| id | doaj-art-c7b1e82a57c846659e6e418eee585621 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c7b1e82a57c846659e6e418eee5856212025-02-03T06:01:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252017-01-01201710.1155/2017/50580855058085The Effect of Seasonal Weather Variation on the Dynamics of the Plague DiseaseRigobert C. Ngeleja0Livingstone S. Luboobi1Yaw Nkansah-Gyekye2Nelson Mandela African Institution of Science and Technology (NM-AIST), Arusha, TanzaniaNelson Mandela African Institution of Science and Technology (NM-AIST), Arusha, TanzaniaNelson Mandela African Institution of Science and Technology (NM-AIST), Arusha, TanzaniaPlague is a historic disease which is also known to be the most devastating disease that ever occurred in human history, caused by gram-negative bacteria known as Yersinia pestis. The disease is mostly affected by variations of weather conditions as it disturbs the normal behavior of main plague disease transmission agents, namely, human beings, rodents, fleas, and pathogens, in the environment. This in turn changes the way they interact with each other and ultimately leads to a periodic transmission of plague disease. In this paper, we formulate a periodic epidemic model system by incorporating seasonal transmission rate in order to study the effect of seasonal weather variation on the dynamics of plague disease. We compute the basic reproduction number of a proposed model. We then use numerical simulation to illustrate the effect of different weather dependent parameters on the basic reproduction number. We are able to deduce that infection rate, progression rates from primary forms of plague disease to more severe forms of plague disease, and the infectious flea abundance affect, to a large extent, the number of bubonic, septicemic, and pneumonic plague infective agents. We recommend that it is more reasonable to consider these factors that have been shown to have a significant effect on RT for effective control strategies.http://dx.doi.org/10.1155/2017/5058085 |
| spellingShingle | Rigobert C. Ngeleja Livingstone S. Luboobi Yaw Nkansah-Gyekye The Effect of Seasonal Weather Variation on the Dynamics of the Plague Disease International Journal of Mathematics and Mathematical Sciences |
| title | The Effect of Seasonal Weather Variation on the Dynamics of the Plague Disease |
| title_full | The Effect of Seasonal Weather Variation on the Dynamics of the Plague Disease |
| title_fullStr | The Effect of Seasonal Weather Variation on the Dynamics of the Plague Disease |
| title_full_unstemmed | The Effect of Seasonal Weather Variation on the Dynamics of the Plague Disease |
| title_short | The Effect of Seasonal Weather Variation on the Dynamics of the Plague Disease |
| title_sort | effect of seasonal weather variation on the dynamics of the plague disease |
| url | http://dx.doi.org/10.1155/2017/5058085 |
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