Mathematical Modelling and Analysis of Transmission Dynamics of Lassa fever
In this work, a periodically-forced seasonal non-autonomous system of a non-linear ordinary differential equation is developed that captures the dynamics of Lassa fever transmission and seasonal variation in the birth of mastomys rodents where time was measured in days to capture seasonality. It was...
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| creator | A, Bakare E B, Are E E, Abolarin O A, Osanyinlusi S Benitho, Ngwu N, Ubaka Obiaderi |
| description | In this work, a periodically-forced seasonal non-autonomous system of a
non-linear ordinary differential equation is developed that captures the
dynamics of Lassa fever transmission and seasonal variation in the birth of
mastomys rodents where time was measured in days to capture seasonality. It was
shown that the model is epidemiologically meaningful and mathematically
well-posed by using the results from the qualitative properties of the solution
of the model. It was established that in order to eliminate Lassa fever
disease, treatments with Ribavirin must be provided early to reduce mortality
and other preventive measures like an educational campaign, community hygiene,
Isolation of infected humans, and culling/destruction of rodents must be
applied to also reduce the morbidity of the disease. Finally, the obtained
results gave a primer framework for planning and designing cost-effective
strategies for good interventions in eliminating Lassa fever. |
| doi_str_mv | 10.48550/arxiv.1910.05846 |
| format | Article |
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non-linear ordinary differential equation is developed that captures the
dynamics of Lassa fever transmission and seasonal variation in the birth of
mastomys rodents where time was measured in days to capture seasonality. It was
shown that the model is epidemiologically meaningful and mathematically
well-posed by using the results from the qualitative properties of the solution
of the model. It was established that in order to eliminate Lassa fever
disease, treatments with Ribavirin must be provided early to reduce mortality
and other preventive measures like an educational campaign, community hygiene,
Isolation of infected humans, and culling/destruction of rodents must be
applied to also reduce the morbidity of the disease. Finally, the obtained
results gave a primer framework for planning and designing cost-effective
strategies for good interventions in eliminating Lassa fever.</description><identifier>DOI: 10.48550/arxiv.1910.05846</identifier><language>eng</language><subject>Quantitative Biology - Populations and Evolution ; Statistics - Applications ; Statistics - Computation</subject><creationdate>2019-10</creationdate><rights>http://creativecommons.org/licenses/by-nc-sa/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1910.05846$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1910.05846$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>A, Bakare E</creatorcontrib><creatorcontrib>B, Are E</creatorcontrib><creatorcontrib>E, Abolarin O</creatorcontrib><creatorcontrib>A, Osanyinlusi S</creatorcontrib><creatorcontrib>Benitho, Ngwu</creatorcontrib><creatorcontrib>N, Ubaka Obiaderi</creatorcontrib><title>Mathematical Modelling and Analysis of Transmission Dynamics of Lassa fever</title><description>In this work, a periodically-forced seasonal non-autonomous system of a
non-linear ordinary differential equation is developed that captures the
dynamics of Lassa fever transmission and seasonal variation in the birth of
mastomys rodents where time was measured in days to capture seasonality. It was
shown that the model is epidemiologically meaningful and mathematically
well-posed by using the results from the qualitative properties of the solution
of the model. It was established that in order to eliminate Lassa fever
disease, treatments with Ribavirin must be provided early to reduce mortality
and other preventive measures like an educational campaign, community hygiene,
Isolation of infected humans, and culling/destruction of rodents must be
applied to also reduce the morbidity of the disease. Finally, the obtained
results gave a primer framework for planning and designing cost-effective
strategies for good interventions in eliminating Lassa fever.</description><subject>Quantitative Biology - Populations and Evolution</subject><subject>Statistics - Applications</subject><subject>Statistics - Computation</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotz81KxDAUBeBsXMjoA7gyL9AxP03nZjmMv9jBTfflNr3RQJpKMgz27dXq6sA5cOBj7EaKbQ3GiDvMX-G8lfanEAbq5pK9HvH0QROegsPIj_NIMYb0zjGNfJ8wLiUUPnveZUxlCqWEOfH7JeEU3Dq0WApyT2fKV-zCYyx0_Z8b1j0-dIfnqn17ejns2wqbXVPhKKgG7cDDKLXz6IDcToDFWjg9SAAllJED2QbImoGEV0qhsoI8KCX0ht3-3a6a_jOHCfPS_6r6VaW_Ab31R8g</recordid><startdate>20191013</startdate><enddate>20191013</enddate><creator>A, Bakare E</creator><creator>B, Are E</creator><creator>E, Abolarin O</creator><creator>A, Osanyinlusi S</creator><creator>Benitho, Ngwu</creator><creator>N, Ubaka Obiaderi</creator><scope>ALC</scope><scope>EPD</scope><scope>GOX</scope></search><sort><creationdate>20191013</creationdate><title>Mathematical Modelling and Analysis of Transmission Dynamics of Lassa fever</title><author>A, Bakare E ; B, Are E ; E, Abolarin O ; A, Osanyinlusi S ; Benitho, Ngwu ; N, Ubaka Obiaderi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a676-ad0e483c8f8d13cfac8ec7089a40c3b18820251be968e95be0f222a290ef82203</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Quantitative Biology - Populations and Evolution</topic><topic>Statistics - Applications</topic><topic>Statistics - Computation</topic><toplevel>online_resources</toplevel><creatorcontrib>A, Bakare E</creatorcontrib><creatorcontrib>B, Are E</creatorcontrib><creatorcontrib>E, Abolarin O</creatorcontrib><creatorcontrib>A, Osanyinlusi S</creatorcontrib><creatorcontrib>Benitho, Ngwu</creatorcontrib><creatorcontrib>N, Ubaka Obiaderi</creatorcontrib><collection>arXiv Quantitative Biology</collection><collection>arXiv Statistics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>A, Bakare E</au><au>B, Are E</au><au>E, Abolarin O</au><au>A, Osanyinlusi S</au><au>Benitho, Ngwu</au><au>N, Ubaka Obiaderi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mathematical Modelling and Analysis of Transmission Dynamics of Lassa fever</atitle><date>2019-10-13</date><risdate>2019</risdate><abstract>In this work, a periodically-forced seasonal non-autonomous system of a
non-linear ordinary differential equation is developed that captures the
dynamics of Lassa fever transmission and seasonal variation in the birth of
mastomys rodents where time was measured in days to capture seasonality. It was
shown that the model is epidemiologically meaningful and mathematically
well-posed by using the results from the qualitative properties of the solution
of the model. It was established that in order to eliminate Lassa fever
disease, treatments with Ribavirin must be provided early to reduce mortality
and other preventive measures like an educational campaign, community hygiene,
Isolation of infected humans, and culling/destruction of rodents must be
applied to also reduce the morbidity of the disease. Finally, the obtained
results gave a primer framework for planning and designing cost-effective
strategies for good interventions in eliminating Lassa fever.</abstract><doi>10.48550/arxiv.1910.05846</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Quantitative Biology - Populations and Evolution Statistics - Applications Statistics - Computation |
| title | Mathematical Modelling and Analysis of Transmission Dynamics of Lassa fever |
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