A Mathematical Model For The Population Dynamics Of Disease Transmiting Vectors in Particular Female Anopheles Mosquitoes.
In this paper we present a mathematical model of population dynamics of female anopheles mosquitoes. The threshold dynamics of this model is determined and the stability of equilibrium points have been obtained using the jacobian matrix. The mosquito free equilibrium and endemic equilibrium have bee...
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| Format: | Thesis |
| Language: | en_US |
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Kabale University
2024
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| Online Access: | http://hdl.handle.net/20.500.12493/1790 |
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| author | Turyamusiima, Richard |
| author_facet | Turyamusiima, Richard |
| author_sort | Turyamusiima, Richard |
| collection | KAB-DR |
| description | In this paper we present a mathematical model of population dynamics of female anopheles mosquitoes. The threshold dynamics of this model is determined and the stability of equilibrium points have been obtained using the jacobian matrix. The mosquito free equilibrium and endemic equilibrium have been determined by setting system of ordinary differential equations to zero. Basic reproduction has been determined using the next generation matrix management analyzed. Hence. we show that if the threshold dynamics quantities are less than unity, the mosquitos' population decreases to zero but if they are greater than unity, mosquitos' population persists. |
| format | Thesis |
| id | oai:idr.kab.ac.ug:20.500.12493-1790 |
| institution | KAB-DR |
| language | en_US |
| publishDate | 2024 |
| publisher | Kabale University |
| record_format | dspace |
| spelling | oai:idr.kab.ac.ug:20.500.12493-17902024-06-12T07:25:15Z A Mathematical Model For The Population Dynamics Of Disease Transmiting Vectors in Particular Female Anopheles Mosquitoes. Turyamusiima, Richard Mathematical Model Population Dynamics Disease Transmiting Vectors Female Anopheles Mosquitoes In this paper we present a mathematical model of population dynamics of female anopheles mosquitoes. The threshold dynamics of this model is determined and the stability of equilibrium points have been obtained using the jacobian matrix. The mosquito free equilibrium and endemic equilibrium have been determined by setting system of ordinary differential equations to zero. Basic reproduction has been determined using the next generation matrix management analyzed. Hence. we show that if the threshold dynamics quantities are less than unity, the mosquitos' population decreases to zero but if they are greater than unity, mosquitos' population persists. 2024-01-23T09:46:10Z 2024-01-23T09:46:10Z 2019 Thesis Turyamusiima, Richard (2019). A Mathematical Model For The Population Dynamics Of Disease Transmiting Vectors in Particular Female Anopheles Mosquitoes. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/1790 en_US Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf Kabale University |
| spellingShingle | Mathematical Model Population Dynamics Disease Transmiting Vectors Female Anopheles Mosquitoes Turyamusiima, Richard A Mathematical Model For The Population Dynamics Of Disease Transmiting Vectors in Particular Female Anopheles Mosquitoes. |
| title | A Mathematical Model For The Population Dynamics Of Disease Transmiting Vectors in Particular Female Anopheles Mosquitoes. |
| title_full | A Mathematical Model For The Population Dynamics Of Disease Transmiting Vectors in Particular Female Anopheles Mosquitoes. |
| title_fullStr | A Mathematical Model For The Population Dynamics Of Disease Transmiting Vectors in Particular Female Anopheles Mosquitoes. |
| title_full_unstemmed | A Mathematical Model For The Population Dynamics Of Disease Transmiting Vectors in Particular Female Anopheles Mosquitoes. |
| title_short | A Mathematical Model For The Population Dynamics Of Disease Transmiting Vectors in Particular Female Anopheles Mosquitoes. |
| title_sort | mathematical model for the population dynamics of disease transmiting vectors in particular female anopheles mosquitoes |
| topic | Mathematical Model Population Dynamics Disease Transmiting Vectors Female Anopheles Mosquitoes |
| url | http://hdl.handle.net/20.500.12493/1790 |
| work_keys_str_mv | AT turyamusiimarichard amathematicalmodelforthepopulationdynamicsofdiseasetransmitingvectorsinparticularfemaleanophelesmosquitoes AT turyamusiimarichard mathematicalmodelforthepopulationdynamicsofdiseasetransmitingvectorsinparticularfemaleanophelesmosquitoes |