Modelling the super-infection of two strains of dengue virus
Abstract Dengue is one of the vector borne diseases that threatened human race. It is imperative to understand the transmission dynamics of dengue, so that proficient and useful control can be developed. In this paper, we formulated dynamic transmission of two strains super-infection dengue. We used...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s42787-023-00161-6 |
| _version_ | 1797863468437602304 |
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| author | Adetayo Samuel Eegunjobi Michael Chimezie Anyanwu S. N. Neossi-Nguetchue |
| author_facet | Adetayo Samuel Eegunjobi Michael Chimezie Anyanwu S. N. Neossi-Nguetchue |
| author_sort | Adetayo Samuel Eegunjobi |
| collection | DOAJ |
| description | Abstract Dengue is one of the vector borne diseases that threatened human race. It is imperative to understand the transmission dynamics of dengue, so that proficient and useful control can be developed. In this paper, we formulated dynamic transmission of two strains super-infection dengue. We used next generation matrix to obtain the basic reproduction numbers $${\mathcal {R}}_1$$ R 1 , $${\mathcal {R}}_2$$ R 2 , $${\mathcal {R}}_{12}$$ R 12 . The obtained basic reproduction numbers are then used to test for stabilities whenever $${\mathcal {R}}_1<1$$ R 1 < 1 , $${\mathcal {R}}_2<1$$ R 2 < 1 , $${\mathcal {R}}_{12}<1$$ R 12 < 1 , disease free-equilibrium is globally asymptotically stable or otherwise unstable. We also carried out numerical simulation with the aid of python software. Our results reveal that decreasing the value of tansmission probability $$\alpha ,$$ α , slows down the spread of the disease. |
| first_indexed | 2024-04-09T22:36:03Z |
| format | Article |
| id | doaj.art-76adbbd1b26a43879bdf95c2823d8e68 |
| institution | Directory Open Access Journal |
| issn | 2090-9128 |
| language | English |
| last_indexed | 2024-04-09T22:36:03Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-76adbbd1b26a43879bdf95c2823d8e682023-03-22T12:28:10ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282023-02-0131111210.1186/s42787-023-00161-6Modelling the super-infection of two strains of dengue virusAdetayo Samuel Eegunjobi0Michael Chimezie Anyanwu1S. N. Neossi-Nguetchue2Mathematics Department, Namibia University of Science and TechnologyDepartment of Mathematics, Michael Okpara University of AgricultureMathematics Department, Namibia University of Science and TechnologyAbstract Dengue is one of the vector borne diseases that threatened human race. It is imperative to understand the transmission dynamics of dengue, so that proficient and useful control can be developed. In this paper, we formulated dynamic transmission of two strains super-infection dengue. We used next generation matrix to obtain the basic reproduction numbers $${\mathcal {R}}_1$$ R 1 , $${\mathcal {R}}_2$$ R 2 , $${\mathcal {R}}_{12}$$ R 12 . The obtained basic reproduction numbers are then used to test for stabilities whenever $${\mathcal {R}}_1<1$$ R 1 < 1 , $${\mathcal {R}}_2<1$$ R 2 < 1 , $${\mathcal {R}}_{12}<1$$ R 12 < 1 , disease free-equilibrium is globally asymptotically stable or otherwise unstable. We also carried out numerical simulation with the aid of python software. Our results reveal that decreasing the value of tansmission probability $$\alpha ,$$ α , slows down the spread of the disease.https://doi.org/10.1186/s42787-023-00161-6DengueSuper-infectionModellingAnalysisDynamicsTransmission |
| spellingShingle | Adetayo Samuel Eegunjobi Michael Chimezie Anyanwu S. N. Neossi-Nguetchue Modelling the super-infection of two strains of dengue virus Journal of the Egyptian Mathematical Society Dengue Super-infection Modelling Analysis Dynamics Transmission |
| title | Modelling the super-infection of two strains of dengue virus |
| title_full | Modelling the super-infection of two strains of dengue virus |
| title_fullStr | Modelling the super-infection of two strains of dengue virus |
| title_full_unstemmed | Modelling the super-infection of two strains of dengue virus |
| title_short | Modelling the super-infection of two strains of dengue virus |
| title_sort | modelling the super infection of two strains of dengue virus |
| topic | Dengue Super-infection Modelling Analysis Dynamics Transmission |
| url | https://doi.org/10.1186/s42787-023-00161-6 |
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