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Non-fractional and fractional mathematical analysis and simulations for Q fever
This article is published by Elsevier 2022 and is also available at https://doi.org/10.1016/j.chaos.2022.111821
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| Language: | English |
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Elsevier
2024
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| _version_ | 1867613139139297281 |
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| access_status_str | Open Access |
| author | Asamoah, Joshua Kiddy K. Okyere, Eric Yankson, Ernest Opoku, Alex Akwasi Adom-Konadu, Agnes Acheampong, Edward Arthur, Yarhands Dissou |
| author2 | 0000-0002-7066-246X |
| author_browse | 0000-0002-7066-246X Acheampong, Edward Adom-Konadu, Agnes Arthur, Yarhands Dissou Asamoah, Joshua Kiddy K. Okyere, Eric Opoku, Alex Akwasi Yankson, Ernest |
| author_facet | 0000-0002-7066-246X Asamoah, Joshua Kiddy K. Okyere, Eric Yankson, Ernest Opoku, Alex Akwasi Adom-Konadu, Agnes Acheampong, Edward Arthur, Yarhands Dissou |
| author_sort | Asamoah, Joshua Kiddy K. |
| collection | Thesis |
| description | This article is published by Elsevier 2022 and is also available at https://doi.org/10.1016/j.chaos.2022.111821 |
| format | Article |
| id | oai:ir.knust.edu.gh:123456789/15966 |
| institution | KNUST (Ghana) |
| language | English |
| last_indexed | 2026-06-10T12:31:23.640Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from KNUSTSpace — Kwame Nkrumah University of Science & Technology (Ghana) |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | Elsevier |
| publisherStr | Elsevier |
| record_format | dspace |
| source_str | KNUSTSpace — Kwame Nkrumah University of Science & Technology (Ghana) |
| spelling | oai:ir.knust.edu.gh:123456789/15966 Non-fractional and fractional mathematical analysis and simulations for Q fever Asamoah, Joshua Kiddy K. Okyere, Eric Yankson, Ernest Opoku, Alex Akwasi Adom-Konadu, Agnes Acheampong, Edward Arthur, Yarhands Dissou 0000-0002-7066-246X This article is published by Elsevier 2022 and is also available at https://doi.org/10.1016/j.chaos.2022.111821 The purpose of analysing the transmission dynamism of Q fever (Coxiellosis) in livestock and incorpo- rating ticks is to outline some management practices to minimise the spread of the disease in livestock. Ticks pass coxiellosis from an infected to a susceptible animal through a bite. The faecal matter can also contain coxiellosis, thus contaminating the environment and spreading the disease. First, a nonlinear integer order mathematical model is developed to represent the spread of this infectious disease in live- stock. The proposed integer model investigates the positivity and boundedness, disease equilibria, basic reproduction number, bifurcation, and sensitivity analysis. Through mathematical analysis and numerical simulations, it shows that if the environmental transmission and the effective shedding rate of coxiella burnetii into the environment by both asymptomatic and symptomatic livestock are zero, then the usual threshold hold and it produces forward bifurcation. It is noticed that an increase in the recruitment rate of ticks produces backward bifurcation. And also, it is seen that an increase in the natural decay rate of the bacterial in the environment reduces the backward bifurcation point. Furthermore, to take care of the memory aspect of ticks on their host, we modified the initially proposed integer order model by introducing Caputo, Caputo-Fabrizio, Atangana-Baleanu fractional differential operators. The existence and uniqueness of these three newly developed fractional-order differential models are shown using the Banach fixed point theorem. Numerical trajectories are obtained for each of the fractional-order math- ematical models. The trajectory of some fractional orders converges to the same endemic equilibrium point as the integer order. Finally, it is seen that the Atangana-Baleanu fractional differential operator captures more susceptibilities and fewer infections than the other operators. KNUST 2024-11-20T13:04:15Z 2024-11-20T13:04:15Z 2022-01 Article Chaos, Solitons and Fractals 156 (2022) 111821 https://doi.org/10.1016/j.chaos.2022.111821 https://ir.knust.edu.gh/handle/123456789/15966 en application/pdf Elsevier |
| spellingShingle | Asamoah, Joshua Kiddy K. Okyere, Eric Yankson, Ernest Opoku, Alex Akwasi Adom-Konadu, Agnes Acheampong, Edward Arthur, Yarhands Dissou Non-fractional and fractional mathematical analysis and simulations for Q fever |
| title | Non-fractional and fractional mathematical analysis and simulations for Q fever |
| title_full | Non-fractional and fractional mathematical analysis and simulations for Q fever |
| title_fullStr | Non-fractional and fractional mathematical analysis and simulations for Q fever |
| title_full_unstemmed | Non-fractional and fractional mathematical analysis and simulations for Q fever |
| title_short | Non-fractional and fractional mathematical analysis and simulations for Q fever |
| title_sort | non fractional and fractional mathematical analysis and simulations for q fever |
| url | https://doi.org/10.1016/j.chaos.2022.111821 https://ir.knust.edu.gh/handle/123456789/15966 |
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