- Title
- Modelling African swine fever disease in domestic pigs with culling and removal of contaminated feeds
- Creator
- Ndivhuwo, Netshamutshedzi
- Subject
- African swine fever virus
- Subject
- domestic pigs-- South Africa
- Date Issued
- 2021-12
- Date
- 2021-12
- Type
- Master's theses
- Type
- text
- Identifier
- http://hdl.handle.net/10948/55822
- Identifier
- vital:53895
- Description
- In this study, a modelling African Swine Fever disease in domestic pigs with culling of infected pigs and removal of contaminated Feeds is studied. The goal of the study is to examine if culling of infected pigs and removal of contaminated food or water on pig farms can reduce the ASF trans mission in the domestic pig population. The SEAI-B model without control strategies is studied and analysed. It is shown that the solution for the system of model equations is both bounded and positive. We have found the disease free equilibrium point, basic reproductive number (using next generation method), local stability of disease free equilibrium (using Routh-Hurwitz criterion), global stability of disease free equilibrium, endemic equilibrium point (mathematica), existence of endemic equilibrium point, local stability of endemic equilibrium point (row echelon expression with the help of Maple 2.8) and global stability of endemic equilibrium point (Lyapunov function). Furthermore, sensitivity analysis is performed on the key parameters driving ASF Virus and to de termine their relative importance and potential impact on the dynamics of ASF Virus. Numerical result shows that if we increase the contact rate between susceptible pigs and infected pigs will re sults in increase ASF disease in the population. The SEAI-B model is reformulated incorporating culling of infected pigs and removal of contaminated food or water and analysed. Firstly, we found the disease free equilibrium point, basic reproductive number (using next generation method), local stability of disease free equilibrium point, global stability of disease free equilibrium point, endemic equilibrium point and local stability of endemic equilibrium point. Numerical result shows that if we increase culling of infected pigs and removal of contaminated food or water results in increase of susceptible pigs. The dynamic behavior of the model appears to be dependent on the culling of diseased pigs and the removal of contaminated food or water, according to numerical simulation. As a result, combining culling of infected pigs and removal of contaminated food or water as controls, it is possible to control the system in such a way that it approaches the desired state.
- Description
- Thesis (MSc) -- Faculty of Sciences, School of Computer Science, Mathematics, Physics and Statistics, 2021
- Format
- computer
- Format
- online resource
- Format
- application/pdf
- Format
- 1 online resource (xiii, 124 pages)
- Format
- Publisher
- Nelson Mandela University
- Publisher
- Faculty of Science
- Language
- English
- Rights
- Nelson Mandela University
- Rights
- All Rights Reserved
- Rights
- Open Access
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Collections
NMU School of Computer Science, Mathematics, Physics and Statistics
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | SOURCE1 | Netshamutshedzi, N.pdf | 1 MB | Adobe Acrobat PDF | View Details Download |