Analysis of malaria transmission dynamics in human and mosquito populations
| dc.contributor.author | Shaanika, Hilma Yvonne | |
| dc.date.accessioned | 2024-05-30T09:47:03Z | |
| dc.date.available | 2024-05-30T09:47:03Z | |
| dc.date.issued | 2024 | |
| dc.description | A mini-thesis submitted in partial fulfilment of the requirement for the degree of master of science in applied mathematics | |
| dc.description.abstract | This mini-thesis presents a deterministic mathematical model for the spread of malaria in human and mosquito populations. The human population is divided into four com partments while mosquito population is divided into three compartments. Suscepti ble humans can be infected when they are bitten by an infected mosquito, they then progress through the exposed, infected, recovered before going back to the susceptible class. Susceptible mosquitoes can be exposed to the disease and once they are exposed, they can be infected, and remain infected until they die. Basic reproduction number, R0 was established and used to determine whether the disease dies out or persists in the population. It was shown that the disease-free equilibrium point is locally asymptoti cally stable when R0 < 1 and unstable when R0 > 1. Quantitative analysis of the model was carried out to confirm the findings from qualitative analysis. Result obtained indi cate that the findings of quantitative analysis correspond to the findings of qualitative analysis. It was proven qualitatively that R0 < 1, which corresponds to the results of the sensitivity analysis, that was carried out quantitatively. It was recommended that future work can be done to investigate the stability of the endemic equilibrium point | |
| dc.identifier.uri | http://hdl.handle.net/11070/3860 | |
| dc.language.iso | en | |
| dc.publisher | University of Namibia | |
| dc.subject | Reproduction number | |
| dc.subject | Routh-Hurwitz criterion | |
| dc.subject | Mathematical model | |
| dc.subject | Local stability | |
| dc.subject | Steady states | |
| dc.title | Analysis of malaria transmission dynamics in human and mosquito populations | |
| dc.type | Thesis |