The Effect of Mosquito Biting Rate on the Malaria Transmission Model using Bifurcation Analysis / Zati Iwani Abdul Manaf...[et al.]

• Main Authors: Abdul Manaf, Zati Iwani (Author), Rosli, Nur Adiba Lyana (Author), Mahmood, Nurul Aini (Author), Yamin, Noor Alia (Author)
• Format: Book
• Published: 2022-06-30.
• Subjects: Article; PeerReviewed
• Online Access: Link Metadata
• Notes: https://ir.uitm.edu.my/id/eprint/63995/1/63995.pdf
• Keywords: Mathematical statistics. Probabilities; Data processing; Factor analysis. Principal components analysis. Correspondence analysis

This paper analyses a simple malaria transmission model to investigate the effect of parameter changes in mosquitoes per capita biting rate on human population, β , by using the bifurcation analysis. For further investigation, we first formulated the malaria transmission model into a non-dimensionalized equation. Next, we employed the stability analysis of disease-free equilibrium and endemic equilibrium point of malaria transmission. Using the same non-dimensionalized equation, the one-parameter bifurcation analysis was conducted. A few graphs of the bifurcation diagram, phase plane and time series plot are displayed with the help of mathematical software such as XPPAUT, Maple, and Matlab. Findings reveal that a transcritical bifurcation occurred due to changes in the stability of the system's equilibrium. When the parameter value of β increases, the infected human and infected mosquito population decreases. This finding demonstrates that changes in mosquito biting rates could have an effect on both infected humans and mosquito population.