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, Rosli, Nur Adiba Lyana, Mahmood, Nurul Aini, Yamin, Noor Alia
• Format: Article
• Language: English
• Published: 2022
• Subjects: Mathematical statistics. Probabilities; Data processing; Factor analysis. Principal components analysis. Correspondence analysis
• Online Access: https://ir.uitm.edu.my/id/eprint/63995/1/63995.pdf; https://ir.uitm.edu.my/id/eprint/63995/; https://jmcs.com.my/
• Institution: Universiti Teknologi Mara

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.