The Effect of Mosquito Biting Rate on the Malaria Transmission Model using Bifurcation Analysis / Zati Iwani Abdul Manaf...[et al.]
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-dimensiona...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | en |
| Published: |
2022
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| Subjects: | |
| 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/ |
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| Summary: | 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. |
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