*The Effect of Mosquito Biting Rate on the Malaria Transmission Model using Bifurcation Analysis / Zati Iwani Abdul Manaf...[et al.].*Journal of Mathematics and Computing Science, 1 (8). pp. 1-11. ISSN 0128-0767

## Abstract

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.

## Metadata

Item Type: | Article |
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Creators: | Creators Email / ID Num. Abdul Manaf, Zati Iwani zati431@uitm.edu.my Rosli, Nur Adiba Lyana UNSPECIFIED Mahmood, Nurul Aini UNSPECIFIED Yamin, Noor Alia UNSPECIFIED |

Subjects: | Q Science > QA Mathematics > Mathematical statistics. Probabilities Q Science > QA Mathematics > Mathematical statistics. Probabilities > Data processing Q Science > QA Mathematics > Factor analysis. Principal components analysis. Correspondence analysis |

Divisions: | Universiti Teknologi MARA, Kelantan > Machang Campus > Faculty of Computer and Mathematical Sciences |

Journal or Publication Title: | Journal of Mathematics and Computing Science |

UiTM Journal Collections: | UiTM Journal > Journal of Mathematics and Computing Science (JMCS) |

ISSN: | 0128-0767 |

Volume: | 1 |

Number: | 8 |

Page Range: | pp. 1-11 |

Keywords: | Malaria model, stability analysis, bifurcation analysis, transcritical bifurcation. |

Date: | 30 June 2022 |

URI: | https://ir.uitm.edu.my/id/eprint/63995 |