Widayani, Heni and Nuraini, Nuning and Soewono, Edy
(2020)
*On the effect of host migration in host-vector transmission.*
Mathematical Theory and Modeling, 10 (5).
pp. 36-50.
ISSN 2225-0522

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## Abstract

Host-vector transmission is challenging to model, due to human and environmental factors influence complexity. The effect of human mobility on the dispersion of vector-borne diseases is studied here. The effect of human mobility among two-patches will be investigated through a host-vector model with a standard incidence rate and constant mobility rate of humans between both patches. If all hosts could migrate between patches, this model gives us a disease-free equilibrium and a co-endemic equilibrium. The basic reproduction number, R0 carried out as a threshold classifying the dynamics of the models when all hosts could migrate. We also consider a scenario if only unidirectional of infected host occurs which shows up a trans-critical bifurcation. The infected migration rate becomes an important parameter to change the co-endemic behavior to be a disease-free condition. Another scenario implement was a migration of healthy host only which shows that the basic reproduction ratio,

Item Type: | Journal Article |
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Keywords: | host-vector; host migration; basic reproduction number |

Subjects: | 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010202 Biological Mathematics 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications 11 MEDICAL AND HEALTH SCIENCES > 1117 Public Health and Health Services > 111706 Epidemiology 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics |

Divisions: | Faculty of Mathematics and Sciences > Department of Mathematics |

Depositing User: | Heni Widayani |

Date Deposited: | 08 Nov 2021 12:18 |

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