On the effect of host migration in host-vector transmission

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

[img] Text
9502.pdf - Published Version

Download (476kB)
Full text available at: https://www.iiste.org/Journals/index.php/MTM/artic...

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
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

Downloads

Downloads per month over past year

Origin of downloads

Actions (login required)

View Item View Item