Vector borne diseases on an urban environment: the effects of heterogeneity and human circulation - Archive ouverte HAL Access content directly
Journal Articles Ecological Complexity Year : 2017

## Vector borne diseases on an urban environment: the effects of heterogeneity and human circulation

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Abderrahman Iggidr
Maria Lucia F. Penna
• Function : Author
• PersonId : 943005
Gauthier Sallet
Moacyr Alvim Silva Silva
• Function : Author
• PersonId : 943003
Max O. Souza
• Function : Author
• PersonId : 943006

#### Abstract

We study the effect of human circulation and host/vector heterogeneities on the onset of epidemics of arboviruses. From a meta-population dynamics based on the classical Bailey-Dietz model, we derive a multi-group model under three assumptions: (i) fast host sojourn timescale ; (ii) mosquitoes do not move; (iii) time homogeneity and strong connectivity of human circulation. Within this modelling framework, three different kinds of $R_0$ appear: (i) the " true " or " global " $R_0$ —derived from the corresponding next generation matrix; (ii) the uniform $R_0$—obtained if the patches are taken homogeneous; (iii) the local $R_0$s—obtained if the patches are disconnected. We show that there is relevant epidemiological information associated to all of them. In particular, they can be used to understand the effects of changing the circulation on the value of the global $R_0$. We also present additional results on the effects on $R_0$ of different vector control policies, and a simulation with data from the city of Rio de Janeiro, Brazil.

### Dates and versions

hal-01422432 , version 1 (25-12-2016)

### Identifiers

• HAL Id : hal-01422432 , version 1
• DOI :

### Cite

Abderrahman Iggidr, Jair Koiller, Maria Lucia F. Penna, Gauthier Sallet, Moacyr Alvim Silva Silva, et al.. Vector borne diseases on an urban environment: the effects of heterogeneity and human circulation. Ecological Complexity, 2017, 30, pp.76--90. ⟨10.1016/j.ecocom.2016.12.006⟩. ⟨hal-01422432⟩

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