Spatial models of vector-host epidemics with directed movement of vectors over long distances.
Math Biosci
; 312: 77-87, 2019 06.
Article
en En
| MEDLINE
| ID: mdl-31039365
ABSTRACT
We investigate a time-dependent spatial vector-host epidemic model with non-coincident domains for the vector and host populations. The host population resides in small non-overlapping sub-regions, while the vector population resides throughout a much larger region. The dynamics of the populations are modeled by a reaction-diffusion-advection compartmental system of partial differential equations. The disease is transmitted through vector and host populations in criss-cross fashion. We establish global well-posedness and uniform a prior bounds as well as the long-term behavior. The model is applied to simulate the outbreak of bluetongue disease in sheep transmitted by midges infected with bluetongue virus. We show that the long-range directed movement of the midge population, due to wind-aided movement, enhances the transmission of the disease to sheep in distant sites.
Palabras clave
Texto completo:
1
Banco de datos:
MEDLINE
Asunto principal:
Lengua Azul
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Virus de la Lengua Azul
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Vectores de Enfermedades
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Interacciones Huésped-Patógeno
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Epidemias
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Análisis Espacio-Temporal
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Modelos Biológicos
Límite:
Animals
Idioma:
En
Año:
2019
Tipo del documento:
Article