Competitive exclusion and coexistence in a two-strain pathogen model with diffusion.
Math Biosci Eng
; 13(1): 1-18, 2016 Feb.
Article
en En
| MEDLINE
| ID: mdl-26776256
ABSTRACT
We consider a two-strain pathogen model described by a system of reaction-diffusion equations. We define a basic reproduction number R0 and show that when the model parameters are constant (spatially homogeneous), if R0 >1 then one strain will outcompete the other strain and drive it to extinction, but if R0 ≤ 1 then the disease-free equilibrium is globally attractive. When we assume that the diffusion rates are equal while the transmission and recovery rates are heterogeneous, then there are two possible outcomes under the condition R0 < 1 1) Competitive exclusion where one strain dies out. 2) Coexistence between the two strains. Thus, spatial heterogeneity promotes coexistence.
Texto completo:
1
Banco de datos:
MEDLINE
Asunto principal:
Reproducción
/
Dinámica Poblacional
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Modelos Estadísticos
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Conducta Competitiva
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Extinción Biológica
/
Modelos Biológicos
Tipo de estudio:
Risk_factors_studies
Límite:
Animals
/
Humans
Idioma:
En
Año:
2016
Tipo del documento:
Article