Approximating reproduction numbers: a general numerical method for age-structured models.
Math Biosci Eng
; 21(4): 5360-5393, 2024 Mar 07.
Article
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| MEDLINE
| ID: mdl-38872539
ABSTRACT
In this paper, we introduce a general numerical method to approximate the reproduction numbers of a large class of multi-group, age-structured, population models with a finite age span. To provide complete flexibility in the definition of the birth and transition processes, we propose an equivalent formulation for the age-integrated state within the extended space framework. Then, we discretize the birth and transition operators via pseudospectral collocation. We discuss applications to epidemic models with continuous and piecewise continuous rates, with different interpretations of the age variable (e.g., demographic age, infection age and disease age) and the transmission terms (e.g., horizontal and vertical transmission). The tests illustrate that the method can compute different reproduction numbers, including the basic and type reproduction numbers as special cases.
Palabras clave
Texto completo:
1
Colección:
01-internacional
Base de datos:
MEDLINE
Asunto principal:
Simulación por Computador
/
Número Básico de Reproducción
Límite:
Humans
Idioma:
En
Revista:
Math Biosci Eng
Año:
2024
Tipo del documento:
Article
País de afiliación:
Italia
Pais de publicación:
Estados Unidos