visitant ::
identificació
|
|||||||||||||||
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español |
Pàgina inicial > Articles > Articles publicats > On the basic reproduction number in continuously structured populations |
Data: | 2021 |
Resum: | In the framework of population dynamics, the basic reproduction number (Formula presented. ) is, by definition, the expected number of offspring that an individual has during its lifetime. In constant and time periodic environments, it is calculated as the spectral radius of the so-called next-generation operator. In continuously structured populations defined in a Banach lattice X with concentrated states at birth, one cannot define the next-generation operator in X. In the present paper, we present an approach to compute the basic reproduction number of such models as the limit of the basic reproduction number of a sequence of models for which (Formula presented. ) can be computed as the spectral radius of the next-generation operator. We apply these results to some examples: the (classical) size-dependent model, a size-structured cell population model, a size-structured model with diffusion in structure space (under some particular assumptions), and a (physiological) age-structured model with diffusion in structure space. |
Ajuts: | Agencia Estatal de Investigación MTM2017-84214-C2-2-P Ministerio de Ciencia e Innovación RED2018-102650-T |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Basic reproduction number ; Next-generation operator ; Physiologically structured population |
Publicat a: | Mathematical methods in the applied sciences, Vol. 44, Issue 1 (January 2021) , p. 799-812, ISSN 1099-1476 |
Postprint 19 p, 512.9 KB |