Discrete-time population dynamics of spatially distributed semelparous two-sex populations.
J Math Biol
; 83(2): 18, 2021 07 28.
Article
em En
| MEDLINE
| ID: mdl-34322725
ABSTRACT
Spatially distributed populations with two sexes may face the problem that males and females concentrate in different parts of the habitat and mating and reproduction does not happen sufficiently often for the population to persist. For simplicity, to explore the impact of sex-dependent dispersal on population survival, we consider a discrete-time model for a semelparous population where individuals reproduce only once in their life-time, during a very short reproduction season. The dispersal of females and males is modeled by Feller kernels and the mating by a homogeneous pair formation function. The spectral radius of a homogeneous operator is established as basic reproduction number of the population, [Formula see text]. If [Formula see text], the extinction state is locally stable, and if [Formula see text] the population shows various degrees of persistence that depend on the irreducibility properties of the dispersal kernels. Special cases exhibit how sex-biased dispersal affects the persistence of the population.
Palavras-chave
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Ecossistema
/
Modelos Biológicos
Tipo de estudo:
Prognostic_studies
Limite:
Female
/
Humans
/
Male
Idioma:
En
Revista:
J Math Biol
Ano de publicação:
2021
Tipo de documento:
Article
País de afiliação:
Estados Unidos