Persistent Age Distributions for An Age-Structured Two-Sex Population Model∗
نویسنده
چکیده
In this paper we formulate an age-structured two-sex population model which takes into account a monogamous marriage rule and the duration of marriage. We are mainly concerned with the existence of exponential solutions with a persistent age distribution. First we provide a semigroup method to deal with the time-evolution problem of our two-sex population model. Next, by constructing a fixed point mapping, we prove the existence of exponential solutions under homogeneity conditions.
منابع مشابه
Multiple Equilibria in an Age-Structured Two-Sex Population Model
The complexity of age-structured two-sex population models has inhibited analysis of the uniqueness or stability of persistent distributions (i.e., equilibria in which the population grows exponentially with a fixed proportion in each age class). To offer some insight, this paper examines a special case in which couples dissolve only through the death of a spouse, and widows never remarry. Addi...
متن کاملEffective population size and population subdivision in demographically structured populations.
A fast-timescale approximation is applied to the coalescent process in a single population, which is demographically structured by sex and/or age. This provides a general expression for the probability that a pair of alleles sampled from the population coalesce in the previous time interval. The effective population size is defined as the reciprocal of twice the product of generation time and t...
متن کاملTwo Population Dynamics Models with Child Care
We will present two age-structured population dynamics models taking into account child care. One of the models includes a harmonic mean type mating of sexes and parental care of offspring and is a generalization of the Hoppensteadt-Staroverov-Hadeler model [1] and a model in [2]. In this model each sex has pre-reproductive and reproductive age grades. All adult individuals (of reproductive age...
متن کاملModelling of a One-Sex Age-Structured Population Dynamics with Child Care
Abstract. The Sharpe-Lotka-Mckendrick-von Foerster one-sex population model and Fredrickson-Hoppensteadt-Staroverov two-sex population one are well known in mathematical biology. But they do not describe dynamics of populations with child care. In recent years some models were proposed to describe dynamics of the wild population with child care. Some of them are based on the notion of the densi...
متن کاملCorrection: Generating a Dynamic Synthetic Population – Using an Age-Structured Two-Sex Model for Household Dynamics
The first author’s name is incorrect in the citation. The correct citation is: Namazi-Rad M, Mokhtarian P, Perez P (2014) Generating a Dynamic Synthetic Population – Using an Age-Structured TwoSex Model for Household Dynamics. PLoS ONE 9(4): e94761. doi:10.1371/journal.pone.0094761 The first subheading in the Population Synthesis Methods section is incorrect. The correct subheading is: Syntheti...
متن کامل