Analysis and numerics for an age- and sex-structured population model
نویسندگان
چکیده
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 کاملPersistent Age Distributions for An Age-Structured Two-Sex Population Model∗
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 po...
متن کاملThe logistic, two-sex, age-structured population model.
In this paper, we introduce the logistic effect into the two-sex population model introduced by Hoppensteadt. We address the problem of existence and uniqueness of continuous and classical solutions. We first give sufficient conditions for a unique continuous solution to exist locally and also globally. Next, the existence of classical solutions is established under some mild assumptions on the...
متن کاملA Note on the Convergence of the Homotopy Analysis Method for Nonlinear Age-Structured Population Models
In this paper, a theorem is proved which presents the series solution obtained from the homotopy analysis method is convergent to the exact solution of nonlinear age-structured population models.
متن کاملGenerating a Dynamic Synthetic Population – Using an Age-Structured Two-Sex Model for Household Dynamics
Generating a reliable computer-simulated synthetic population is necessary for knowledge processing and decision-making analysis in agent-based systems in order to measure, interpret and describe each target area and the human activity patterns within it. In this paper, both synthetic reconstruction (SR) and combinatorial optimisation (CO) techniques are discussed for generating a reliable synt...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerical Methods for Partial Differential Equations
سال: 2015
ISSN: 0749-159X
DOI: 10.1002/num.22032