Numerical Analysis of the Age-Sex-Structured Population Dynamics Taking into Account Spatial Diffusion
نویسندگان
چکیده
Abstract. We present results of the numerical investigation of the homogenous Dirichlet and Neumann problems to an age-sex-structured population dynamics deterministic model taking into account random mating, female’s pregnancy, and spatial diffusion. We prove the existence of separable solutions to the non-dispersing population model and, by using the numerical experiment, corroborate their local stability.
منابع مشابه
Modelling 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 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 کاملA Mathematical Analysis of an Age-sex-space-structured Population Dynamics Model with Random Mating and Females' Pregnancy
We discuss an age-sex-structured population dynamics deterministic model taking into account random mating of sexes, females’ pregnancy and its dispersal in whole space. This model can be derived from the previous one (Skakauskas, 1995) describing migration mechanism by the general linear elliptic operator of second order and includes the male, single (nonfertilized) female and fertilized femal...
متن کاملA Numerical Method for Spatial Diffusion in Age-Structured Populations
We propose a method to approximate numerically the diffusion of an age-structured population in a spatial environment. We integrate separately the age and time variables by finite differences and we discretize the space variable by finite elements. The method is implicit in time and, inside each time step, implicit in age. We provide stability and convergence results and we illustrate our appro...
متن کاملA One-Sex Population Dynamics Model with Discrete Set of Offsprings and Child Care
Abstract. We present a one-sex age-structured population dynamics deterministic model with a discrete set of offsprings, child care, environmental pressure, and spatial migration. All individuals have pre-reproductive, reproductive, and post-reproductive age intervals. Individuals of reproductive age are divided into fertile single and taking child care groups. All individuals of pre-reproducti...
متن کامل