Verification results for age-structured models of economic–epidemics dynamics

نویسندگان

چکیده

In this paper we propose a macro-dynamic age-structured set-up for the analysis of epidemics/economic dynamics in continuous time. The resulting optimal control problem is reformulated an infinite dimensional Hilbert space framework where perform basic steps dynamic programming approach. Our main result verification theorem which allows to guess feedback form strategies. This will be departure point discuss behavior models family introduce and their policy implications.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A 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 کامل

The replicator dynamics for age structured populations

1 Abstract In this paper is presented the new modelling framework combining the repli-cator dynamics (which is the standard model of the frequency dependent selection) with the Leslie Matrix model of the age-structured population. Firstly the continuous version of the discrete Leslie Matrix model is derived. It is shown that Euler–Lotka equation is satisfied when new model reaches the steady st...

متن کامل

The dynamics of hierarchical age-structured populations

An age-structured population is considered in which the birth and death rates of an individual of age a is a function of the density of individuals older and/or younger than a. An existence/uniqueness theorem is proved for the McKendrick equation that governs the dynamics of the age distribution function. This proof shows how a decoupled ordinary differential equation for the total population s...

متن کامل

Dynamics of an Age-structured Metapopulation Model

We introduce a metapopulation model that includes both landscape changes (patch destruction and recreation) and age-dependent metapopulation dynamics. A threshold quantity is derived and related to the existence of an ecologically nontrivial equilibrium, to the stability of the speciesfree equilibrium, and to weak and strong persistence of the species. We provide examples to illustrate how age-...

متن کامل

Analytic algorithms for Some Models of Nonlinear Age–Structured Population Dynamics and Epidemiology

Three analytic algorithms based on Adomian decomposition, homotopy perturbation and homotopy analysis methods are proposed to solve some models of nonlinear age-structured population dynamics and epidemiology. Truncating the resulting convergent infinite series, we obtain numerical solutions of high accuracy for these models. Three numerical examples are given to illustrate the simplicity and a...

متن کامل

ذخیره 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: Journal of Mathematical Economics

سال: 2021

ISSN: ['1873-1538', '0304-4068']

DOI: https://doi.org/10.1016/j.jmateco.2020.102455