SIR economic epidemiological models with disease induced mortality

نویسندگان

چکیده

This paper studies an optimal growth model where there is infectious disease with SIR dynamics which can lead to mortality. Health expenditures (alternatively intensity of lockdowns) be made reduce infectivity the disease. We study implications two different ways related mortality – early and late in infection on equilibrium health economic outcomes. In former, increasing reduces infections by decreasing fraction infectives population, while latter increases. characterize steady states outcomes depend way modeled. With mortality, leads higher per capita output consumption these decrease. establish sufficiency conditions provide first results models without — a class are non-convex have endogenous discounting so that no existing applicable.

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

Global stability for SIR and SIRS models with differential mortality

We consider SIR and SIRS models with differential mortality. Global stability of equilibria is established by using Lyapunov’s method.

متن کامل

A lyapunov function and global properties for sir and seir epidemiological models with nonlinear incidence.

Explicit Lyapunov functions for SIR and SEIR compartmental epidemic models with nonlinear incidence of the form betaI(p)S(q) for the case p </= 1 are constructed. Global stability of the models is thereby established.

متن کامل

Lyapunov functions and global stability for SIR and SIRS epidemiological models with non-linear transmission.

Lyapunov functions for two-dimension SIR and SIRS compartmental epidemic models with non-linear transmission rate of a very general form f(S, I) constrained by a few biologically feasible conditions are constructed. Global properties of these models including these with vertical and horizontal transmission, are thereby established. It is proved that, under the constant population size assumptio...

متن کامل

Application of SIR epidemiological model: new trends

The simplest epidemiologic model composed by mutually exclusive compartments SIR (susceptible-infected-susceptible) is presented to describe a reality. From health concerns to situations related with marketing, informatics or even sociology, several are the fields that are using this epidemiological model as a first approach to better understand a situation. In this paper, the basic transmissio...

متن کامل

Viable control of an epidemiological SIR model

We consider vaccination control of the spread of an epidemy in a classical SIR model. Our approach aims at controlling the number infected at the peak. It differs from the widespread stationary vaccination control strategies, based upon having control reproductive number stricly less than one to ensure convergence, and also from cost minimization optimal control ones. Indeed, instead of aiming ...

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.2021.102476