Power-series solution of compartmental epidemiological models

نویسندگان

چکیده

In this work, power-series solutions of compartmental epidemiological models are used to provide alternate methods solve the corresponding systems nonlinear differential equations. A simple and classical SIR model is considered reveal clearly idea our approach. Moreover, a SAIRP also analyzed by using same methodology, previously applied COVID-19 pandemic. Numerical experiments performed show accuracy

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

epiModel: A system to build automatically systems of differential equations of compartmental type-epidemiological models

In this paper we describe epiModel, a code developed in Mathematica that facilitates the building of systems of differential equations corresponding to type-epidemiological linear or quadratic models whose characteristics are defined in text files following an easy syntax. It includes the possibility of obtaining the equations of models involving age and/or sex groups.

متن کامل

Compartmental models of immunological tolerance

An administration of large doses of an antigen brings about immunological tolerance (unresponsiveness) to the next challenge with the same antigen. A hypothesis on the mechanism of tolerance to Human Serum Albumin (HSA) induced in chickens was formulated mathematically using compartmental models. By comparison of the modelled and experimental results, the presence of some additional mechanism w...

متن کامل

Analyzing the impact of modeling choices and assumptions in compartmental epidemiological models

Computational disease spread models can be broadly classified into differential equation-based (EBM) and agentbased models (ABM). We examine these models in the context of illuminating their hidden assumptions and the impact these may have on the model outcomes. Drawing relevant conclusions about usability of a model requires reliable information regarding its modeling strategy and its associat...

متن کامل

Compartmental models of growing neurites

To investigate the morphological and electrical development of neurons using computer models it is useful to extend the compartmental modelling framework to include the situation where neurites (dendrites and axons) may change their length, diameter and membrane characteristics over time. This requires changing the size and other properties of existing compartments and adding new compartments d...

متن کامل

Positron emission tomography compartmental models.

The current article presents theory for compartmental models used in positron emission tomography (PET). Both plasma input models and reference tissue input models are considered. General theory is derived and the systems are characterized in terms of their impulse response functions. The theory shows that the macro parameters of the system may be determined simply from the coefficients of the ...

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: Mathematical Biosciences and Engineering

سال: 2021

ISSN: ['1547-1063', '1551-0018']

DOI: https://doi.org/10.3934/mbe.2021163