Hamiltonian structure of compartmental epidemiological models
نویسندگان
چکیده
منابع مشابه
Hamiltonian Perspective on Compartmental Reaction-Diffusion Networks
Inspired by the recent developments in modeling and analysis of reaction networks, we provide a geometric formulation of the reversible reaction networks under the influence of diffusion. Using the graph knowledge of the underlying reaction network, the obtained reaction-diffusion system is a distributed-parameter port-Hamiltonian system on a compact spatial domain. Motivated by the need for co...
متن کاملepiModel: 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 کاملCompartmental 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 کاملAnalyzing 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 کاملCompartmental 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 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: Physica D: Nonlinear Phenomena
سال: 2020
ISSN: 0167-2789
DOI: 10.1016/j.physd.2020.132656