A note on the impact of a behavioral side-effect of vaccine failure on the spread of a contagious disease

Harari, G.S.; Monteiro, Luiz Henrique Alves

doi:10.1016/j.ecocom.2021.100929

Cited by 3 publications

(1 citation statement)

References 11 publications

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“…Presently, we opted to take a different bias, now in the populational domain, in order to show the broadness of the method analyzing vaccination effort as a control parameter of a contagious disease. The model we use is the common SIR (Susceptible, Infected, Recovered) model plus the vaccinated V state, or the SIRV model (e.g., [41,42]). The present analysis is not intended to bring changes in the current understanding of this model, but to show an alternative way of interpreting the results.…”

Section: A Working Examplementioning

confidence: 99%

Entropy Generation and Control: Criteria to Calculate Flow Optimization in Biological Systems

Bicudo,

Nogueira-de-Sá,

Chaui-Berlinck

2023

Foundations

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Living beings are composite thermodynamic systems in non-equilibrium conditions. Within this context, there are a number of thermodynamic potential differences (forces) between them and the surroundings, as well as internally. These forces lead to flows, which, ultimately, are essential to life itself, but, at the same time, are associated with entropy generation, i.e., a loss of useful work. The maintenance of homeostatic conditions, the tenet of physiology, demands the regulation of these flows by control of variables. However, due to the very nature of these systems, the regulation of flows and control of variables become entangled in closed loops. Here, we show how to combine entropy generation with respect to a process, and control of parameters (in such a process) in order to create a criterium of optimal ways to regulate changes in flows, the coefficient of flow-entropy (CJσ). We demonstrate the restricted possibility to obtain an increase in flow along with a decrease in entropy generation, and the more general situation of increases in flow along with increases in entropy generation of the process. In this scenario, the CJσ aims to identify the best way to combine the gain in flow and the associated loss of useful work. As an example, we analyze the impact of vaccination effort in the spreading of a contagious disease in a population, showing that the higher the vaccination effort the higher the control over the spreading and the lower the loss of useful work by the society.

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Section: A Working Examplementioning

confidence: 99%

Entropy Generation and Control: Criteria to Calculate Flow Optimization in Biological Systems

Bicudo,

Nogueira-de-Sá,

Chaui-Berlinck

2023

Foundations

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An Epidemic Model with Pro and Anti-vaccine Groups

Harari

Monteiro

2022

Acta Biotheor

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Here, an epidemiological model considering pro and anti-vaccination groups is proposed and analyzed. In this model, susceptible individuals can migrate between these two groups due to the influence of false and true news about safety and efficacy of vaccines. From this model, written as a set of three ordinary differential equations, analytical expressions for the disease-free steady state, the endemic steady state, and the basic reproduction number are derived. It is analytically shown that low vaccination rate and no influx to the pro-vaccination group have similar impacts on the long-term amount of infected individuals. Numerical simulations are performed with parameter values of the COVID-19 pandemic to illustrate the analytical results. The possible relevance of this work is discussed from a public health perspective.

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Entropy Generation and Control: Criteria to Calculate Flow Optimization in Biological Systems

Bicudo¹,

Nogueira-de-Sá²,

Chauí‐Berlinck³

2023

Preprint

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Living beings are composite thermodynamic systems in non-equilibrium conditions. Within this context, there are a number of thermodynamic potential differences (forces) between them and the surroundings, as well as internally. These forces lead to flows, which, ultimately, are essential to life itself. Living beings are under the pressures of natural selection, thus are biological flows as well. At the same time, the maintenance of homeostatic conditions, the tenet of physiology, demands regulation of these flows by control of variables. However, due to the very nature of these systems, regulation of flows and control of variables become entangled in closed loops. Therefore, the search for adaptation in flows takes a different path than the search for adaptation in morphological traits. Being at the roots of transfer processes, thermodynamic criteria turn out to be as natural physical candidates. Likewise, being at the roots of physiology, control turns out to be as a natural biological candidate in that path. Here we show how to combine entropy generation, with respect to a generalized process, and control of parameters (in such a generalized process) in order to create a criterium of optimal ways to regulate changes in generalized flows.

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A note on the impact of a behavioral side-effect of vaccine failure on the spread of a contagious disease

Cited by 3 publications

References 11 publications

Entropy Generation and Control: Criteria to Calculate Flow Optimization in Biological Systems

Entropy Generation and Control: Criteria to Calculate Flow Optimization in Biological Systems

An Epidemic Model with Pro and Anti-vaccine Groups

Entropy Generation and Control: Criteria to Calculate Flow Optimization in Biological Systems

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