scholarly journals Threshold and Stability Results of a New Mathematical Model for Infectious Diseases Having Effective Preventive Vaccine

2021 ◽  
pp. 56-64
Author(s):  
Sümeyye ÇAKAN
Keyword(s):  
Mathematical Model ◽  
Infectious Diseases ◽  
Preventive Vaccine ◽  
Stability Results

scholarly journals Stability Analysis and Existence of Solutions for a Modified SIRD Model of COVID-19 with Fractional Derivatives

Symmetry ◽  
2021 ◽  
Vol 13 (8) ◽  
pp. 1431
Author(s):  
Bilal Basti ◽  
Nacereddine Hammami ◽  
Imadeddine Berrabah ◽  
Farid Nouioua ◽  
Rabah Djemiat ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Existence And Uniqueness ◽  
Fractional Derivatives ◽  
Fixed Point Theorems ◽  
Existence Of Solutions ◽  
Biological Models ◽  
Uniqueness Of Solutions ◽  
Caputo Fractional Derivatives ◽  
Single Form ◽  
Stability Results

This paper discusses and provides some analytical studies for a modified fractional-order SIRD mathematical model of the COVID-19 epidemic in the sense of the Caputo–Katugampola fractional derivative that allows treating of the biological models of infectious diseases and unifies the Hadamard and Caputo fractional derivatives into a single form. By considering the vaccine parameter of the suspected population, we compute and derive several stability results based on some symmetrical parameters that satisfy some conditions that prevent the pandemic. The paper also investigates the problem of the existence and uniqueness of solutions for the modified SIRD model. It does so by applying the properties of Schauder’s and Banach’s fixed point theorems.

scholarly journals Quantifying the impact of social groups and vaccination on inequalities in infectious diseases using a mathematical model

BMC Medicine ◽  
2018 ◽  
Vol 16 (1) ◽  
Author(s):  
James D. Munday ◽  
Albert Jan van Hoek ◽  
W. John Edmunds ◽  
Katherine E. Atkins
Keyword(s):  
Mathematical Model ◽  
Infectious Diseases ◽  
Social Groups ◽  
The Impact

Dynamics between infectious diseases with two susceptibility conditions: A mathematical model.

2019 ◽  
Vol 309 ◽  
pp. 66-77 ◽  
Author(s):  
J.P. Gutiérrez-Jara ◽  
F.D. Córdova-Lepe ◽  
M.T. Muñoz-Quezada
Keyword(s):  
Mathematical Model ◽  
Infectious Diseases

scholarly journals Disease Detectives: Using Mathematics to Forecast the Spread of Infectious Diseases

2021 ◽  
Vol 8 ◽  
Author(s):  
Heather Z. Brooks ◽  
Unchitta Kanjanasaratool ◽  
Yacoub H. Kureh ◽  
Mason A. Porter
Keyword(s):  
Mathematical Model ◽  
Infectious Diseases ◽  
Mathematical Models ◽  
Human Behavior ◽  
Government Policies ◽  
Disease Spread

The COVID-19 pandemic has led to significant changes in how people are currently living their lives. To determine how to best reduce the effects of the pandemic and start reopening communities, governments have used mathematical models of the spread of infectious diseases. In this article, we introduce a popular type of mathematical model of disease spread. We discuss how the results of analyzing mathematical models can influence government policies and human behavior, such as encouraging mask wearing and physical distancing to help slow the spread of a disease.

scholarly journals SIR Mathematical Model of Convalescent Plasma Transfusion Applied to the COVID-19 Pandemic Data in Indonesia to Control the Spread of the Disease

2021 ◽  
Vol 2084 (1) ◽  
pp. 012022
Author(s):  
Hennie Husniah ◽  
Ruhanda ◽  
Asep Kuswandi Supriatna
Keyword(s):  
Mathematical Model ◽  
Infectious Diseases ◽  
Disease Transmission ◽  
Emerging Infectious Diseases ◽  
Mortality Rates ◽  
Sir Model ◽  
Difficult Problem ◽  
Plasma Transfusion ◽  
Preventive Actions ◽  
Discrete Mathematical Model

Abstract In this paper we develop a mathematical model of disease transmission dynamics. Although some vaccines for some infectious diseases are available, there are some cases where handling new emerging infectious diseases, such as COVID-19 pandemic, is still a difficult problem to handle. Preventive actions, such as wearing masks, distance guarding, frequent hand washing, and others are still the most important interventions in handling the transmission of this disease. Recently, several countries have allowed the use of convalescent plasma transfusion (CPT) in the management of moderate and severe COVID-19 patients. Several early studies of this use have yielded prospective results with reduced mortality rates. A recent work also shows that using a simple discrete mathematical model of CPT could reduce the outbreak of disease transmission, in the sense of reducing the peak number of active cases and the length of the outbreak itself. In this paper, we use a continuous SIR model applied to COVID-19 pandemic data in Indonesia to address an important question whether convalescent plasma transfusion may reduce the transmission of the disease.

Experimental Bifurcation Diagram of Furuta Pendulum

2018 ◽  
Author(s):  
Mate B. Vizi ◽  
Gabor Stepan
Keyword(s):  
Mathematical Model ◽  
Mechanical System ◽  
Coulomb Friction ◽  
Control Strategies ◽  
Strongly Nonlinear ◽  
Nonlinear Mechanical ◽  
Two Degree Of Freedom ◽  
Experimental Rig ◽  
Stability Results ◽  
Mechanical Phenomena

The Furuta pendulum is a two degree of freedom mechanical system that serves as an excellent and simple device to check control strategies applied for strongly nonlinear mechanical structures. Stability results related to certain stationary motions of the Furuta pendulum are compared to experimental observations, and conclusions are obtained regarding some essential mechanical phenomena that are present in the experimental rig, but still not properly described in the standard mathematical model of the pendulum. The results call the attention for the importance of the identification of the Coulomb friction in the structure, which effect the control strategies to be implemented.

scholarly journals Quantifying the contribution of asymptomatic infection to the cumulative incidence

2017 ◽  
Vol 145 (6) ◽  
pp. 1256-1258 ◽  
Author(s):  
D. CHAMPREDON ◽  
S. M. MOGHADAS
Keyword(s):  
Mathematical Model ◽  
Infectious Diseases ◽  
Cumulative Incidence ◽  
Analytical Formula ◽  
Asymptomatic Infection ◽  
Simple Analytical Formula

SUMMARYMany infectious diseases in humans may manifest with no or mild symptoms. While numerous studies have estimated the proportion of infectious individuals in whom symptoms are absent during the entire course of infection, the contribution of asymptomatic cases to the overall cumulative incidence is difficult to untangle. Here, with a mathematical model, we provide a simple analytical formula to quantify this contribution and highlight the potential for large errors that can arise when naively estimating it.

VIBRATION AND STABILITY OF GEOMETRICALLY NONLINEAR COLUMN SUBJECTED TO GENERALIZED LOAD WITH A FORCE DIRECTED TOWARD THE POSITIVE POLE

2008 ◽  
Vol 08 (01) ◽  
pp. 1-24 ◽  
Author(s):  
L. TOMSKI ◽  
S. UZNY
Keyword(s):  
Mathematical Model ◽  
Small Parameter ◽  
Nonlinear Problem ◽  
Free Vibrations ◽  
Parameter Method ◽  
Geometrically Nonlinear ◽  
Small Parameter Method ◽  
Circular Profile ◽  
Slender Column ◽  
Stability Results

Considered herein is the vibration and stability problems of a slender column subjected to generalized load with a force directed toward the positive pole. The load is developed by heads composed of circular profile elements. The geometrically nonlinear problem of stability and free vibrations is formulated on the basis of Hamilton's principle, and due to nonlinearity, the problem is solved by applying the small parameter method. Vibration and stability results show the influence of chosen parameters that characterize the considered column (including initial prestressing). The assumed mathematical model is validated by experimental results.

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