Mathematical modeling of the COVID-19 epidemic with fear impact

Article Multidisciplinary Sciences

Media attention and Vaccine Hesitancy: Examining the mediating effects of Fear of COVID-19 and the moderating role of Trust in leadership

Lulin Zhou et al.

Summary: Media attention significantly influences COVID-19 vaccine hesitancy, with fear acting as a significant mediator in this relationship, while trust in leadership has no significant moderating effect.

PLOS ONE (2022)

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Article Mathematics, Applied

A ratio-dependent impulsive control of an SIQS epidemic model with non-linear incidence *

Yingkang Xie et al.

Summary: This paper utilizes ratio-dependent impulsive control in an SIQS epidemic model with nonlinear incidence, showing stability of disease-free equilibrium and absence of order-k periodic solutions. The advantages of this control strategy lie in its economic efficiency and ability to handle changing population dynamics.

APPLIED MATHEMATICS AND COMPUTATION (2022)

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Article Engineering, Multidisciplinary

Numerical analysis of Atangana-Baleanu fractional model to understand the propagation of a novel corona virus pandemic

A. I. K. Butt et al.

Summary: A new nonlinear SEIQR fractional order pandemic model for COVID-19 with Atangana-Baleanu derivative is formulated in this manuscript. Two main equilibrium points of the model are stated. The future dynamics of the disease are investigated by computing the threshold parameter using next generation technique. The importance of the arbitrary order derivative and the obtained theoretical results are validated through numerical simulations.

ALEXANDRIA ENGINEERING JOURNAL (2022)

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Article Mathematics, Interdisciplinary Applications

A theoretical study of the Caputo-Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control

Hakimeh Mohammadi et al.

Summary: This study focuses on children's hearing loss caused by mumps virus, utilizing fractional-order derivatives and control theory for modeling and numerical simulation. It discusses the system's stability, the existence and uniqueness of solutions, effects of fractional-order derivatives on variables' behavior, and the impact of reproduction number on disease transmission continuation.

CHAOS SOLITONS & FRACTALS (2021)

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Article Mathematical & Computational Biology

Modeling the Dynamics of Coronavirus Disease Pandemic Coupled with Fear Epidemics

Saul C. Mpeshe et al.

Summary: This study presents a modeling approach to investigate the dynamics of COVID-19 epidemics coupled with fear, finding that the disease is likely to persist in the first two months when coupled with fear, and then slow down as the recovery rate from fear increases. An increase in the number of recovered individuals may lead to a rise in the number of susceptibles and trigger a second wave of infection in the third month of the epidemic.

COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE (2021)

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Article Mathematics

An SVEIRE Model of Tuberculosis to Assess the Effect of an Imperfect Vaccine and Other Exogenous Factors

Fatima Sulayman et al.

Summary: The study found that a backward bifurcation makes reducing the basic reproduction number (Rv) of tuberculosis to less than 1 ineffective for its elimination. However, an imperfect tuberculosis vaccine is always effective at reducing disease spread, with its effectiveness increasing with higher efficacy and coverage.

MATHEMATICS (2021)

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Article Mathematics, Applied

Impact of Media-Induced Fear on the Control of COVID-19 Outbreak: A Mathematical Study

Chandan Maji

Summary: The COVID-19 pandemic, originating from Wuhan, China, has caused global economic emergencies. Mathematical modeling is an essential tool for researching disease dynamics and predicting trends of spread. The introduction of a quarantine class with media-induced fear in the disease transmission rate in a mathematical model can help analyze the epidemic dynamics.

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS (2021)

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Article Medicine, General & Internal