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COVID-19 pandemic is one of the major disasters that humanity has ever faced. In this paper, we try to model the effect of vaccination in controlling the pandemic, particularly in context to the third wave which is predicted to hit…

Populations and Evolution · Quantitative Biology 2022-07-27 Sourav Chowdhury , Suparna Roychowdhury , Indranath Chaudhuri

Understanding how misinformation affects the spread of disease is crucial for public health, especially given recent research indicating that misinformation can increase vaccine hesitancy and discourage vaccine uptake. However, it is…

Social and Information Networks · Computer Science 2026-02-09 Matthew R. DeVerna , Francesco Pierri , Yong-Yeol Ahn , Santo Fortunato , Alessandro Flammini , Filippo Menczer

In this paper we introduce an approach to the management of infectious disease diffusion through the formulation of a controlled compartmental SVIR (Susceptible-Vaccinated-Infected-Recovered) model. We consider a cost functional…

Optimization and Control · Mathematics 2023-11-28 Alessandro Ramponiand M. Elisabetta Tessitore

This paper introduces a spatiotemporal SEIQR epidemic model governed by a system of reaction-diffusion partial differential equations that incorporates optimal control strategies. The model captures the transmission dynamics of an…

Dynamical Systems · Mathematics 2025-07-29 Achraf Zinihi , Matthias Ehrhardt , Moulay Rchid Sidi Ammi

We propose a simple model for understanding the kinetics of corona virus transmission. Our model assume spreading of corona virus can happen from one to another only, if someone without enough protection comes close contact to a person…

Populations and Evolution · Quantitative Biology 2020-03-25 Proma Mondal , Timothy A. Gonsalves , Aniruddha Chakraborty

This paper studies an optimal control problem for a class of SIR epidemic models, in scenarios in which the infected population is constrained to be lower than a critical threshold imposed by the ICU (intensive care unit) capacity. The…

Optimization and Control · Mathematics 2024-12-31 Matteo Della Rossa , Lorenzo Freddi , Dan Goreac

In this paper, we consider an optimal distributed control problem for a reaction-diffusion-based SIR epidemic model with human behavioral effects. We develop a model wherein non-pharmaceutical intervention methods are implemented, but a…

Analysis of PDEs · Mathematics 2025-02-11 Marcelo Bongarti , Christian Parkinson , Weinan Wang

Epidemic risk assessment poses inherent challenges, with traditional approaches often failing to balance health outcomes and economic constraints. This paper presents a data-driven decision support tool that models epidemiological dynamics…

Applications · Statistics 2025-11-24 Chang Zhai , Ping Chen , Zhuo Jin , David Pitt

The rubeola virus, commonly known as measles, is one of the major causes of vaccine-preventable deaths among children worldwide. This is the case despite the fact that an effective vaccine is widely available. Even in developed countries…

Populations and Evolution · Quantitative Biology 2014-08-05 Elaine T. Alexander , Savanah D. McMahon , Nicholas Roberts , Emilio Sutti , Daniel Burkow , Miles Manning , Kamuela E. Yong , Sergei Suslov

Optimizing the impact on the economy of control strategies aiming at containing the spread of COVID-19 is a critical challenge. We use daily new case counts of COVID-19 patients reported by local health administrations from different…

Populations and Evolution · Quantitative Biology 2021-03-12 Afroza Shirin , Yen Ting Lin , Francesco Sorrentino

We propose and analyse a mathematical model for cholera considering vaccination. We show that the model is epidemiologically and mathematically well posed and prove the existence and uniqueness of disease-free and endemic equilibrium…

Populations and Evolution · Quantitative Biology 2018-10-22 Ana P. Lemos-Paiao , Cristiana J. Silva , Delfim F. M. Torres

Simulations of infectious disease spread have long been used to understand how epidemics evolve and how to effectively treat them. However, comparatively little attention has been paid to understanding the fairness implications of different…

Social and Information Networks · Computer Science 2019-11-14 James Atwood , Hansa Srinivasan , Yoni Halpern , D Sculley

It is well established that people with diabetes are more likely to have serious complications from COVID-19. Nearly 1 in 5 COVID-19 deaths in the African region are linked to diabetes. World Health Organization (WHO) finds that 18.3% of…

Populations and Evolution · Quantitative Biology 2022-04-21 Samuel Okyere , Joseph Ackora-Prah , Ebenezer Bonyah

Infectious diseases are still a major global burden for modern society causing 13 million deaths annually. One way to reduce the morbidity and mortality rates from infectious diseases is through preventative or targeted vaccinations.…

Social and Information Networks · Computer Science 2021-01-27 Md Shahzamal , Raja Jurdak , Bernard Mans , Frank de Hoog , Dean Paini

Monkeypox is a viral disease belonging to the smallpox family. Although it has milder symptoms than smallpox in humans, it has become a global threat in recent years, especially in African countries. Initially, incidental immunity against…

Pre-exposure prophylaxis (PrEP) consists in the use of an antiretroviral medication to prevent the acquisition of HIV infection by uninfected individuals and has recently demonstrated to be highly efficacious for HIV prevention. We propose…

Optimization and Control · Mathematics 2017-10-12 Cristiana J. Silva , Delfim F. M. Torres

Motivated by massive outbreaks of COVID-19 that occurred even in populations with high vaccine uptake, we propose a novel multi-population temporal network model for the spread of recurrent epidemic diseases. We study the effect of human…

Dynamical Systems · Mathematics 2022-09-19 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

The World Health Organization (WHO) made the assessment that COVID-19 can be characterized as a pandemic on March 11, 2020. To the COVID-19 outbreak, there is no vaccination and no treatment. The only way to control the COVID-19 outbreak is…

Populations and Evolution · Quantitative Biology 2021-10-22 Samaherni M. Dias , Kurios I. P. de M. Queiroz , Allan de M. Martins

Measles is an infectious disease caused by the Morbilivirus Measles Virus which has accompanied the human race since the 4th millennium BC, it is a disease usually concerning the paediatric population and in the past, before the advent of…

Populations and Evolution · Quantitative Biology 2020-04-07 A. Vivanco-Lira , R. Luna-Banenelli

The recent increase in Bordetella pertussis incidence (whooping cough) presents a challenge to global health. Recent studies have called into question the effectiveness of acellular B. pertussis vaccination in reducing transmission. Here we…

Populations and Evolution · Quantitative Biology 2014-03-03 Benjamin M. Althouse , Samuel V. Scarpino