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Since December 2020, variants of COVID-19 (especially Delta and Omicron) appeared with different characteristics that influenced death and transmissibility emerged around the world. To address the novel dynamics of the disease, we propose a…

Populations and Evolution · Quantitative Biology 2022-01-19 Sarita Bugalia , Jai Prakash Tripathi , Hao Wang

Massive vaccination against pandemics such as Coronavirus SARS-CoV-2 presents several complexities. The criteria to assess public health policies are fundamental to distribute vaccines in an effective way in order to avoid as many…

Optimization and Control · Mathematics 2023-12-01 José Luis Sainz-Pardo , José Valero

Transmission rates in epidemic outbreaks may vary over time depending on the societal response. Non-pharmacological mitigation strategies such as social distancing and the adoption of protective equipment aim precisely at reducing…

Populations and Evolution · Quantitative Biology 2020-12-24 Elisa Franco

Modeling human behavior is essential to accurately predict epidemic spread, with behaviors like vaccine hesitancy complicating control efforts. While epidemic spread is often treated as a simple contagion, vaccine uptake may follow complex…

Physics and Society · Physics 2024-12-17 Alfonso de Miguel-Arribas , Alberto Aleta , Yamir Moreno

In this study, we explore the dynamic interplay between the timing of vaccination campaigns and the trajectory of disease spread in a population. Through comprehensive data analysis and modeling, we have uncovered a counter-intuitive…

Physics and Society · Physics 2024-12-06 Piergiorgio Castioni , Sergio Gòmez , Clara Granell , Alex Arenas

We consider the SEIRS epidemiology model with such features of the COVID-19 outbreak as: abundance of unidentified infected individuals, limited time of immunity and a possibility of vaccination. The control of the pandemic dynamics is…

Populations and Evolution · Quantitative Biology 2026-03-31 J. Ilnytskyi , T. Patsahan

Vaccination campaigns have both direct and indirect effects that act to control an infectious disease as it spreads through a population. Indirect effects arise when vaccinated individuals block disease transmission in any infection chains…

Populations and Evolution · Quantitative Biology 2024-05-08 Lixin Lin , Homayoun Hamedmoghadam , Robert Shorten , Lewi Stone

In the absence of any available vaccines or drugs, prevention of the spread of Coronavirus Disease 2019 (COVID-19) pandemic is being achieved by putting many mitigation measures in place. It is indispensable to have robust and reliable ways…

Populations and Evolution · Quantitative Biology 2020-04-17 Gaurav Goswami , Jayanti Prasad , Mansi Dhuria

The study of epidemiological systems has generated deep interest in exploring the dynamical complexity of common infectious diseases driven by seasonally varying contact rates. Mathematical modeling and field observations have shown that,…

Dynamical Systems · Mathematics 2021-12-22 Jorge Duarte , Cristina Januário , Nuno Martins , Jesús Seoane , Miguel AF Sanjuán

This study assesses the impact of COVID-19 vaccines through an epidemiological model that quantifies their role in pandemic control. We analyze an SIR-based model incorporating vaccination effects and calculate the basic reproduction…

Dynamical Systems · Mathematics 2025-07-29 Tesfalem Abate Tegegn , Yibeltal Adane Terefe

We study the interaction between epidemic spreading and a vaccination process. We assume that, similar to the disease spreading, also the vaccination process occurs through direct contact, i.e., it follows the standard…

Physics and Society · Physics 2020-06-22 Mozhgan Khanjanianpak , Nahid Azimi-Tafreshi , Claudio Castellano

In this paper we investigate the asymptotic behavior of some SIR models incorporating demography, bounded random transmission coefficient and a time-dependent vaccination strategy targeting the susceptible population. In this setting, we…

Populations and Evolution · Quantitative Biology 2025-10-27 Javier López-de-la-Cruz , Susana Merchán , Felipe Rivero , Javier Rodrigo

SIRS epidemic models assume that individual immunity (from infection and vaccination) wanes in one big leap, from complete immunity to complete susceptibility. For many diseases immunity on the contrary wanes gradually, something that's…

Populations and Evolution · Quantitative Biology 2022-11-17 Mohamed El Khalifi , Tom Britton

Network scientists have proposed that infectious diseases involving person-to-person transmission may be effectively halted by targeting interventions at a minority of highly connected individuals. Can this strategy be effective in…

Social and Information Networks · Computer Science 2020-11-16 Gianluca Manzo , Arnout van de Rijt

Besides maintaining health precautions, vaccination has been the only prevention from SARS-CoV-2, though no clinically proved 100% effective vaccine has been developed till date. At this stage, to withhold the debris of this pandemic,…

A linearization-based feedback-control strategy for a SEIR epidemic model is discussed. The vaccination objective is the asymptotically tracking of the removed-by-immunity population to the total population while achieving simultaneously…

Dynamical Systems · Mathematics 2011-03-24 M. De la Sen , A. Ibeas , S. Alonso-Quesada

The outbreak of mutant strains and vaccination behaviors have been the focus of recent epidemiological research, but most existing epidemic models failed to simultaneously capture viral mutation and consider the complexity and behavioral…

Populations and Evolution · Quantitative Biology 2026-01-16 Wenjie Zhang , Yusheng Li , Qin Li , Guojun Huang , Minyu Feng

The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical interventions. In particular, the most effective measures in this direction have been the stay-at-home and closure strategies of businesses and schools.…

Physics and Society · Physics 2022-05-04 G. Dimarco , G. Toscani , M. Zanella

Until a vaccine or therapy is found against the SARS-CoV-2 coronavirus, reaching herd immunity appears to be the only mid-term option. However, if the number of infected individuals decreases and eventually fades only beyond this threshold,…

Optimization and Control · Mathematics 2020-06-11 Pierre-Alexandre Bliman , Michel Duprez , Yannick Privat , Nicolas Vauchelet

We develop an agent-based model to assess the cumulative number of deaths during hypothetical Covid-19-like epidemics for various non-pharmaceutical intervention strategies. We consider local and non-local modes of disease transmission. The…

Physics and Society · Physics 2020-11-16 Zdzislaw Burda
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