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Containment of epidemic outbreaks entails great societal and economic costs. Cost-effective containment strategies rely on efficiently identifying infected individuals, making the best possible use of the available testing resources.…

Populations and Evolution · Quantitative Biology 2020-12-01 Laura Natali , Saga Helgadottir , Onofrio M. Marago , Giovanni Volpe

Epidemic outbreaks in human populations are facilitated by the underlying transportation network. We consider strategies for containing a viral spreading process by optimally allocating a limited budget to three types of protection…

Systems and Control · Computer Science 2013-10-21 Victor M. Preciado , Michael Zargham , David Sun

In this paper, we study a novel control method for a generalized SIS epidemic process. In particular, we use predictive control to design optimal protective resource distribution strategies which balance the need to eliminate the epidemic…

Optimization and Control · Mathematics 2018-08-17 Nicholas J. Watkins , George J. Pappas

Since the recent introduction of several viable vaccines for SARS-CoV-2, vaccination uptake has become the key factor that will determine our success in containing the COVID-19 pandemic. We argue that game theory and social network models…

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

In this paper, we introduce an algorithm designed to solve a Multilevel MOnoObjective Linear Programming Problem (ML(MO)OLPP). Our approach is a refined adaptation of Sinha and Sinha's linear programming method, incorporating the…

Optimization and Control · Mathematics 2025-03-17 Mustapha Kaci

We study the minimum eradication time problem for controlled Susceptible-Infected-Recovered (SIR) epidemic models that incorporate vaccination control and time-varying infected and recovery rates. Unlike the SIR model with constant rates,…

Analysis of PDEs · Mathematics 2023-11-27 Jiwoong Jang , Yeoneung Kim

A persistent public health challenge is finding immunization schemes that are effective in combating highly mutable pathogens such as HIV and influenza viruses. To address this, we analyze a simplified model of affinity maturation, the…

Populations and Evolution · Quantitative Biology 2024-04-25 Saeed Mahdisoltani , Pranav Murugan , Arup K Chakraborty , Mehran Kardar

In Influence Maximization (IM), the objective is to -- given a budget -- select the optimal set of entities in a network to target with a treatment so as to maximize the total effect. For instance, in marketing, the objective is to target…

Social and Information Networks · Computer Science 2025-06-05 Daan Caljon , Jente Van Belle , Jeroen Berrevoets , Wouter Verbeke

We study dynamics of spread of epidemics of SIR type in a realistic spatially-explicit geographical region, Southern and Central Ontario, using census data obtained from Statistics Canada, and examine the role of population mixing in…

Cellular Automata and Lattice Gases · Physics 2009-11-11 Henryk Fuks' , Anna T. Lawniczak , Ryan Duchesne

This article considers the optimal control of the SIR model with both transmission and treatment uncertainty. It follows the model presented in Gatto and Schellhorn (2021). We make four significant improvements on the latter paper. First,…

Optimization and Control · Mathematics 2021-05-20 Yujia Ding , Henry Schellhorn

Clinical trials of a vaccine during an epidemic face particular challenges, such as the pressure to identify an effective vaccine quickly to control the epidemic, and the effect that time-space-varying infection incidence has on the power…

Populations and Evolution · Quantitative Biology 2021-05-21 Rob Johnson , Chris Jackson , Anne Presanis , Sofia S. Villar , Daniela De Angelis

The mitigation of an infectious disease spreading has recently gained considerable attention from the research community. It may be obtained by adopting sanitary measurements social rules, together with an extensive vaccination campaign.…

Social and Information Networks · Computer Science 2022-02-17 Francesco Petrizzelli , Pietro Hiram Guzzi , Tommaso Mazza

We develop a general framework for reserve systems that allocate scarce resources such as vaccines to unit-demand agents under prioritization and eligibility constraints, along with a computationally efficient mechanism. Reserve systems…

Theoretical Economics · Economics 2025-11-25 Suat Evren

We consider the optimization problem of seeding a spreading process on a temporal network so that the expected size of the resulting outbreak is maximized. We frame the problem for a spreading process following the rules of the…

Physics and Society · Physics 2020-10-20 Sirag Erkol , Dario Mazzilli , Filippo Radicchi

This paper studies the SI1SI2S spreading model of two competing behaviors over a bilayer network. We address the problem of determining resource allocation strategies which design a spreading network so as to ensure the extinction of a…

Optimization and Control · Mathematics 2015-12-17 Nicholas J. Watkins , Cameron Nowzari , Victor M. Preciado , George J. Pappas

The effective use of limited resources for controlling spreading processes on networks is of prime significance in diverse contexts, ranging from the identification of "influential spreaders" for maximizing information dissemination and…

Social and Information Networks · Computer Science 2022-06-01 Andrey Y. Lokhov , David Saad

The goal of immunotherapy is to enhance the ability of the immune system to kill cancer cells. Immunotherapy is more effective and, in general, the prognosis is better, when more immune cells infiltrate the tumor. We explore the question of…

Due to its high lethality amongst the elderly, the safety of nursing homes has been of central importance during the COVID-19 pandemic. With test procedures becoming available at scale, such as antigen or RT-LAMP tests, and increasing…

When facing many options, we narrow down our focus to very few of them. Although behaviors like this can be a sign of heuristics, they can actually be optimal under limited cognitive resources. Here we study the problem of how to optimally…

Neurons and Cognition · Quantitative Biology 2021-02-03 Jorge Ramírez-Ruiz , Rubén Moreno-Bote
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