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We study a resource allocation problem for containing an infectious disease in a metapopulation subject to resource uncertainty. We propose a two-stage model where the policy maker seeks to allocate resources in both stages where the second…

Optimization and Control · Mathematics 2020-06-03 Ceyda Yaba Best , Amin Khademi , Burak Eksioglu

We analyse the global dynamics of a Susceptible--Vaccinated--Exposed--Infected--Recovered (SVEIR) epidemic model with demographic turnover, imperfect vaccination, and two transmission routes: direct host-to-host contagion and indirect…

Dynamical Systems · Mathematics 2026-03-31 Emanuela Penitente , Urszula Foryś , Burcu Gürbüz

We study three different strategies of vaccination in a SEIRS (Susceptible--Exposed--Infected--Recovered--Susceptible) seasonal forced model, which are: ($i$) continuous vaccination; ($ii$) periodic short time localized vaccination and…

The overuse of antibiotics has become a major global concern due to its role in diminishing treatment effectiveness and positively selecting antibiotic-resistant bacterial strains. This issue is particularly important in the beef cattle…

Populations and Evolution · Quantitative Biology 2025-09-09 Baptiste Sorin-Dupont , Antoine Poyard , Sebastien Assie , Sebastien Picault , Pauline Ezanno

In this study, we present an epidemic-controlled SIRD model with two types of control strategies: mask wear and screening. The aim of this study is to minimize the number of deceased keeping a minimal cost of mask advertising and screening.…

Populations and Evolution · Quantitative Biology 2021-09-06 Amira Bouhali , Walid Ben Aribi , Slimane Ben Miled , Amira Kebir

Tuberculosis (TB) is among the main public health challenges in Burundi. The literature lacks mathematical models for key parameter estimates of TB transmission dynamics in Burundi. In this paper, the supectible-exposed-infected-recovered…

Populations and Evolution · Quantitative Biology 2023-04-05 Steve Sibomanaa , Kelly Joelle Gatore Sinigirira , Paterne Gahungu , David Niyukuri

We propose a model describing the synergetic feedback between word-of-mouth (WoM) and epidemic dynamics controlled by voluntary vaccination. We combine a game-theoretic model for the spread of WoM and a compartmental model describing $SIR$…

Populations and Evolution · Quantitative Biology 2015-03-03 Samit Bhattacharyya , Chris Bauch , Romulus Breban

We investigate stochastic extinction in an epidemic model and the impact of random vaccinations in large populations formulated in terms of an optimal escape path. We find that different random vaccination strategies can have widely…

Biological Physics · Physics 2007-11-12 Alexandra S. Landsman , Ira B. Schwartz

This study explores the link between dietary behavior and the risk of nutritional deficiency dermatoses (NDD) in the Bicol region, where malnutrition remains a concern. Using regression analysis on FNRI data, it examines food purchase…

Quantitative Methods · Quantitative Biology 2026-04-23 John Ben S Temones

The Ebola epidemic in West Africa is the largest ever recorded, with over 27,000 cases and 11,000 deaths as of June 2015. The public health response was challenged by difficulties with disease surveillance, which impacted subsequent…

Populations and Evolution · Quantitative Biology 2015-08-07 Marisa C. Eisenberg , Joseph N. S. Eisenberg , Jeremy P. D'Silva , Eden V. Wells , Sarah Cherng , Yu-Han Kao , Rafael Meza

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

\textbf{Background} Measles has resurged globally in the post-pandemic period as routine immunisation recovery remains below the two-dose threshold required to interrupt transmission. Bangladesh, previously nearing measles--rubella…

General Mathematics · Mathematics 2026-04-30 Md. Kamrujjaman , Faizunnesa Khondaker , Alvi Ahmed Sarker , Nuzhat Nuari Khan Rivu

We consider optimal vaccination protocol where the vaccine is in short supply. In this case, disease extinction results from a large and rare fluctuation. We show that the probability of such fluctuation can be exponentially increased by…

Populations and Evolution · Quantitative Biology 2013-05-29 M. Khasin , M. I. Dykman , B. Meerson

Given limited supply of approved vaccines and constrained medical resources, design of a vaccination strategy to control a pandemic is an economic problem. We use time-series and panel methods with real-world country-level data to estimate…

General Economics · Economics 2022-01-19 Dongwoo Kim , Young Jun Lee

We present a stochastic epidemic model to study the effect of various preventive measures, such as uniform reduction of contacts and transmission, vaccination, isolation, screening and contact tracing, on a disease outbreak in a…

Populations and Evolution · Quantitative Biology 2022-07-08 Martina Favero , Gianpaolo Scalia Tomba , Tom Britton

The current manuscript introduce a single-strain dengue model developed from stochastic processes incorporating fractional order transmission and recovery. The fractional derivative has been introduced within the context of transmission and…

Dynamical Systems · Mathematics 2024-10-28 Tahajuddin Sk , Kaushik Bal , Santosh Biswas , Tridip Sardar

Containing an epidemic at its origin is the most desirable mitigation. Epidemics have often originated in rural areas, with rural communities among the first affected. Disease dynamics in rural regions have received limited attention, and…

The COVID-19 pandemic has impacted the national systems of population movement around the world. Existing work has focused on countries of the Global North and restricted to the immediate effects of COVID-19 data during 2020. Data have…

Physics and Society · Physics 2023-11-06 Francisco Rowe , Carmen Cabrera-Arnau , Miguel González-Leonardo , Andrea Nasuto , Ruth Neville

Vaccination campaigns have saved thousands of lives, reaching the farthest places in the world. These campaigns have required substantial investments and accurate coordination between several actors within the vaccine supply chain. Despite…

Disease control is of paramount importance in public health with infectious disease extinction as the ultimate goal. Although diseases may go extinct due to random loss of effective contacts where the infection is transmitted to new…

Adaptation and Self-Organizing Systems · Physics 2015-06-15 Lora Billings , Luis Mier-y-Teran-Romero , Brandon Lindley , Ira B. Schwartz
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