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We develop a stochastic two-patch epidemic model with nonlinear recidivism to investigate infectious disease dynamics in heterogeneous populations. Extending a deterministic framework, we introduce stochasticity to account for random…

Populations and Evolution · Quantitative Biology 2024-05-21 Juan G. Calvo , Mario I. Simoy , Juan P. Aparicio , José E. Chacón , Fabio Sanchez

Ebola virus disease is a lethal human and primate disease that currently requires a particular attention from the international health authorities due to important outbreaks in some Western African countries and isolated cases in the United…

Populations and Evolution · Quantitative Biology 2015-05-13 Benjamin Ivorra , Diène Ngom , Ángel Manuel Ramos

We aim to design a fairness-aware allocation approach to maximize the geographical diversity and avoid unfairness in the sense of demographic disparity. During the development of this work, the COVID-19 pandemic is still spreading in the…

Optimization and Control · Mathematics 2026-05-12 Hadis Anahideh , Lulu Kang , Nazanin Nezami

As cancer patient survival improves, late effects from treatment are becoming the next clinical challenge. Chemotherapy and radiotherapy, for example, potentially increase the risk of both morbidity and mortality from second malignancies…

Vaccination has been proven to be the most effective method to prevent infectious diseases. However, in many low and middle-income countries with geographically dispersed and nomadic populations, last-mile vaccine delivery can be extremely…

Applications · Statistics 2021-04-30 Yuwen Yang , Jayant Rajgopal

We consider the problem of controlling the propagation of an epidemic outbreak in an arbitrary contact network by distributing vaccination resources throughout the network. We analyze a networked version of the…

Social and Information Networks · Computer Science 2013-03-19 Victor M. Preciado , Michael Zargham , Chinwendu Enyioha , Ali Jadbabaie , George Pappas

Healthcare systems are facing serious challenges in balancing their human resources to cope with volatile service demand, while at the same time providing necessary job satisfaction to the healthcare workers. We propose in this paper a…

Optimization and Control · Mathematics 2021-03-09 Duy Anh Nguyen

Balancing common disease treatment and epidemic control is a key objective of medical supplies procurement in hospitals during a pandemic such as COVID-19. This problem can be formulated as a bi-objective optimization problem for…

Neural and Evolutionary Computing · Computer Science 2020-08-04 Yu-Jun Zheng , Xin Chen , Tie-Er Gan , Min-Xia Zhang , Wei-Guo Sheng , Ling Wang

We propose a coupled dynamical model of resource allocation and epidemic spread, inspired by the hierarchical structure of real-world therapeutic resource allocation. In this framework, network nodes are assigned distinct roles as either…

Physics and Society · Physics 2026-02-13 Hao-Xiang Jiang , Chao-Ran Cai , Ji-Qiang Zhang , Ming Tang

We present a stochastic programming model for informing the deployment of ad hoc flood mitigation measures to protect electrical substations prior to an imminent and uncertain hurricane. The first stage captures the deployment of a fixed…

Optimization and Control · Mathematics 2024-01-05 Brent Austgen , Erhan Kutanoglu , John J. Hasenbein

This paper deals with the problem of clearing sequential electricity markets under uncertainty. We consider the European approach, where reserves are traded separately from energy to meet exogenous reserve requirements. Recently pro- posed…

Optimization and Control · Mathematics 2018-10-31 Vladimir Dvorkin , Stefanos Delikaraoglou , Juan M. Morales

The purpose of this paper is to analyze the mechanism for the interplay of deterministic and stochastic models for contagious diseases. Deterministic models for contagious diseases are prone to predict global stability. Small natural birth…

Populations and Evolution · Quantitative Biology 2022-06-17 Torsten Lindström

Recent outbreaks of Ebola, H1N1 and other infectious diseases have shown that the assumptions underlying the established theory of epidemics management are too idealistic. For an improvement of procedures and organizations involved in…

Physics and Society · Physics 2017-06-20 Joachim Draeger

In this chapter, we focus on the problem of containing the spread of diseases taking place in both temporal and adaptive networks (i.e., networks whose structure `adapts' to the state of the disease). We specifically focus on the problem of…

Social and Information Networks · Computer Science 2019-03-19 Masaki Ogura , Victor M. Preciado

When developing policies for prevention of infectious diseases, policymakers often set specific, outcome-oriented targets to achieve. For example, when developing a vaccine allocation policy, policymakers may want to distribute them so that…

Applications · Statistics 2023-10-24 Chan Park , Guanhua Chen , Menggang Yu , Hyunseung Kang

Epidemic models are used to analyze the progression or outcome of an epidemic under different control policies like vaccinations, quarantines, lockdowns, use of face-masks, pharmaceutical interventions, etc. When these models accurately…

Quantitative Methods · Quantitative Biology 2022-04-19 Carlos Hernandez-Suarez , Osval Montsinos Lopez , Ramon Solano-Barajas

This paper introduces an Electric Vehicle Charging Station (EVCS) model that incorporates real-world constraints, such as slot power limitations, contract threshold overruns penalties, or early disconnections of electric vehicles (EVs). We…

Optimization and Control · Mathematics 2024-11-14 Alban Puech , Tristan Rigaut , William Templier , Maud Tournoud

We propose combined allocation, assignment, sequencing, and scheduling problems under uncertainty involving multiple operation rooms (ORs), anesthesiologists, and surgeries, as well as methodologies for solving such problems. Specifically,…

Optimization and Control · Mathematics 2024-01-15 Man Yiu Tsang , Karmel S. Shehadeh , Frank E. Curtis , Beth Hochman , Tricia E. Brentjens

We investigate a model for spatial epidemics explicitly taking into account bi-directional movements between base and destination locations on individual mobility networks. We provide a systematic analysis of generic dynamical features of…

Physics and Society · Physics 2012-03-07 Vitaly Belik , Theo Geisel , Dirk Brockmann

In this article, we construct a numerical method for a stochastic version of the Susceptible Infected Susceptible (SIS) epidemic model, expressed by a suitable stochastic differential equation (SDE), by using the semi-discrete method to a…

Numerical Analysis · Mathematics 2023-07-28 Yiannis Kiouvrekis , Ioannis S. Stamatiou