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The abrupt outbreak and transmission of biological diseases has always been a long-time concern of humankind. For long, mathematical modeling has served as a simple and yet efficient tool to investigate, predict, and control spread of…

Populations and Evolution · Quantitative Biology 2020-04-10 Aresh Dadlani , Richard O. Afolabi , Hyoyoung Jung , Khosrow Sohraby , Kiseon Kim

COVID-19 pandemic represents an unprecedented global health crisis in the last 100 years. Its economic, social and health impact continues to grow and is likely to end up as one of the worst global disasters since the 1918 pandemic and the…

Populations and Evolution · Quantitative Biology 2020-09-22 Aniruddha Adiga , Devdatt Dubhashi , Bryan Lewis , Madhav Marathe , Srinivasan Venkatramanan , Anil Vullikanti

Historically, infectious diseases caused considerable damage to human societies, and they continue to do so today. To help reduce their impact, mathematical models of disease transmission have been studied to help understand disease…

Understanding the timing of the peak of a disease outbreak forms an important part of epidemic forecasting. In many cases, such information is essential for planning increased hospital bed demand and for designing of public health…

Populations and Evolution · Quantitative Biology 2023-11-27 Jacob Curran-Sebastian , Lorenzo Pellis , Ian Hall , Thomas House

Current methods to optimize vaccine dose are purely empirically based, whereas in the drug development field, dosing determinations use far more advanced quantitative methodology to accelerate decision-making. Applying these established…

Quantitative Methods · Quantitative Biology 2018-11-12 Sophie J. Rhodes , Gwenan M. Knight , Denise E. Kirschner , Richard G. White , Thomas G. Evans

Multi-model prediction efforts in infectious disease modeling and climate modeling involve multiple teams independently producing projections under various scenarios. Often these scenarios are produced by the presence and absence of a…

Methodology · Statistics 2022-08-11 Yuanhao Lu , Ajitesh Srivastava

[Spreadsheet] Models are invaluable tools for strategic planning. Models help key decision makers develop a shared conceptual understanding of complex decisions, identify sensitivity factors and test management scenarios. Different…

Human-Computer Interaction · Computer Science 2024-12-31 Paula Jennings

Epidemiologists aiming to model the dynamics of global events face a significant challenge in identifying the factors linked with anomalies such as disease outbreaks. In this paper, we present a novel method for identifying the most…

Machine Learning · Computer Science 2021-09-20 Aboli Marathe , Saloni Parekh , Harsh Sakhrani

During outbreaks of serious infectious diseases many individuals closely follow media reports of the outbreak and take steps, including self-isolation, to protect themselves from infection and possibly death. Self-isolation can take many…

Populations and Evolution · Quantitative Biology 2011-03-22 Anna Mummert , Howard Weiss

Infectious disease outbreaks recapitulate biology: they emerge from the multi-level interaction of hosts, pathogens, and their shared environment. As a result, predicting when, where, and how far diseases will spread requires a complex…

Physics and Society · Physics 2018-10-11 Samuel V. Scarpino , Giovanni Petri

This paper gives an introduction to rule-based modelling applied to topics in infectious diseases. Rule-based models generalise reaction-based models with reagents that have internal state and may be bound together to form complexes, as in…

Populations and Evolution · Quantitative Biology 2021-08-10 William Waites , Matteo Cavaliere , David Manheim , Jasmina Panovska-Griffiths , Vincent Danos

There has been much recent interest in modelling epidemics on networks, particularly in the presence of substantial clustering. Here, we develop pairwise methods to answer questions that are often addressed using epidemic models, in…

Populations and Evolution · Quantitative Biology 2010-12-10 Thomas House , Matt J Keeling

We propose a mathematical framework, based on conic geometric programming, to control a susceptible-infected-susceptible viral spreading process taking place in a directed contact network with unknown contact rates. We assume that we have…

Optimization and Control · Mathematics 2014-12-09 Shuo Han , Victor M. Preciado , Cameron Nowzari , George J. Pappas

Understanding dynamics of an infectious disease helps in designing appropriate strategies for containing its spread in a population. Recent mathematical models are aimed at studying dynamics of some specific types of infectious diseases. In…

Dynamical Systems · Mathematics 2015-02-05 P. Raja Sekhara Rao , M. Naresh Kumar

Insect outbreaks are biotic disturbances in forests and agroecosystems that cause economic and ecological damage. This phenomenon depends on a variety of biological and physical factors. The complexity and practical importance of the issue…

Quantitative Methods · Quantitative Biology 2022-09-07 Gabriel R. Palma , Wesley A. C. Godoy , Eduardo Engel , Douglas Lau , Edgar Galvan , Oliver Mason , Charles Markham , Rafael A. Moral

Dengue is one of the most important infectious diseases in the world, in terms of death and economic cost. Hence, the modeling of dengue is of great importance to help us understand the dynamics disease, and interfering with its spreading…

Populations and Evolution · Quantitative Biology 2019-08-28 Sylvestre Aureliano Carvalho , Stella Olívia da Silva , Iraziet da Cunha Charret

In this paper, we propose a model predictive control (MPC) method for real-time intervention of spreading processes, such as epidemics and wildfire, over large-scale networks. The goal is to allocate budgeted resources each time step to…

Optimization and Control · Mathematics 2022-10-31 Ruigang Wang , Armaghan Zafar , Ian R. Manchester

Infectious disease modeling is used to forecast epidemics and assess the effectiveness of intervention strategies. Although the core assumption of mass-action models of homogeneously mixed population is often implausible, they are…

Physics and Society · Physics 2024-08-29 Thien-Minh Le , Jukka-Pekka Onnela

In this paper we first introduce the general stochastic epidemic model for the spread of infectious diseases. Then we give methods for inferring model parameters such as the basic reproduction number $R_0$ and vaccination coverage $v_c$…

Methodology · Statistics 2014-11-14 Tom Britton , Federica Giardina

The review is devoted to analysis of mathematical models used for describing epidemic processes. A main focus is done on the models that are based on partial differential equations (PDEs), especially those that were developed and used for…

Populations and Evolution · Quantitative Biology 2024-03-01 Vasyl' Davydovych , Vasyl' Dutka , Roman Cherniha