An evaluation of prospective COVID-19 modelling studies in the USA: from data to science translation

K Nixon, S Jindal, F Parker, NG Reich… - The Lancet Digital …, 2022 - thelancet.com
Infectious disease modelling can serve as a powerful tool for situational awareness and
decision support for policy makers. However, COVID-19 modelling efforts faced many …

[HTML][HTML] The use of networks in spatial and temporal computational models for outbreak spread in epidemiology: A systematic review

L Pujante-Otalora, B Canovas-Segura… - Journal of Biomedical …, 2023 - Elsevier
Objectives To examine recent literature in order to present a comprehensive overview of the
current trends as regards the computational models used to represent the propagation of an …

Fractional dynamic analysis and optimal control problem for an SEIQR model on complex networks

X Fu, JR Wang - Chaos: An Interdisciplinary Journal of Nonlinear …, 2022 - pubs.aip.org
A fractional order susceptible–exposed–infected–quarantined–recovered model is
established on the complex networks. We calculate a specific expression for the basic …

[HTML][HTML] Novel class of susceptible–infectious–recovered models involving power-law interactions

G Kaniadakis - Physica A: Statistical Mechanics and its Applications, 2024 - Elsevier
It is shown that the ordinary SIR (Susceptible–Infectious–Recovered) epidemic model
exhibits features that are common to a class of compartmental models with power-law …

Analysis of epidemic spread dynamics using a PDE model and COVID-19 data from Hamilton County OH USA

F Majid, AM Deshpande, S Ramakrishnan, S Ehrlich… - Ifac-papersonline, 2021 - Elsevier
We study the spatiotemporal dynamics of an epidemic spread using a compartmentalized
PDE model. The model is validated using COVID-19 data from Hamilton County, Ohio, USA …

Model‐based reinforcement learning control of reaction‐diffusion problems

C Schenk, A Vasudevan, M Haranczyk… - Optimal Control …, 2024 - Wiley Online Library
Mathematical and computational tools have proven to be reliable in decision‐making
processes. In recent times, in particular, machine learning‐based methods are becoming …

Individual Variation Affects Outbreak Magnitude and Predictability in an Extended Multi-Pathogen SIR Model of Pigeons Vising Dairy Farms

T Lazebnik, O Spiegel - arXiv preprint arXiv:2310.08613, 2023 - arxiv.org
Zoonotic disease transmission between animals and humans is a growing risk and the
agricultural context acts as a likely point of transition, with individual heterogeneity acting as …

Linear-quadratic optimal control of second-order parabolic systems

X Xue, J Xu, H Zhang - Journal of Control and Decision, 2023 - Taylor & Francis
This paper considers the linear-quadratic (LQ) optimal control problem for systems governed
by a class of second-order parabolic partial differential equations (PDEs). This problem is …

Instabilities and self–organization in spatiotemporal epidemic dynamics driven by nonlinearity and noise

AK Singh, S Ramakrishnan, M Kumar - Physical Biology, 2024 - iopscience.iop.org
Theoretical analysis of epidemic dynamics has attracted significant attention in the aftermath
of the COVID–19 pandemic. In this article, we study dynamic instabilities in a spatiotemporal …

Dynamic Instabilities and Pattern Formation in Diffusive Epidemic Spread

AK Singh, G Miller, M Kumar, S Ramakrishnan - IFAC-PapersOnLine, 2023 - Elsevier
The COVID-19 pandemic has refocused research on mathematical modeling and analysis of
epidemic dynamics. We analytically investigate a partial differential equation (PDE) based …