Spatial heterogeneity in epidemic models

AL Lloyd, RM May - Journal of theoretical biology, 1996 - Elsevier
Spatial heterogeneity is believed to play an important role in the persistence and dynamics
of epidemics … (metapopulation) model for spatial heterogeneity in epidemics is analysed and …

The impact of population, contact, and spatial heterogeneity on epidemic model predictions

FJ Zagmutt, MA Schoenbaum, AE Hill - Risk Analysis, 2016 - Wiley Online Library
… generalizable to all types of epidemic models. In conclusion, in models used to inform health
… contact structure when modeling fast-spreading epidemics. In contrast, both population and …

Spatial heterogeneity and the persistence of infectious diseases

TJ Hagenaars, CA Donnelly, NM Ferguson - Journal of theoretical biology, 2004 - Elsevier
… Here, we consider spatial heterogeneity, defined as ‘patchiness’ of the … on the level of
spatial heterogeneity. Analysis and simulation of … Spatial heterogeneity in epidemic models

Influence of spatial heterogeneity on an emerging infectious disease: the case of dengue epidemics

C Favier, D Schmit… - … of the Royal …, 2005 - royalsocietypublishing.org
… The importance of spatial heterogeneity and spatial scales (at a … epidemiological models
of certain diseases include the role of spatial and social networks for the spread of epidemics, …

A spatial epidemic model for disease spread over a heterogeneous spatial support

AT Porter, JJ Oleson - Statistics in medicine, 2016 - Wiley Online Library
… a spatial compartmental epidemic model with general latent time distributions (spatial PS …
accounting for spatial heterogeneity in the mixing process between locations. Because the …

Spatial heterogeneity, nonlinear dynamics and chaos in infectious diseases

BT Grenfell, A Kleczkowski… - Statistical Methods in …, 1995 - journals.sagepub.com
… A probabilistic-automata network epidemic model with births and deaths exhibiting cyclic
behavior. Journal of Physics a-Mathematical and General 1994; 27: 1585-97. …

Models of infectious diseases in spatially heterogeneous environments

DJ Rodríguez, L Torres-Sorando - Bulletin of Mathematical Biology, 2001 - Elsevier
Spatially heterogeneous environments. Before analysing the invasibility conditions of the
models with spatial heterogeneity … Stability of the endemic equilibrium in epidemic models with …

Spatial heterogeneity can lead to substantial local variations in COVID-19 timing and severity

LJ Thomas, P Huang, F Yin, XI Luo… - Proceedings of the …, 2020 - National Acad Sciences
epidemiological models, with substantial local disparities in timing and severity and long lags
between local outbreaks. We show that spatial heterogeneity … by standard SIR-like models. …

Spatial heterogeneity in epidemiological models

M Martcheva, M Martcheva - An Introduction to Mathematical Epidemiology, 2015 - Springer
… This chapter focuses on spatial heterogeneity of epidemic models. In the first part of this
chapter, metapopulation epidemic modeling is discussed. Models with Lagrangian and Eulerian …

Analysis of a reaction-diffusion cholera epidemic model in a spatially heterogeneous environment

J Wang, F Xie, T Kuniya - … in Nonlinear Science and Numerical Simulation, 2020 - Elsevier
… The above two important factors related to PDE cholera model seem to … of spatial heterogeneity
and general nonlinear incidence functions on the dynamics of diffusive cholera models. …