Pattern transitions in spatial epidemics: Mechanisms and emergent properties
Infectious diseases are a threat to human health and a hindrance to societal development.
Consequently, the spread of diseases in both time and space has been widely studied …
Consequently, the spread of diseases in both time and space has been widely studied …
Effects of social distancing and isolation on epidemic spreading modeled via dynamical density functional theory
M Te Vrugt, J Bickmann, R Wittkowski - Nature communications, 2020 - nature.com
For preventing the spread of epidemics such as the coronavirus disease COVID-19, social
distancing and the isolation of infected persons are crucial. However, existing reaction …
distancing and the isolation of infected persons are crucial. However, existing reaction …
Pattern formation of an epidemic model with diffusion
GQ Sun - Nonlinear Dynamics, 2012 - Springer
One subject of spatial epidemiology is spatial variation in disease risk or incidence. The
spread of epidemics can result in strong spatial patterns of such risk or incidence: for …
spread of epidemics can result in strong spatial patterns of such risk or incidence: for …
Turing–Hopf bifurcation analysis of a predator–prey model with herd behavior and cross-diffusion
X Tang, Y Song, T Zhang - Nonlinear dynamics, 2016 - Springer
In this paper, we consider a predator–prey model with herd behavior and cross-diffusion
subject to homogeneous Neumann boundary condition. Firstly, the existence and priori …
subject to homogeneous Neumann boundary condition. Firstly, the existence and priori …
Turing patterns induced by cross-diffusion in a predator-prey system in presence of habitat complexity
In this paper, we have investigated the phenomena of Turing pattern formation in a predator-
prey model with habitat complexity in presence of cross diffusion. Using the linear stability …
prey model with habitat complexity in presence of cross diffusion. Using the linear stability …
Complex dynamics of a reaction–diffusion epidemic model
W Wang, Y Cai, M Wu, K Wang, Z Li - Nonlinear Analysis: Real World …, 2012 - Elsevier
In this paper, we investigate the complex dynamics of a reaction–diffusion S− I model
incorporating demographic and epidemiological processes with zero-flux boundary …
incorporating demographic and epidemiological processes with zero-flux boundary …
Patch invasion in a spatial epidemic model
L Li - Applied Mathematics and Computation, 2015 - Elsevier
Understanding of patterns in disease spreading is an issue of significant current interest in
epidemiology. In this paper, an epidemic model with spatial diffusion is considered. It was …
epidemiology. In this paper, an epidemic model with spatial diffusion is considered. It was …
Global stability for a sheep brucellosis model with immigration
Sheep brucellosis is one of the major infectious and contagious bacterial diseases in the
sheep farms of China. In this paper, we present a sheep brucellosis model with immigration …
sheep farms of China. In this paper, we present a sheep brucellosis model with immigration …
On the stability of an SEIR epidemic model with distributed time-delay and a general class of feedback vaccination rules
This paper discusses and formulates a continuous-time SEIR-type epidemic model of
pseudo-mass action type with finitely distributed delays under a very general, potentially …
pseudo-mass action type with finitely distributed delays under a very general, potentially …
Turing pattern dynamics in an SI epidemic model with superdiffusion
In this article, we have applied the Weyl differential operator in an epidemic model with the
standard incidence rate to study pattern formation among species with superdiffusive …
standard incidence rate to study pattern formation among species with superdiffusive …