A Filippov system describing media effects on the spread of infectious diseases
A Wang, Y Xiao - Nonlinear Analysis: Hybrid Systems, 2014 - Elsevier
A Filippov epidemic model with media coverage is proposed to describe the real
characteristics of media/psychological impact in the spread of an infectious disease. We …
characteristics of media/psychological impact in the spread of an infectious disease. We …
Consequences of delays and imperfect implementation of isolation in epidemic control
For centuries isolation has been the main control strategy of unforeseen epidemic
outbreaks. When implemented in full and without delay, isolation is very effective. However …
outbreaks. When implemented in full and without delay, isolation is very effective. However …
Bifurcation analysis of an agent-based model for predator–prey interactions
Abstract The Rosenzweig–MacArthur model is a set of ordinary differential equations
(ODEs) that provides an aggregate description of the dynamics of a predator–prey system …
(ODEs) that provides an aggregate description of the dynamics of a predator–prey system …
Implicit methods for equation-free analysis: Convergence results and analysis of emergent waves in microscopic traffic models
We introduce a general formulation for an implicit equation-free method in the setting of slow-
fast systems. First, we give a rigorous convergence result for equation-free analysis showing …
fast systems. First, we give a rigorous convergence result for equation-free analysis showing …
Equation-Free multiscale computational analysis of individual-based epidemic dynamics on networks
CI Siettos - Applied Mathematics and Computation, 2011 - Elsevier
The surveillance, analysis and ultimately the efficient long-term prediction and control of
epidemic dynamics appear to be some of the major challenges nowadays. Detailed …
epidemic dynamics appear to be some of the major challenges nowadays. Detailed …
Three pre-vaccine responses to Covid-like epidemics
LS Young, Z Danial - Plos one, 2021 - journals.plos.org
This paper contains a theoretical study of epidemic control. It is inspired by current events
but not intended to be an accurate depiction of the SARS-CoV-2 pandemic. We consider the …
but not intended to be an accurate depiction of the SARS-CoV-2 pandemic. We consider the …
A timestepper-based approach for the coarse-grained analysis of microscopic neuronal simulators on networks: Bifurcation and rare-events micro-to macro …
KG Spiliotis, CI Siettos - Neurocomputing, 2011 - Elsevier
We show how the Equation Free approach for multi-scale computations can be exploited to
extract, in a computational rigorous and systematic way the emergent dynamical attributes …
extract, in a computational rigorous and systematic way the emergent dynamical attributes …
On the effect of the path length of small-world networks on epidemic dynamics
We show how one can trace in a systematic way the coarse-grained solutions of individual-
based stochastic epidemic models evolving on heterogeneous complex networks with …
based stochastic epidemic models evolving on heterogeneous complex networks with …
Bifurcation analysis of dynamic process models using Aspen Dynamics® and Aspen Custom Modeler®
Dynamic simulation and modeling has become a necessity to process and control
engineers, therefore dynamic simulation software is being used constantly for the …
engineers, therefore dynamic simulation software is being used constantly for the …
The effects of community interactions and quarantine on a complex network
B Chimmalee, W Sawangtong… - Cogent …, 2016 - Taylor & Francis
An adaptive complex network based on a susceptible–exposed–infectious–quarantine–
recovered (SEIQR) framework is implemented to investigate the transmission dynamics of …
recovered (SEIQR) framework is implemented to investigate the transmission dynamics of …