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Analysis, prediction, and control of epidemics: A survey from scalar to dynamic network models
During the ongoing COVID-19 pandemic, mathematical models of epidemic spreading have
emerged as powerful tools to produce valuable predictions of the evolution of the pandemic …
emerged as powerful tools to produce valuable predictions of the evolution of the pandemic …
Convergence and equilibria analysis of a networked bivirus epidemic model
This paper studies a networked bivirus model, in which two competing viruses spread
across a network of interconnected populations; each node represents a population with a …
across a network of interconnected populations; each node represents a population with a …
[KNIHA][B] Topological Obstructions to Stability and Stabilization: History, Recent Advances and Open Problems
W Jongeneel, E Moulay - 2023 - library.oapen.org
This open access book provides a unified overview of topological obstructions to the stability
and stabilization of dynamical systems defined on manifolds and an overview that is self …
and stabilization of dynamical systems defined on manifolds and an overview that is self …
Convergence of bi-virus epidemic models with non-linear rates on networks—a monotone dynamical systems approach
We study convergence properties of competing epidemic models of the Susceptible-Infected-
Susceptible () type. The SIS epidemic model has seen widespread popularity in modelling …
Susceptible () type. The SIS epidemic model has seen widespread popularity in modelling …
Competitive epidemic spreading over networks
In this letter, we consider an epidemic model for two competitive viruses spreading over a
metapopulation network, termed the 'bivirus model'for convenience. The dynamics are …
metapopulation network, termed the 'bivirus model'for convenience. The dynamics are …
Equilibria analysis of a networked bivirus epidemic model using Poincaré–Hopf and manifold theory
This paper considers a deterministic susceptible-infected-susceptible (SIS) networked
bivirus epidemic model (termed the bivirus model for short), in which two competing viruses …
bivirus epidemic model (termed the bivirus model for short), in which two competing viruses …
A new perspective on cooperative control of multi-agent systems through different types of graph Laplacians
K Cai, M Nagahara - Advanced Robotics, 2023 - Taylor & Francis
In the field of systems and control, many cooperative control problems of multi-agent
systems have been actively studied in the past two decades. This article aims to organize …
systems have been actively studied in the past two decades. This article aims to organize …
Analysis, control, and state estimation for the networked competitive multi-virus SIR model
This paper proposes a novel discrete-time multi-virus susceptible-infected-recovered (SIR)
model that captures the spread of competing epidemics over a population network. First, we …
model that captures the spread of competing epidemics over a population network. First, we …
Towards understanding the endemic behavior of a competitive tri-virus SIS networked model
This paper studies the endemic behavior of a multi-competitive networked susceptible-
infected-susceptible (SIS) model. Specifically, the paper deals with three competing virus …
infected-susceptible (SIS) model. Specifically, the paper deals with three competing virus …
On the analysis of a higher-order Lotka-Volterra model: An application of S-tensors and the polynomial complementarity problem
It is known that the effect of species' density on species' growth is non-additive in real
ecological systems. This challenges the conventional Lotka-Volterra model, where the …
ecological systems. This challenges the conventional Lotka-Volterra model, where the …