143 citations · 880 across the 32 of their papers we have counts for
5 papers · 1 filter
Equilibria analysis of a networked bivirus epidemic model using Poincaré--Hopf and Manifold Theory
Brian D. O. Anderson, Mengbin Ye
This paper considers a deterministic Susceptible-Infected-Susceptible (SIS) networked bivirus epidemic model (termed the bivirus model for short), in which two competing viruses sp…
A mean-field analysis of a network behavioural-epidemic model
Kathinka Frieswijk, Lorenzo Zino, Mengbin Ye +2
The spread of an epidemic disease and the population's collective behavioural response are deeply intertwined, influencing each other's evolution. Such a co-evolution typically has…
Convergence and Equilibria Analysis of a Networked Bivirus Epidemic Model
Mengbin Ye, Brian D. O. Anderson, Ji Liu
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 large n…
Competitive epidemic networks with multiple survival-of-the-fittest outcomes
Mengbin Ye, Brian D. O. Anderson, Axel Janson +2
We use a deterministic model to study two competing viruses spreading over a two-layer network in the Susceptible--Infected--Susceptible (SIS) framework, and address a central prob…
Applications of the Poincaré--Hopf Theorem: Epidemic Models and Lotka--Volterra Systems
Mengbin Ye, Ji Liu, Brian D. O. Anderson +1
This paper focuses on the equilibria and their regions of attraction for continuous-time nonlinear dynamical systems. The classical Poincaré--Hopf Theorem from differential topolog…