356 citations · 1.7k across the 67 of their papers we have counts for
3 papers · 2 filters
Geometric analysis of Oscillations in the Frzilator model
Hadi Taghvafard, Hildeberto Jardon-Kojakhmetov, Peter Szmolyan +1
A biochemical oscillator model, describing developmental stage of myxobacteria, is analyzed mathematically. Observations from numerical simulations show that in a certain range of…
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…
Global Convergence for Replicator Dynamics of Repeated Snowdrift Games
Pouria Ramazi, Ming Cao
To understand the emergence and sustainment of cooperative behavior in interacting collectives, we perform global convergence analysis for replicator dynamics of a large, well-mixe…