Applications of the Poincare-Hopf Theorem: Epidemic Models and Lotka-Volterra Systems

This paper focuses on properties of equilibria and their associated regions of attraction for continuous-time nonlinear dynamical systems. The classical Poincar\'e--Hopf Theorem is used to derive a general result providing a sufficient condition for the system to have a unique equilibrium. The...

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Bibliographic Details
Main Authors: Ye, Mengbin, Liu, J., Anderson, B.D.O., Cao, M.
Format: Journal Article
Published: 2021
Online Access:http://purl.org/au-research/grants/arc/DP160104500
http://hdl.handle.net/20.500.11937/83245