Abstract
The essential points of this chapter are The definitions of class of a function, diffeomorphism homeomorphism, orbit, period of an orbit, phase portrait Lyapunov stability, asymptotic stability, susceptible and infective, SIR and SIS epidemic models, hyperbolic equilibrium point, strong and weak Lyapunov function ω- and α--limit point, ω- and α-limit set, ω- and α-limit cycle bifurcation, catastrophe The Kermack–McKendrick epidemic model The Poincaré–Bendixon theorem
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Boccara, N. (2010). Differential Equations. In: Modeling Complex Systems. Graduate Texts in Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6562-2_3
Download citation
DOI: https://doi.org/10.1007/978-1-4419-6562-2_3
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-6561-5
Online ISBN: 978-1-4419-6562-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)