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Differential Equations

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Modeling Complex Systems

Part of the book series: Graduate Texts in Physics ((GTP))

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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

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Correspondence to Nino Boccara .

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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

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