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A fixed point theorem for a general epidemic model

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Publication:488717
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DOI10.1016/j.jmaa.2013.03.013zbMath1304.92123OpenAlexW2079820373MaRDI QIDQ488717

Adam R. Lucas

Publication date: 26 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.03.013

zbMATH Keywords

fixed point theorempercolation modelepidemic thresholdsusceptible-infected-susceptible epidemic model


Mathematics Subject Classification ID

Epidemiology (92D30) Fixed-point theorems (47H10)


Related Items

Unnamed Item, Fixed point of generalized weak contraction in \(b\)-metric spaces



Cites Work

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  • A nonlinear Krein Rutman theorem
  • A one-parameter family of stationary solutions in the susceptible-infected-susceptible epidemic model
  • Fixed points of generalized e-concave (generalized e-convex) operators and their applications
  • A fixed point theorem with application to an infectious disease model
  • Fixed point theorems for a class of mixed monotone operators
  • Dynamical patterns of epidemic outbreaks in complex heterogeneous networks
  • Complex networks: structure and dynamics
  • The Structure and Function of Complex Networks
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