Global behaviour of an SIR epidemic model with time delay
From MaRDI portal
Publication:5293190
DOI10.1002/mma.810zbMath1112.92055OpenAlexW2013053972MaRDI QIDQ5293190
Alexander Nwagwo, Richard Levins, J. Michel Tchuenche
Publication date: 26 June 2007
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.810
Epidemiology (92D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20)
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Cites Work
- Unnamed Item
- Group theoretical nature of Bäcklund transformations
- Global asymptotic stability of a periodic solution to an epidemic model
- Some simple epidemic models
- Differential susceptibility and infectivity epidemic models
- Epidemic threshold conditions for seasonally forced SEIR models
- Global existence and asymptotic behaviour for a degenerate diffusive SEIR model
- Mathematical Structures of Epidemic Systems