Global stability of a SIR epidemic model with nonlinear incidence rate and time delay
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Publication:1021974
DOI10.1016/j.nonrwa.2008.10.013zbMath1183.34131OpenAlexW2042391826MaRDI QIDQ1021974
Publication date: 9 June 2009
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.10.013
Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)
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Cites Work
- Unnamed Item
- Unnamed Item
- Delay differential equations: with applications in population dynamics
- Global stability results for a generalized Lotka-Volterra system with distributed delays. Applications to predator-prey and epidemic systems
- Stability analysis for a vector disease model
- Qualitative analyses of communicable disease models
- Theory of functional differential equations. 2nd ed
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Global stability of an SIR epidemic model with time delays
- Global asymptotic properties of a delay SIR epidemic model with finite incubation times
- Global stability of an SIR epidemic model with time delay.
- Permanence of an SIR epidemic model with distributed time delays
- Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay.
- Convergence results in SIR epidemic models with varying population sizes
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