Global analysis of SIS epidemic models with variable total population size
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Publication:1765046
DOI10.1016/j.mcm.2004.06.004zbMath1065.92047OpenAlexW2081355318MaRDI QIDQ1765046
Publication date: 22 February 2005
Published in: Mathematical and Computer Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mcm.2004.06.004
Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)
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Cites Work
- Population models for diseases with no recovery
- Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs
- Optimal ages of vaccination for measles
- Population size dependent incidence in models for diseases without immunity
- Optimal vaccination strategies for a community of households
- Optimal vaccination strategies -- for whom?
- Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
- A simple vaccination model with multiple endemic states
- Qualitative analyses of SIS epidemic model with vaccination and varying total population size
- Modelling epidemics with variable contact rates
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