Qualitative study of a quarantine/isolation model with multiple disease stages
From MaRDI portal
Publication:654666
DOI10.1016/j.amc.2011.07.007zbMath1228.92068OpenAlexW1987862430WikidataQ91900941 ScholiaQ91900941MaRDI QIDQ654666
Mohammad A. Safi, Abba B. Gumel
Publication date: 29 December 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: http://europepmc.org/articles/pmc7112307
Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)
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Cites Work
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- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Global asymptotic dynamics of a model for quarantine and isolation
- Critical role of nosocomial transmission in the Toronto SARS outbreak
- Quarantine-based disease control in domesticated animal herds
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Effects of quarantine in six endemic models for infectious diseases
- Simulating the SARS outbreak in Beijing with limited data
- The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda
- Epidemiological models with non-exponentially distributed disease stages and applications to disease control
- Optimal and sub-optimal quarantine and isolation control in SARS epidemics
- Role of incidence function in vaccine-induced backward bifurcation in some HIV models
- Sensitivity and uncertainty analyses for an SARS model with time-varying inputs and outputs
- The Mathematics of Infectious Diseases
- Analysis of a Model with Multiple Infectious Stages and Arbitrarily Distributed Stage Durations
- Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
- The Theory of the Chemostat
