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• W1531422289 abstract "Mathematical models for Tuberculosis with linear and logistic growth rates are considered. The global dynamic structure for the logistic recruitment model is analyzed with the help of a strong version of the Poincare-Bendixson Theorem. The nature of the global dynamics of the same model with a linear recruitment rate is established with the use of explicit threshold quantities controlling the absolute and relative spread of the disease and the likelihood of extinction or persistence of the total population. The classification of planar quadratic systems helps rule out the existence of closed orbits (limit cycles)." @default.
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• W1531422289 date "2002-01-01" @default.
• W1531422289 modified "2023-10-15" @default.
• W1531422289 title "Global Dynamics of Tuberculosis Models with Density Dependent Demography" @default.
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• W1531422289 doi "https://doi.org/10.1007/978-1-4613-0065-6_16" @default.
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