Qualitative analyses of communicable disease models
Mathematical BiosciencesPublished 1 January 1976
Herbert W. Hethcote
Citations742
SJR quartileQ2
SJR score0.56
SNIP0.82
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TL;DR
Deterministic communicable disease models which are initial value problems for a system of ordinary differential equations are considered, where births and deaths occur at equal rates with all newborns being susceptible.
Abstract
Deterministic communicable disease models which are initial value problems for a system of ordinary differential equations are considered, where births and deaths occur at equal rates with all newborns being susceptible. Asymptotic stability regions are determined for the equilibrium points for models involving temporary immunity, disease-related fatalities, carriers, migration, dissimilar interacting groups, and transmission by vectors. Epidemiological interpretations of all results are given.
Keywords
MathematicsMedicinePhysics and Astronomy
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