منابع مشابه
Global analysis on delay epidemiological dynamic models with nonlinear incidence.
In this paper, we derive and study the classical SIR, SIS, SEIR and SEI models of epidemiological dynamics with time delays and a general incidence rate. By constructing Lyapunov functionals, the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium is shown. This analysis extends and develops further our previous results and can be applied to the other biologi...
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چکیده ندارد.
15 صفحه اولA lyapunov function and global properties for sir and seir epidemiological models with nonlinear incidence.
Explicit Lyapunov functions for SIR and SEIR compartmental epidemic models with nonlinear incidence of the form betaI(p)S(q) for the case p </= 1 are constructed. Global stability of the models is thereby established.
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 1991
ISSN: 0303-6812,1432-1416
DOI: 10.1007/bf00160539