Stability Analysis of a SIS Epidemic Model with Standard Incidence
- Autores: Cruz Vargas de León
- Localización: Foro-Red-Mat: Revista electrónica de contenido matemático, ISSN 1405-1745, Vol. 28, Nº. 4, 2011
- Idioma: inglés
- Enlaces
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Resumen
In this paper, we study the global properties of classic SIS epidemic model with constant recruitment, disease-induced death and standard incidence term. We apply the Poincaré-Bendixson theorem, Dulac.s criterion, and the method of Lyapunov function to establish conditions for global stability. For this system, three Dulac functions and two Lyapunov functions are constructed for the endemic steady state.
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