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Titre
Local stochastic stability of SIRS models without Lyapunov functions
Autor(es)
Sujet
Stochastic differential systems
Linear test system
Mean square stability
Stochastic stability
Mathematical epidemiology
SIRS Model
Basic reproductive number
Clasificación UNESCO
12 Matemáticas
Fecha de publicación
2021
Éditeur
ELSEVIER
Resumen
[EN]Most of stability analysis for stochastic epidemiological models involve Lyapunov functions. This work shows how sufficient conditions for the local stochastic asymptotic stability of a nonlinear system can be derived from the stability analysis of an ordinary linear system. In the particular stochastic SIR/SIRS models proposed here to illustrate the technique, the stability study of the obtained ordinary systems reduces to calculate the spectrum of the governing matrix.
URI
ISSN
1007-5704
Versión del editor
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