2026-09-15T22:27:04Zhttps://gredos.usal.es/oai/requestoai:gredos.usal.es:10366/1553482026-01-13T15:55:05Zcom_10366_4137com_10366_4055com_10366_3946com_10366_3823col_10366_4138
Local stochastic stability of SIRS models without Lyapunov functions
Tocino García, Ángel Andrés
Martín del Rey, Ángel María
Stochastic differential systems
Linear test system
Mean square stability
Stochastic stability
Mathematical epidemiology
SIRS Model
Basic reproductive number
[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.
2024-02-05
2024-02-05
2021
info:eu-repo/semantics/article
A. Tocino, A. Martín del Rey,
Local stochastic stability of SIRS models without Lyapunov functions,
Communications in Nonlinear Science and Numerical Simulation,
Volume 103,
2021,
105956,
ISSN 1007-5704,
https://doi.org/10.1016/j.cnsns.2021.105956.
(https://www.sciencedirect.com/science/article/pii/S1007570421002689)
1007-5704
http://hdl.handle.net/10366/155348
10.1016/j.cnsns.2021.105956
eng
https://doi.org/10.1016/j.cnsns.2021.105956
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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