Stability of stochastic SIS model with disease deaths and variable diffusion rates

DOI10.14232/EJQTDE.2019.1.14zbMath1424.92047OpenAlexW2918635768WikidataQ128310125 ScholiaQ128310125MaRDI QIDQ5379558

Henri Schurz, Kursad Tosun

Publication date: 12 June 2019

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2019.1.14

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zbMATH Keywords

stochastic differential equationsLyapunov functionsmathematical epidemiologystochastic asymptotic stabilitystochastic SIS modelpositivity and boundednessbalanced implicit methodsvariable diffusion rates

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Asymptotic stability in control theory (93D20) Applications of stochastic analysis (to PDEs, etc.) (60H30) Stochastic stability in control theory (93E15)

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Lyapunov stability analysis for nonlinear delay systems under random effects and stochastic perturbations with applications in finance and ecology

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