Backward bifurcation and stability analysis of a network-based SIS epidemic model with saturated treatment function

DOI10.1016/j.physa.2019.121407OpenAlexW2944782936WikidataQ127887457 ScholiaQ127887457MaRDI QIDQ2161795

Chun-Hsien Li, Yi-Jie Huang

Publication date: 5 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2019.121407

zbMATH Keywords

stabilityepidemic modelcomplex networkbackward bifurcationsaturated treatment function

Mathematics Subject Classification ID

Epidemiology (92D30) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Stability of topological dynamical systems (37B25) Global stability of solutions to ordinary differential equations (34D23) Statistical mechanics, structure of matter (82-XX)

Related Items (12)

Bifurcation analysis and optimal control of a network-based SIR model with the impact of medical resources ⋮ Global stability of a network-based SIS epidemic model with a saturated treatment function ⋮ The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks ⋮ Modeling the dynamics of rumor diffusion over complex networks ⋮ Stability analysis and optimal control of epidemic-like transmission model with nonlinear inhibition mechanism and time delay in both homogeneous and heterogeneous networks ⋮ Dynamical behaviors and optimal control of delayed S2IS rumor propagation model with saturated conversion function over complex networks ⋮ Existence of the backward bifurcation of a non-Markovian SIS-network model with saturation treatment function ⋮ Backward bifurcation, basic reinfection number and robustness of an SEIRE epidemic model with reinfection ⋮ Complex patterns of an SIR model with a saturation treatment on complex networks: an edge-compartmental approach ⋮ Bifurcation and stability of a delayed SIS epidemic model with saturated incidence and treatment rates in heterogeneous networks ⋮ Joint impacts of media, vaccination and treatment on an epidemic Filippov model with application to COVID-19 ⋮ Complex dynamics and control strategies of SEIR heterogeneous network model with saturated treatment

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