Stability Switches Induced by Immune System Boosting in an SIRS Model with Discrete and Distributed Delays

DOI10.1137/16M1077234zbMath1367.34097arXiv1606.03962OpenAlexW2964046850WikidataQ64023114 ScholiaQ64023114MaRDI QIDQ5268004

Gergely Röst, Mónika Polner, Maria Vittoria Barbarossa

Publication date: 14 June 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03962

zbMATH Keywords

stabilitybifurcationpersistencedelay equationsdistributed delaybasic reproduction numberendemic equilibrium

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (9)

Periodic solutions in an SIRWS model with immune boosting and cross-immunity ⋮ Bifurcation Analysis of a Fractional-Order Simplicial SIRS System Induced by Double Delays ⋮ A perturbative approach to the analysis of many-compartment models characterized by the presence of waning immunity ⋮ When Ideas Go Viral—Complex Bifurcations in a Two-Stage Transmission Model ⋮ One dimensional reduction of a renewal equation for a measure-valued function of time describing population dynamics ⋮ Asymptotic Convergence in Delay Differential Equations Arising in Epidemiology and Physiology ⋮ Long-Term Analysis of a Stochastic SIRS Model with General Incidence Rates ⋮ NOTE ON THE UNIQUENESS OF AN ENDEMIC EQUILIBRIUM OF AN EPIDEMIC MODEL WITH BOOSTING OF IMMUNITY ⋮ Dynamics of an SIRWS model with waning of immunity and varying immune boosting period

Uses Software

• TRACE-DDE

Cites Work

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