Department of Information Technology
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Browsing Department of Information Technology by Author "Bartha, Ferenc A."
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Item Dynamics of an SIRWS model with waning of immunity and varying immune boosting period(Journal of Biological Dynamics, 2022-07-29) Opoku-Sarkodie, Richmond; Bartha, Ferenc A.; Polner, Mónika; Röst, GergelySIRS models capture transmission dynamics of infectious diseases for which immunity is not lifelong. Extending these models by a W compartment for individuals with waning immunity, the boosting of the immune system upon repeated exposure may be incorporated. Previous analyses assumed identical waning rates from R to W and from W to S. This implicitly assumes equal length for the period of fullimmunityandofwanedimmunity.Werelaxthisrestriction,andallowan asymmetric partitioning of the total immune period. Stability switches of the endemic equilibrium are investigated with a combination of analytic and numerical tools. Then, continuation methods are applied to track bifurcations along the equilibrium branch. We find rich dynamics: Hopf bifurcations, endemic double bubbles, and regions of biostability. Our results highlight that the length of the period in which waning immunity can be boosted is a crucial parameter significantly influencing long term epidemiological dynamics.