Perspective - Journal of Evolutionary Medicine ( 2022) Volume 10, Issue 9

Implementation of SIRWS Models in Immunology

Federico Frascoli*
Department of Medicine, University of Szeged, Hungary
*Corresponding Author:
Federico Frascoli, Department of Medicine, University of Szeged, Hungary, Email:

Received: 30-Aug-2022, Manuscript No. JEM-22-80609; Editor assigned: 01-Sep-2022, Pre QC No. JEM-22-80609 (PQ); Reviewed: 15-Sep-2022, QC No. JEM-22-80609; Revised: 20-Sep-2022, Manuscript No. JEM-22-80609 (R); Published: 27-Sep-2022, DOI: 10.4303/JEM/236084


The process of fading immunity in some disease systems can be delicate, including a complex interaction between the duration of immunity acquired either by natural infection or vaccination and subsequent strengthening of immunity through asymptomatic re-exposure. To study the interaction between infection and immunity, we develop and analyse a model of infectious disease transmission that distinguishes between primary and secondary infections. Additionally, in order to examine the influence on long-term illness patterns and infection prevalence in the context of immunological boosting, we allow the duration of infection-acquired immunity to differ from that of vaccine-acquired immunity. Immunizations can provide protection from infections, serious illnesses, infectiousness, or any combination of these.

A vaccination may not provide sterilising immunity in a number of different ways, including duration and degree of protection. Vaccines may only partially protect a person by, for instance, slightly lowering their susceptibility. In addition, the level of protection can decrease over time. It’s important to note that, as appears to be the case for pertussis, the length of protection obtained by a vaccination may be significantly less than that offered by a natural illness. In addition, infections following vaccination or naturally occurring infections are possible; these secondary infections may be milder or asymptomatic. It may be challenging to identify the vaccine failure mechanism through which a vaccinated person contracts the infection.

The long-term dynamics of the models are characterised by the power spectra of the output prevalence time series. When compared to ensembles of many decades’ worth of pre-vaccination data records, the power spectra for epidemiological parameters that are compatible with published data demonstrate quantitative and even qualitative variations that may be used to evaluate their assumptions. We use two freely accessible historical datasets to demonstrate this approach.


In many different contexts, the Susceptible-Infectious-Recovered (SIR) method has been used to comprehend the dynamics of communicable disease transmission. Immunity is not always permanent against many infections, and after some time, those who have recovered may once more become vulnerable. Prior to that, frequent contact with the pathogen may strengthen the immune system and lengthen the immunological period. The mechanics of waning-boosting have been discussed in a fairly broad framework. The SIRWS compartmental models, where W is the group of people whose immunity is decreasing but may be strengthened following repeated exposure without experiencing the disease again, are special examples of that. By further separating the population of immune people into two classes according to their level of immunity, the SIRWS model expands on the SIRS model. The recovered (R) class has complete immunity. If a person’s immunity has sufficiently faded (W), they may either lose it or revert to the susceptible class, or they may get it back upon re-exposure and revert to the recovered class. The following collection of ordinary represents the system mathematically.

Individuals who have had the illness at least once or who have had the vaccination before have secondary infections in this case. Primary infections, on the other hand, affect people with poor immune systems. Although considered less serious than initial illnesses, secondary infections are just as contagious. To possibly affect case notifications of any specific disease, we examine how the prevalence of severe disease changes with variations in the length of infection and vaccine- acquired immunity. Pertussis epidemics are assumed to be cyclical due to three biological causes. The dynamics are susceptible to random perturbations because to the lengthy infectious phase, which is expected to last between three and four weeks. This sensitivity eventually results in temporary multi-annual cyclicity. Second, infections increase immunity, which in turn triggers nonlinear feedbacks in the dynamics. Once infected, people are normally immune to re-infection for at least a few years. Third, immunological memory response elements can be activated by repeated exposure, which may lengthen protection after infection and create positive feedback loops between incidence and population-level immunity. With a mean infection age of roughly five years and rare reports of reinfection, pertussis was once considered to be a typical, permanently immunising childhood infection. But recently, rising frequency among teens in highly immunised communities has prompted medical professionals and researchers to re-evaluate the length of pertussis protection. It is now commonly accepted that vaccination-induced immunity declines as people age and that these illnesses help spread the disease. Furthermore, virus-induced immunity may not provide a lifelong defence against infection, according to cross-sectional serological studies and clinical records.


SIRWS ODE models that appear straightforward can have extremely complex dynamics. This investigation showed that a crucial factor that considerably affects the dynamics of the system is the separation of the immunity period into maximally immune and boostable periods. Future epidemiological research should thus make an effort to determine this number in order to have a better understanding of the impact of waning-boosting processes on epidemic outcomes.

Copyright: © 2022 Frascoli F. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.