Complex multiannual cycles of Mycoplasma pneumoniae: persistence and the role of stochasticity

Fuente: arXiv
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Autores principales: Nielsen, Bjarke Frost, Park, Sang Woo, Howerton, Emily, Lorentzen, Olivia Frost, Jensen, Mogens H., Grenfell, Bryan T.
Formato: Preprint
Publicado: 2025
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author Nielsen, Bjarke Frost
Park, Sang Woo
Howerton, Emily
Lorentzen, Olivia Frost
Jensen, Mogens H.
Grenfell, Bryan T.
author_facet Nielsen, Bjarke Frost
Park, Sang Woo
Howerton, Emily
Lorentzen, Olivia Frost
Jensen, Mogens H.
Grenfell, Bryan T.
contents The epidemiological dynamics of Mycoplasma pneumoniae is characterized by poorly understood complex multiannual cycles. The origins of these cycles have long been debated, and multiple explanations of varying complexity have been suggested. Using Bayesian methods, we fit a dynamical model to half a century of M. pneumoniae surveillance data from Denmark (1958-1995, 2010-2025) and uncover a parsimonious explanation for the persistent cycles, based on the theory of quasicycles. The period of the multiannual cycle (approx. 5 years in Denmark) is explained by susceptible replenishment due, primarily, to loss of immunity. While an excellent fit to shorter time series (a few decades), the deterministic model eventually settles into an annual cycle, unable to reproduce the persistent cycles. We find that environmental stochasticity (e.g., varying contact rates) stabilizes the multiannual cycles and so does demographic noise, at least in smaller or incompletely mixing populations. The temporary disappearance of cycles during 1979-1985 is explained as a consequence of stochastic mode-hopping. The circulation of M. pneumoniae was recently disrupted by COVID-19 non-pharmaceutical interventions (NPIs), providing a natural experiment on the effects of large perturbations. Consequently, the effects of NPIs are included in the model and medium-term predictions are explored. Our findings highlight the intrinsic sensitivity of M. pneumoniae dynamics to perturbations and interventions, underscoring the limitations for long-term prediction. More generally, our findings provide further evidence for the role of stochasticity as a driver of complex cycles across endemic and recurring pathogens.
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id arxiv_https___arxiv_org_abs_2504_11402
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Complex multiannual cycles of Mycoplasma pneumoniae: persistence and the role of stochasticity
Nielsen, Bjarke Frost
Park, Sang Woo
Howerton, Emily
Lorentzen, Olivia Frost
Jensen, Mogens H.
Grenfell, Bryan T.
Populations and Evolution
Chaotic Dynamics
The epidemiological dynamics of Mycoplasma pneumoniae is characterized by poorly understood complex multiannual cycles. The origins of these cycles have long been debated, and multiple explanations of varying complexity have been suggested. Using Bayesian methods, we fit a dynamical model to half a century of M. pneumoniae surveillance data from Denmark (1958-1995, 2010-2025) and uncover a parsimonious explanation for the persistent cycles, based on the theory of quasicycles. The period of the multiannual cycle (approx. 5 years in Denmark) is explained by susceptible replenishment due, primarily, to loss of immunity. While an excellent fit to shorter time series (a few decades), the deterministic model eventually settles into an annual cycle, unable to reproduce the persistent cycles. We find that environmental stochasticity (e.g., varying contact rates) stabilizes the multiannual cycles and so does demographic noise, at least in smaller or incompletely mixing populations. The temporary disappearance of cycles during 1979-1985 is explained as a consequence of stochastic mode-hopping. The circulation of M. pneumoniae was recently disrupted by COVID-19 non-pharmaceutical interventions (NPIs), providing a natural experiment on the effects of large perturbations. Consequently, the effects of NPIs are included in the model and medium-term predictions are explored. Our findings highlight the intrinsic sensitivity of M. pneumoniae dynamics to perturbations and interventions, underscoring the limitations for long-term prediction. More generally, our findings provide further evidence for the role of stochasticity as a driver of complex cycles across endemic and recurring pathogens.
title Complex multiannual cycles of Mycoplasma pneumoniae: persistence and the role of stochasticity
topic Populations and Evolution
Chaotic Dynamics
url https://arxiv.org/abs/2504.11402