Epidemic models which incorporate disease evolution

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SUMMARY

The discussion centers on epidemic models that incorporate disease evolution, specifically focusing on the SIR (susceptible, infectious, recovered) model. Participants express interest in understanding how mutations in diseases, both rapid and slow, influence epidemic progression and endemic populations. The conversation highlights the probabilistic nature of modeling disease evolution through genetic drift and shift, while referencing Paul Ewald's work on the 1918-1919 Flu Pandemic to illustrate the potential impact of mutation rates on susceptibility and virulence.

PREREQUISITES
  • Understanding of the SIR epidemic model and its differential equations.
  • Knowledge of genetic drift and shift in disease evolution.
  • Familiarity with probabilistic modeling techniques.
  • Awareness of historical pandemic case studies, such as the 1918 Flu Pandemic.
NEXT STEPS
  • Research advanced SIR model variations that include mutation dynamics.
  • Explore genetic drift and shift in the context of viral evolution.
  • Study Paul Ewald's 'Evolution of Infectious Disease' for insights on historical pandemics.
  • Investigate computational tools for simulating epidemic models with evolving pathogens.
USEFUL FOR

Researchers in epidemiology, public health officials, and anyone interested in the intersection of disease evolution and epidemic modeling.

*melinda*
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I was wondering if anyone knew anything about epidemic models which take into account the ability of a disease to mutate. Basically I’m curious if there are any existing models which could predict how a rapidly changing disease might affect the progression of an epidemic, or how slower mutations in a disease might affect populations where that disease is endemic.

Based on what I’ve read so far it seems like the SIR (susceptible, infectious, recovered) model described by systems of differential equations is the standard epidemic model in use. And the only thing I know about disease evolution (i.e. genetic drift and shift) is that it seems to be modeled probabilistically. I’ve seen both topics covered independently, but so far I have not read anything that deals with how these things might interact.

Is this question in any way biologically relevant or realistic?
 
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In general, most mutations do not work to the favor of the pathogen.

So, what you are asking is: how can mutation rate affect the S component of SIR?
My opinion is that it can change. See Paul Ewald's 'Evolution of Infectious Disease' - the section on the increase in susceptibility/virulence that occurred during the Flu Pandemic of 1918-1919.

How you would quantify this is beyond me.
 

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