Lecture 18: Disease Dynamics Flashcards
if Infectious disease
virus, bacteria, or other parasite that can be passed from one host to the next
showcase population dynamics
Infectious disease temporal patterns
Endemic: relatively small fluctuations
Outbreak: present but flaring up in outbreaks at frequent intervals
Epidemic: intense outbreaks followed by disappearance
How can we tell if a disease will become an epidemic?
Simple models can help us to understand
Classic Disease dynamics
As the disease progresses, susceptible population declines and d//dt (number of individuals infected changes over time) turns negative
Outbreak intensity depends on
R0
R0 = N β / γ
N= population size
β= transmission rate
γ= recovery rate
Decreasing the probability of a disease outbreak
R0 = N β / γ ; if R0 < 1 outbreak not likely
Decrease N: decrease number of interacting individuals in a population
Decrease β (transmission efficiency): wear a mask, wash hands, stand over 6 feet apart
Increase γ (decrease time period of infecting others): stay home when you are sick, get tested and stay home if you have the disease
Decreasing the probability of a disease outbreak S (susceptible individuals)
dl/dt < 0 S β/γ <1
▪ S β/γ is the disease’s λ (rate at which susceptible individuals are exposed to the infection)
Decreasing S?
▪ Vaccination!
Herd immunity
Some individuals never get the disease because when enough individuals are recovered and no longer susceptible to it the disease cannot spread as well, λ falls below 1 and the disease dies out
but a lot of people still get the disease
this does not mean we just wait for disease to pass
it does mean vaccination does not have to be perfect to eradicate a disease
Polio Disease
Causes paralysis
A vaccine became available in 1955
Vaccines have been successful at decreasing Polio
It’s thought possible that we could have completely eradicate it
But when vaccines drop it can resurge
Rare genetics diseases are more common in
small populations due to inbreeding
Infectious diseases increase with
population size
diseases spread more easily
more susceptible individuals, easier for disease to spread when populations are dense
Australian Rabbit infected with myxoma virus
Eye is shut closed
Take sample of virus in different epidemics experienced by the population
Variation in lethality correlated with epidemic number
Evolution of lower lethality is beneficial to virus
Lower lethality decreases gamma (recovery rate)
Individuals are infected for longer and the disease can spread more effectively
Sharp outbreaks are actually bad for viruses too since it
can die out completely
If the curve flattens for disease,
new births are fast enough to replenish the susceptible pool in time, the disease can go and on (common cold virus, etc)
It is not really interest of virus “_____”, so this should be a ______
individuals, weak form of selection