<p>The effect of pink stochastic variation on outbreak dynamics at different environmental variances. Left panels (A)–(C): variations affect pathogen growth rate <i>r</i><sub>p</sub>. Right panels (D)–(F): variation affects 50% infective dose <i>ID</i><sub>50</sub>. Top panels (A) and (D): cumulative incidences. Each dot represents a single outbreak, the number of which varies between simulations. The lines show a marginal kernel density estimate of peak areas. Panels (B), (C), (E) and (F): number of peaks and minimum values of healthy host density. Each dot represents a single simulation run. The lines show a smoothing spline fit to the points. In all simulations the spectral exponent <i>γ</i> = 1, i.e. pink noise. Colours red, black, and ...
<p>Grey lines show 500 stochastic realizations of the individual-based model run on different random...
<p>(A, B) show the standard deviation of population fluctuations, (C, D) show mean population densit...
<p>In all panels A–F, colored curves represent the pathogen population sizes of different virus stra...
<p>The effect of the colour of stochastic variation (spectral exponent) on epidemiology. Left panels...
<p>Effects of two stochastic environmental variations directed at pathogen growth rate <i>r</i><sub>...
<p>The effect of the variance of periodic environmental variation on the severity of outbreaks and h...
<p>Each plot is a comparison of the outcome of the runs starting with a particular immunity level to...
<p>Transmission of the disease is altered to reflect the impact of the size of the at-risk populatio...
<p>(A) Five stochastic simulations of Muizenberg Mathematical Fever outbreaks using transmission par...
<p>(A) Correlation between true <i>r</i><sub><i>i</i></sub> (x-axis) and estimated (y-axis) (all va...
<p>The size of the perturbation effect, , at time starting near the disease free equilibrium for (A...
<p>The dynamics of reinfection (A) and the mean parasitaemia (B) are shown for the stochastic simula...
<p>Proportion of the mutant is calculated as the number of hosts infected by the mutant parasite div...
<p>(A) 1280 patches of size 25, longest simulation run, note only three patches infected, (B) 128 pa...
<p>Multiple executions of the stochastic FluTE model with identical epidemiological configuration le...
<p>Grey lines show 500 stochastic realizations of the individual-based model run on different random...
<p>(A, B) show the standard deviation of population fluctuations, (C, D) show mean population densit...
<p>In all panels A–F, colored curves represent the pathogen population sizes of different virus stra...
<p>The effect of the colour of stochastic variation (spectral exponent) on epidemiology. Left panels...
<p>Effects of two stochastic environmental variations directed at pathogen growth rate <i>r</i><sub>...
<p>The effect of the variance of periodic environmental variation on the severity of outbreaks and h...
<p>Each plot is a comparison of the outcome of the runs starting with a particular immunity level to...
<p>Transmission of the disease is altered to reflect the impact of the size of the at-risk populatio...
<p>(A) Five stochastic simulations of Muizenberg Mathematical Fever outbreaks using transmission par...
<p>(A) Correlation between true <i>r</i><sub><i>i</i></sub> (x-axis) and estimated (y-axis) (all va...
<p>The size of the perturbation effect, , at time starting near the disease free equilibrium for (A...
<p>The dynamics of reinfection (A) and the mean parasitaemia (B) are shown for the stochastic simula...
<p>Proportion of the mutant is calculated as the number of hosts infected by the mutant parasite div...
<p>(A) 1280 patches of size 25, longest simulation run, note only three patches infected, (B) 128 pa...
<p>Multiple executions of the stochastic FluTE model with identical epidemiological configuration le...
<p>Grey lines show 500 stochastic realizations of the individual-based model run on different random...
<p>(A, B) show the standard deviation of population fluctuations, (C, D) show mean population densit...
<p>In all panels A–F, colored curves represent the pathogen population sizes of different virus stra...