کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4502564 | 1320579 | 2011 | 10 صفحه PDF | دانلود رایگان |
Approximations in population dynamics are gaining popularity since stochastic models in large populations are time consuming even on a computer. Stochastic modeling causes an infinite set of ordinary differential equations for the moments. Closure models are useful since they recast this infinite set into a finite set of ordinary differential equations. This paper systematizes a set of closure approximations. We develop a system, which we call a power pp closure of nn moments, where 0≤p≤n0≤p≤n. Keeling, 2000a and Keeling, 2000b approximation with third order moments is shown to be an instantiation of this system which we call a power 3 closure of 3 moments. We present an epidemiological example and evaluate the system for third and fourth moments compared with Monte Carlo simulations.
Journal: Theoretical Population Biology - Volume 80, Issue 3, November 2011, Pages 175–184