|
| 1 | +% Created 2017-10-03 Tue 19:55 |
| 2 | +% Intended LaTeX compiler: pdflatex |
| 3 | +\documentclass[11pt]{article} |
| 4 | +\usepackage[utf8]{inputenc} |
| 5 | +\usepackage[T1]{fontenc} |
| 6 | +\usepackage{graphicx} |
| 7 | +\usepackage{grffile} |
| 8 | +\usepackage{longtable} |
| 9 | +\usepackage{wrapfig} |
| 10 | +\usepackage{rotating} |
| 11 | +\usepackage[normalem]{ulem} |
| 12 | +\usepackage{amsmath} |
| 13 | +\usepackage{textcomp} |
| 14 | +\usepackage{amssymb} |
| 15 | +\usepackage{capt-of} |
| 16 | +\usepackage{hyperref} |
| 17 | +\usepackage{minted} |
| 18 | +\author{Kawin Nikomborirak} |
| 19 | +\date{\today} |
| 20 | +\title{} |
| 21 | +\hypersetup{ |
| 22 | + pdfauthor={Kawin Nikomborirak}, |
| 23 | + pdftitle={}, |
| 24 | + pdfkeywords={}, |
| 25 | + pdfsubject={}, |
| 26 | + pdfcreator={Emacs 25.3.1 (Org mode 9.1.1)}, |
| 27 | + pdflang={English}} |
| 28 | +\begin{document} |
| 29 | + |
| 30 | +\tableofcontents |
| 31 | + |
| 32 | +\begin{minted}[frame=single]{python} |
| 33 | +from modsim import (TimeSeries, TimeFrame, System, State, linrange) |
| 34 | + |
| 35 | +init = State(juveniles=0, adults=10) |
| 36 | +system = System(init=init, t0 = 0, t_end=20, birth_rate=0.90, |
| 37 | + mature_rate=0.33, death_rate=0.5) |
| 38 | +\end{minted} |
| 39 | + |
| 40 | +\begin{minted}[frame=single]{python} |
| 41 | +<<pre>> |
| 42 | + |
| 43 | +def run_simulation(system): |
| 44 | + """Runs a proportional growth model. |
| 45 | + |
| 46 | + Adds TimeSeries to `system` as `results`. |
| 47 | + |
| 48 | + system: System object |
| 49 | + """ |
| 50 | + juveniles = TimeSeries() |
| 51 | + juveniles[system.t0] = system.init.juveniles |
| 52 | + |
| 53 | + adults = TimeSeries() |
| 54 | + adults[system.t0] = system.init.adults |
| 55 | + |
| 56 | + for t in linrange(system.t0, system.t_end): |
| 57 | + maturations = system.mature_rate * juveniles[t] |
| 58 | + births = system.birth_rate * adults[t] |
| 59 | + deaths = system.death_rate * adults[t] |
| 60 | + |
| 61 | + if adults[t] > 30: |
| 62 | + market = adults[t] - 30 |
| 63 | + else: |
| 64 | + market = 0 |
| 65 | + |
| 66 | + juveniles[t + 1] = juveniles[t] + births - maturations |
| 67 | + adults[t + 1] = adults[t] + maturations - deaths - market |
| 68 | + |
| 69 | + system.adults = adults |
| 70 | + system.juveniles = juveniles |
| 71 | +\end{minted} |
| 72 | + |
| 73 | +\begin{minted}[frame=single]{python} |
| 74 | +from modsim import (TimeSeries, TimeFrame, System, State, linrange) |
| 75 | + |
| 76 | +init = State(juveniles=0, adults=10) |
| 77 | +system = System(init=init, t0 = 0, t_end=20, birth_rate=0.90, |
| 78 | + mature_rate=0.33, death_rate=0.5) |
| 79 | + |
| 80 | +def run_simulation(system): |
| 81 | + """Runs a proportional growth model. |
| 82 | + |
| 83 | + Adds TimeSeries to `system` as `results`. |
| 84 | + |
| 85 | + system: System object |
| 86 | + """ |
| 87 | + juveniles = TimeSeries() |
| 88 | + juveniles[system.t0] = system.init.juveniles |
| 89 | + |
| 90 | + adults = TimeSeries() |
| 91 | + adults[system.t0] = system.init.adults |
| 92 | + |
| 93 | + for t in linrange(system.t0, system.t_end): |
| 94 | + maturations = system.mature_rate * juveniles[t] |
| 95 | + births = system.birth_rate * adults[t] |
| 96 | + deaths = system.death_rate * adults[t] |
| 97 | + |
| 98 | + if adults[t] > 30: |
| 99 | + market = adults[t] - 30 |
| 100 | + else: |
| 101 | + market = 0 |
| 102 | + |
| 103 | + juveniles[t + 1] = juveniles[t] + births - maturations |
| 104 | + adults[t + 1] = adults[t] + maturations - deaths - market |
| 105 | + |
| 106 | + system.adults = adults |
| 107 | + system.juveniles = juveniles |
| 108 | +run_simulation(system) |
| 109 | +print(system.adults) |
| 110 | +\end{minted} |
| 111 | + |
| 112 | +\begin{minted}[frame=single]{python} |
| 113 | +from modsim import (TimeSeries, TimeFrame, System, State, linrange) |
| 114 | + |
| 115 | +init = State(juveniles=0, adults=10) |
| 116 | +system = System(init=init, t0 = 0, t_end=20, birth_rate=0.90, |
| 117 | + mature_rate=0.33, death_rate=0.5) |
| 118 | + |
| 119 | +def run_simulation(system): |
| 120 | + """Runs a proportional growth model. |
| 121 | + |
| 122 | + Adds TimeSeries to `system` as `results`. |
| 123 | + |
| 124 | + system: System object |
| 125 | + """ |
| 126 | + frame = TimeFrame(columns=system.init.index) |
| 127 | + frame.loc[system.t0] = system.init |
| 128 | + |
| 129 | + for t in linrange(system.t0, system.t_end): |
| 130 | + maturations = system.mature_rate * frame['juveniles'][t] |
| 131 | + births = system.birth_rate * frame['adults'][t] |
| 132 | + deaths = system.death_rate * frame['adults'][t] |
| 133 | + |
| 134 | + if frame['adults'][t] > 30: |
| 135 | + market = frame['adults'][t] - 30 |
| 136 | + else: |
| 137 | + market = 0 |
| 138 | + |
| 139 | + frame.loc[t + 1] = [frame['juveniles'][t] + births - maturations, |
| 140 | + frame['juveniles'][t] + maturations - deaths - market] |
| 141 | + |
| 142 | + system.results = frame |
| 143 | +run_simulation(system) |
| 144 | +print(system.results) |
| 145 | +\end{minted} |
| 146 | + |
| 147 | +\begin{minted}[frame=single]{python} |
| 148 | +from modsim import (TimeSeries, TimeFrame, System, State, linrange) |
| 149 | + |
| 150 | +init = State(juveniles=0, adults=10) |
| 151 | +system = System(init=init, t0 = 0, t_end=20, birth_rate=0.90, |
| 152 | + mature_rate=0.33, death_rate=0.5) |
| 153 | + |
| 154 | +def plot_results(sytsem): |
| 155 | + system.results.plot() |
| 156 | +\end{minted} |
| 157 | +\end{document} |
0 commit comments