From 9708c72896778dc542a519e345b69c17737a9d05 Mon Sep 17 00:00:00 2001
From: bnewbold <bnewbold@robocracy.org>
Date: Tue, 14 Jun 2016 22:13:19 -0400
Subject: import notes from recurse folder

---
 notes/lotka_volterra.toml | 63 +++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 63 insertions(+)
 create mode 100644 notes/lotka_volterra.toml

(limited to 'notes/lotka_volterra.toml')

diff --git a/notes/lotka_volterra.toml b/notes/lotka_volterra.toml
new file mode 100644
index 0000000..7d2cf0d
--- /dev/null
+++ b/notes/lotka_volterra.toml
@@ -0,0 +1,63 @@
+
+[model]
+name-en = "Lotka–Volterra equations"
+descrption-en = "Predator-Prey Model"
+sexprs = ['''
+  (=
+    (partial-derivative x t)
+    (- (* alpha x)
+       (* beta x y)))
+  ''','''
+  (=
+    (partial-derivative y t)
+    (- (* delta x y)
+       (* gamma y)))
+  ''']
+
+[variables]
+
+  [variables.t]
+  type = 'time' # or "independent"?
+
+  [variables.x]
+  type = 'state'
+
+  [variables.y]
+  type = 'state'
+
+  [variables.alpha]
+  type = 'parameter'
+  latex = '\alpha'
+  unicode = 'α'
+
+  [variables.beta]
+  type = 'parameter'
+  latex = '\beta'
+  unicode = 'β'
+
+  [variables.delta]
+  type = 'parameter'
+  latex = '\delta'
+  unicode = 'δ'
+
+  [variables.gamma]
+  type = 'parameter'
+  latex = '\gamma'
+  unicode = 'γ'
+
+[examples]
+
+  [examples.mathworld]
+  x = 10
+  y = 5
+  alpha = 1.5
+  beta = 1
+  gamma = 1
+  t = [0, 20]
+
+[references]
+  
+  [references.url]
+  "Mathworld" = "http://mathworld.wolfram.com/Lotka-VolterraEquations.html"
+  "Wikipedia" = "https://en.wikipedia.org/wiki/Lotka%E2%80%93Volterra_equations"
+
-- 
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