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authorbnewbold <bnewbold@robocracy.org>2016-09-16 20:32:37 -0700
committerbnewbold <bnewbold@robocracy.org>2016-09-16 20:32:37 -0700
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-
-[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"
-