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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"
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