[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"