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58 changes: 0 additions & 58 deletions
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...hs/models/Ordinary Differential Equations/models/For Advanced Users/ContinuousCurves.gaml
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...fferential Equations/models/For Advanced Users/Displays (Continuous, Phase Portrait).gaml
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| /** | ||
| * continuous curves | ||
| * Author: Tri and Nghi | ||
| * Description: | ||
| * | ||
| * This model illustrates different displays for a Lotka-Volterra model. ABMs usually only require a discrete | ||
| * visualization of the results (one value per cycle). EBMs compute a continuous solution, and thus require | ||
| * a continuous display. The syntax is shown below. | ||
| * | ||
| * Phase portraits are very common in mathematics, and can be displayed with the 'type: xy' facet. | ||
| */ | ||
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| model Displays | ||
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| global { | ||
| init { | ||
| create LV_model with: [x::2.0, y::2.0]; | ||
| } | ||
| } | ||
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| species LV_model { | ||
| float t; | ||
| float x; | ||
| float y; | ||
| float h <- 0.1; | ||
| float alpha <- 0.8; | ||
| float beta <- 0.3; | ||
| float gamma <- 0.2; | ||
| float delta <- 0.85; | ||
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| equation eqLV { | ||
| diff(x, t) = x * (alpha - beta * y); | ||
| diff(y, t) = -y * (delta - gamma * x); | ||
| } | ||
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| reflex solving { | ||
| solve eqLV method: #rk4 step_size: h; | ||
| } | ||
| } | ||
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| experiment Displays type: gui { | ||
| float minimum_cycle_duration <- 0.1#s; | ||
| output { | ||
| layout #split; | ||
| display D1 synchronized:false { | ||
| chart 'Time series' type: series background: #white y_label:"pop" x_tick_line_visible: false{ | ||
| data "x" value: first(LV_model).x color: rgb(52,152,219); | ||
| data "y" value: first(LV_model).y color: rgb(41,128,185); | ||
| } | ||
| } | ||
| display D2 synchronized:false { | ||
| chart 'Time series - continuous display' type: series background: #white y_label:"pop" x_tick_line_visible: false{ | ||
| // chart 'Time series - continuous display' type: series x_serie: first(LV_model).t[] background: #white y_label:"pop"{ | ||
| data "x" value: first(LV_model).x[] color: rgb(52,152,219) marker: false; | ||
| data "y" value: first(LV_model).y[] color: rgb(41,128,185) marker: false; | ||
| } | ||
| } | ||
| display D3 name: "Phase Portrait " synchronized:false { | ||
| chart 'Phase Portrait' type: xy background: #white x_label: "x" y_label:"y"{ | ||
| // Continuous display requires to pass a list of two values x and y | ||
| data "y(x(t))" value: [first(LV_model).x,first(LV_model).y] color: rgb(243,156,18); | ||
| } | ||
| } | ||
| display D4 name: "Phase Portrait - continuous display" synchronized:false { | ||
| chart 'Phase Portrait - continuous display' type: xy background: #white x_label: "x" y_label:"y"{ | ||
| // Continuous display requires to pass a list of two values x and y | ||
| data "y(x(t))" value: rows_list(matrix(first(LV_model).x[],first(LV_model).y[])) color: rgb(243,156,18) marker: false; | ||
| } | ||
| } | ||
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| } | ||
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| } |
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...y Differential Equations/models/For Advanced Users/SIR (Simple with advanced charts).gaml
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