Created
March 14, 2022 02:39
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Shiny Solve Diffeq
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| # | |
| # This is a Shiny web application. You can run the application by clicking | |
| # the 'Run App' button above. | |
| # | |
| # Find out more about building applications with Shiny here: | |
| # | |
| # http://shiny.rstudio.com/ | |
| # | |
| library(shiny) | |
| # Define UI for application that draws a histogram | |
| ui <- fluidPage( | |
| # Application title | |
| titlePanel("Old Faithful Geyser Data"), | |
| # Sidebar with a slider input for number of bins | |
| sidebarLayout( | |
| sidebarPanel( | |
| sliderInput("r", | |
| "r", | |
| min = 0, | |
| max = 2, | |
| value = 1.1, | |
| step = 0.05), | |
| sliderInput("a", | |
| "a", | |
| min = 0, | |
| max = 1, | |
| value = .6), | |
| sliderInput("c", | |
| "c", | |
| min = 0, | |
| max = 1, | |
| value = .6), | |
| sliderInput("e", | |
| "e", | |
| min = 0, | |
| max = 1, | |
| value = .5), | |
| sliderInput("d", | |
| "d", | |
| min = 0, | |
| max = 1, | |
| value = .2), | |
| sliderInput("K", | |
| "K", | |
| min = 0, | |
| max = 100, | |
| value = 80), | |
| sliderInput("R_max", | |
| "(x) Prey Axis Max:", | |
| min=20, | |
| max=200, | |
| value=100 | |
| ), | |
| sliderInput("P_max", | |
| "(y) Predator Axis Max:", | |
| min=20, | |
| max=200, | |
| value=100 | |
| ), | |
| sliderInput("Row_len", | |
| "Arrow Length", | |
| min=0.5, | |
| max=20, | |
| value=2 | |
| ), | |
| sliderInput("Row_wid", | |
| "Arrow width", | |
| min=0.01, | |
| max=2, | |
| value=0.5 | |
| ), | |
| sliderInput("steps", | |
| "steps", | |
| min=1, | |
| max=100, | |
| value=100 | |
| ) | |
| ), | |
| # Show a plot of the generated distribution | |
| mainPanel( | |
| plotOutput("distPlot") | |
| ) | |
| ) | |
| ) | |
| # Define server logic required to draw a histogram | |
| server <- function(input, output) { | |
| output$distPlot <- renderPlot({ | |
| # generate bins based on input$bins from ui.R | |
| mk_diffFn <- | |
| function(r=1.1, a=0.6, c=0.6, e=0.5, d=0.2, K=80){ | |
| dR<-\(R,P) (r*R*(1-(R/K))-P*((c*R)/(a+R))) | |
| dP<-\(R,P) (((e*c*R)/(a+R))*P-(d*P)) | |
| list_out <- list( | |
| dydx = (\(R,P) dR(R,P)/dP(R,P)), | |
| dx = dR, | |
| dy = dP | |
| ) | |
| return(list_out) | |
| } | |
| dif_fns <- mk_diffFn( | |
| r = input$r, | |
| a = input$a, | |
| c = input$c, | |
| e = input$e, | |
| d = input$d, | |
| K = input$K | |
| ) | |
| secX <- seq(1,input$R_max,length.out = input$steps) | |
| secY <- seq(1,input$P_max,length.out = input$steps) | |
| dx_i <- outer(secX,secY,dif_fns[[2]]) | |
| dy_i <- outer(secX,secY,dif_fns[[3]]) | |
| mag_nitude <- sqrt(as.vector(dx_i)^2 + as.vector(dy_i)^2) | |
| shrink_fac <- max(input$R_max,input$P_max) / input$steps / max(mag_nitude) * input$Row_len | |
| x_i0 <- rep(secX, each=length(secY)) | |
| x_i1 <- x_i0 + (dx_i * shrink_fac) | |
| y_i0 <- rep(secY, length(secX)) | |
| y_i1 <- y_i0 + (dy_i * shrink_fac) | |
| plot(x_i0,y_i0) | |
| arrows( | |
| x_i0,y_i0, | |
| x_i1,y_i1, | |
| length = input$Row_wid, | |
| col = mag_nitude | |
| ) | |
| },height = 1000) | |
| } | |
| # Run the application | |
| shinyApp(ui = ui, server = server) |
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