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Question: Explore or Maplet?

Question:Explore or Maplet?

nm 12143 Maple 2025
explore maplets
5 hours ago
0

I never used Maplets before.

Been learning Explore, which is OK, but the UI does not look good. Too much white spaces between sliders.  So been looking at Maplets to use instead.

Should one just use Maplets to make interactive demos with sliders, buttons, popup menus and so on or use Explore? Which is better?

I do not waste more time learning Explore more if Maplets is a better choice.

If someone here knows Maplet, here is something I just wrote in Explore.  Could this be coded in Maplet to see how it will look like. It took me 30 minutes to make it using Explore and I am no expert in Explore, so hopefully it should not take someone who knows Maplets much time to produce same thing as Maplet. I wanted to see if the UI will look better or same issues with too wasted spaces between sliders.  I assume with Maplets, there is same concept as Explore, with range of variables, and initial values and so on...

I understand one can run Maplet using Maple viewer without needing to have Maple installed on the PC, so this is an advantage.

 

> 

 

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restart;
> 

ode_1 := diff(x(t),t) = r*x(t) *(1-(x(t)+beta*y(t))/k1):
ode_2 := diff(y(t),t) = k*y(t) *(1-(y(t)+alpha*x(t))/k2):
> 

Explore(DEtools:-DEplot(
     [ ode_1, ode_2],[x(t),y(t)],t=0..max_time,[[x(0)=x0,y(0)=y0]],
     x=0..max_x, y=0..max_y,'labels'=["Elk","Deer"],'dirfield'=[ngrid,ngrid],
     'arrows'='SLIM', #'smalltwo',
     'axes'='boxed', 'color' = blue,'linecolor'='red',#color of solution
     'obsrange'=false,
     'title'="Lotka -Volterra Model of Competition"
     ),
    parameters=[
     [r=0..5,'controller' = 'slider','minorticks'=.1,'snaptoticks'=true, 'label' = "Elk growth rate r",'showlabels'=false,placement='right'],
     [alpha=0..2,'controller' = 'slider','minorticks'=.1,'snaptoticks'=true, 'label' = "Elk competition alpha",'showlabels'=false,placement='right'],
     [k1=100..1000,'controller' = 'slider','minorticks'=10,'snaptoticks'=true, 'label' = "Elk carrying capacity",'showlabels'=false,placement='right'],
     [k=0..5,'controller' = 'slider','minorticks'=.1,'snaptoticks'=true, 'label' = "Deer growth rate k",'showlabels'=false,placement='right'],
     [beta=0..2,'controller' = 'slider','minorticks'=.1,'snaptoticks'=true, 'label' = "Deer competition beta",'showlabels'=false,placement='right'],
     [k2=100..1000,'controller' = 'slider','minorticks'=10,'snaptoticks'=true, 'label' = "Deer carrying capacity",'showlabels'=false,placement='right'],
     [max_time=1..200,'controller' = 'slider','minorticks'=1,'snaptoticks'=true, 'label' = "max time",'showlabels'=false,placement='left'],
     [max_x=1..1000,'controller' = 'slider','minorticks'=1,'snaptoticks'=true, 'label' = "max x",'showlabels'=false,placement='left'],
     [max_y=1..1000,'controller' = 'slider','minorticks'=1,'snaptoticks'=true, 'label' = "max y",'showlabels'=false,placement='left'],
     [x0=1..200,'controller' = 'slider','minorticks'=1,'snaptoticks'=true, 'label' = "Deer initial population",'showlabels'=false,placement='left'],
     [y0=1..200,'controller' = 'slider','minorticks'=1,'snaptoticks'=true, 'label' = "Elk initial population",'showlabels'=false,placement='left'],
     [ngrid=10..30,'controller' = 'slider','minorticks'=1,'snaptoticks'=true, 'label' = "arrows",'showlabels'=false,placement='left']     
    ],
    initialvalues=[r=0.12,k1=600,alpha=1.5,k2=600,k=0.18,beta=1.2,x0=75,y0=100,ngrid=24,max_x=700,max_y=700,max_time=100],
    'adaptview'=true
);
> 

 


 

Download lotka_volterra.mw

Screen shot of the UI

 

How would the above look using Maplet instead of Explore?
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