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I'm relatively new to Mathematica and I've tried searching and reading through the Mathematica documentation but I'm not able to find a good place to start.

I want to model a simple, second-order negative feedback loop between two parties. I would like a) to have a visual animation of the system (this can be crude) and b) for there to be a plot of the amount of each party there is over time (this should obviously be some sort of periodic function depending on the parameters of the system).

Finally, I want to be able to see the change in behavior as a function of the delay in response of party A from party B. If the delay is long it should take a long while for equilibrium to occur after a shock.

A lot of the specific functionality I've mentioned is something I'm willing to try and figure out later, I just want a good place to start learning how to model such a system.


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closed as too broad by m_goldberg, MarcoB, C. E., halirutan, Sjoerd C. de Vries Sep 30 '15 at 6:44

There are either too many possible answers, or good answers would be too long for this format. Please add details to narrow the answer set or to isolate an issue that can be answered in a few paragraphs.If this question can be reworded to fit the rules in the help center, please edit the question.

you can start by looking through the Wolfram Demonstrations to see if there's something similar. It should give you a decent starting point. – R. M. Oct 2 '12 at 17:24
Welcome to our site, Ashok! – whuber Oct 2 '12 at 18:03
Thanks :) Hope to participate. I'm going through, the demonstrations, thanks. – Ashok M Rao Oct 2 '12 at 18:15
I'm wondering if System Modeler is more in line with what you're looking for. You can control System Modeler from Mathematica if necessary. – amr Oct 3 '12 at 0:26
@AshokMRao Could you give me the two defining DEs for some sample? Then I'll see what I can do. – VF1 Oct 7 '12 at 2:47