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I'm trying to parametrically model a simple oscillating system representing supply based on production and consumption. The supply should graph something like a sine wave.

At any point in time, the change in supply should be equal to production minus consumption. Supply starts at 0. Both production and consumption scale relative to supply. In general, more supply means production decreases and consumption increases. For less supply it's the opposite. The intention is to get an oscillating supply from these values rather than one that's balanced.

I understand this is a very broad question, and there may be many solutions. But any information you can give me for understanding these kinds of problems (even just what topic or domain I'm in) would be much appreciated.

Lake
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  • I think the question is too broad. Possibly you want a differential equation, or possibly you are trying to solve an optimisation problem, or possibly it is some kind of linear programming or something, but I think your question is too vague at the moment for anyone to really be able to answer it. – Suzu Hirose Sep 11 '22 at 05:39

1 Answers1

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Look at Lotka-Verra equations. It assumes that the consumption rate is directly proportional to the abundance of products.

ylefay
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