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Feb 22nd, 2018
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  1. ClearAll;
  2. Eq1 = x'[t] == s*(y[t] - x[t]);
  3. Eq2 = y'[t] == r*x[t] - y[t] - x[t]*(x[t]*y[t]/b);
  4. Manipulate[
  5. StreamPlot[{s*(y - x),
  6. r*x - y - x*(x*y/b)}, {x, -Sqrt[b*(r - 1)] - 1,
  7. Sqrt[b*(r - 1)] + 1}, {y, -Sqrt[b*(r - 1)] - 1,
  8. Sqrt[b*(r - 1)] + 1}, StreamColorFunction -> "Rainbow"],
  9. Delimiter,
  10. {{T, 50}, 0.1, 100},
  11. {{r, 1}, 1, 35},
  12. {{s, 10}, 0, 100},
  13. {{b, 8/3}, 0, 100},
  14. SaveDefinitions -> True]
  15.  
  16. Plot3D[x*y*(3/8) == 0, {x, -10, 10}, {y, -10, 10}]
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