Continuous Solow Swan combined with continuous Romer endogenous growth model

romer-solow.js

const l = 0.05, z = 0.0001, d = 0.07, s = 0.15;
const L = 10000, a = 2/3;
const Ly = ((1-l) *L), La = (l * L);
const A0 = 100, K0 = 1000;

const A = (t: number) => A0 * Math.exp(z * La * t);

const K = (t: number) => {
  const g = z * La;
  const exDt = Math.exp(-a * d * t)
  const k0e = (K0**a) * exDt;
  const frac = (a*s*A0*(Ly**a))/((z * La) + (a * d));
  const exp = Math.exp(z * La * t) - exDt;
  return (k0e + (frac * exp)) ** (1/a);
}

const Y = (t: number) => {
  return A(t) * (K(t) ** (1-a)) * (Ly ** a);
}

for (let i of [2, 5, 10, 17, 18, 100]) {
  const tech = A(i).toFixed()
  const kapt = K(i).toFixed();
  const outp = Y(i).toFixed();
  console.log(`\nt = ${i} A = ${tech} K = ${kapt} Y = ${outp}`);
}