🐝 Honeybee Colony Season Lab: Brood-Nest Heat Balance, Nectar Flow, Supering and Winter Stores

Keep one honeybee colony in a cutaway 3D Langstroth hive from March to March. Worker and brood populations follow ODEs driven by day length, temperature and nectar flow, the brood nest is held near 35 C by a heat balance, and you decide when to add supers, when to harvest ripe honey and whether the stores last the winter. Checks: RK4 against logistic growth, heat-balance steady state, winter stores and a closed honey ledger.