Uncover the chilling future of humanity with our Vampire Apocalypse Calculator. This interactive tool uses a simplified Predator-Prey Model to simulate population changes between humans and vampires over a given time step. Predict survival rates, understand ecological balances, and prepare for the inevitable showdown. Analyze population dynamics and estimate outcomes with ease for your next story or strategy!
Formula:
The calculator employs a simplified discrete version of the Predator-Prey model to estimate population changes over a specified time step (dt).
- ΔN = (rN - kP) ⋆ dt
- ΔP = ((v ⋆ k) ⋆ P - mP) ⋆ dt
- Nnew = N + ΔN
- Pnew = P + ΔP
Where:
- N: Initial Human (Prey) Population
- P: Initial Vampire (Predator) Population
- r: Annual Human Birth Rate (e.g., 0.015 for 1.5%)
- k: Annual Humans Killed Per Vampire (e.g., 5 humans per vampire per year)
- v: Vampire Conversion Rate (Proportion of kills that become new vampires, e.g., 0.1 for 10%)
- m: Annual Vampire Mortality Rate (e.g., 0.002 for 0.2%)
- dt: Time Step in Years (e.g., 1)