Vampire Apocalypse Calculator
Will humanity survive the night? Use the Lotka-Volterra predator-prey model to simulate the extinction timeline.
Simulation Parameters
Survival Analysis
The Science Behind the Bite
How the Vampire Apocalypse Calculator Works
This tool isn't just a fantasy game; it uses the Lotka-Volterra equations, a set of first-order non-linear differential equations used by biologists to describe the dynamics of biological systems in which two species interact, one as a predator (Vampires) and the other as prey (Humans).
The Stoker-King vs. Twilight Models
Results vary wildly based on your "Vampire Lore".
Stoker-King Model Traditional vampires (Dracula) are aggressive and highly infectious. In this model, humanity typically faces extinction within 3-6 months as the exponential growth of vampires outpaces human birth rates.
Twilight/Rice Model If vampires can "diet" (low aggression) or if the transformation rate is very low (vampires kill rather than turn), humanity stands a chance. This leads to a damped oscillation where populations stabilize.
The Vampire Slayer Factor
Without intervention, the geometric progression of vampire bites ($1 \rightarrow 2 \rightarrow 4 \rightarrow 8$) destroys civilization rapidly. Introducing Vampire Slayers acts as a control variable ($z$) in the equation. High-efficiency slayers are the only mathematical variable that prevents total human extinction in high-aggression scenarios.
Key Survival Parameters
- Feeding Rate: How often a vampire hunts. 1/day is catastrophic; 1/month allows for recovery.
- Turn Probability: Does a bite kill ($0\%$ turn) or create a new vampire ($100\%$ turn)? Lowering this buys humanity time.
- Slayer Efficiency: The rate at which hunters reduce the vampire population daily.