Virtual Pet Hunger Decay Calculator
Virtual Pet Hunger Decay Calculator tracks pet hunger levels, decay rates, and feeding needs over time, with a visual timeline to plan care for happy, healthy pets.
Hunger Decay Formula
The calculator models hunger decay as an exponential function, with feeding events to restore hunger levels, inspired by virtual pet systems like Neopets.
Hunger Decay Model:
\\[ H_t = H_0 \cdot e^{-\lambda t} \\]Feeding Effect:
\\[ H_t’ = \min(H_t + F_i, 100) \\]Where:
- \\( H_t \\): Hunger level at time \\( t \\) (0 to 100)
- \\( H_0 \\): Initial hunger level
- \\( \lambda \\): Decay rate (points/hour)
- \\( t \\): Time (hours)
- \\( F_i \\): Hunger points restored by food item \\( i \\)
- \\( H_t’ \\): Hunger level after feeding
Example Scenarios
Example 1: Single Pet
Input: 1 pet, decay rate 5 points/hour, initial hunger 100, food: Apple (10 points)
\\[
H_{12} = 100 \cdot e^{-5 \cdot 12 / 100} \approx 54.88
\\]
\\[
H_{12}’ = \min(54.88 + 10, 100) = 64.88
\\]
Result: After 12 hours, hunger drops to ~54.88. Feeding an Apple raises it to ~64.88.
Example 2: Multiple Pets
Input: 3 pets, decay rate 10 points/hour, initial hunger 100, food: Pizza (50 points)
\\[
H_{24} = 100 \cdot e^{-10 \cdot 24 / 100} \approx 8.21
\\]
\\[
H_{24}’ = \min(8.21 + 50, 100) = 58.21
\\]
Result: After 24 hours, hunger drops to ~8.21. Feeding a Pizza raises it to ~58.21.