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Lotka-Volterra Population Step Calculator — result sheet
Calculate one simplified predator-prey population step from supplied interaction parameters.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: dPrey=(growth×prey−predation×prey×predator)×step; dPredator=(conversion×prey×predator−loss×predator)×step.
The coupled changes and next populations are returned for one explicit Euler step.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Current prey population — minimum 0; maximum 1000000000
- Current predator population — minimum 0; maximum 1000000000
- Prey growth rate — minimum -10; maximum 10
- Predation interaction rate — minimum 0; maximum 10
- Predator loss rate — minimum -10; maximum 10
- Predator conversion rate — minimum 0; maximum 10
- Time step — minimum 1.0E-6; maximum 100
Worked example
| Input | Value |
|---|---|
| Current prey population | 500 |
| Current predator population | 50 |
| Prey growth rate | 0.1 |
| Predation interaction rate | 0.0002 |
| Predator loss rate | 0.05 |
| Predator conversion rate | 0.0001 |
| Time step | 1 |
Next prey =540; next predators =47.5.
Assumptions and limits
- Populations and time step are nonnegative; rates are supplied for one model context.
- The Lotka-Volterra equations and one Euler step are used as a teaching model.
- Age structure, carrying capacity, migration, stochasticity, parameter fitting, and management decisions are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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