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Lotka Volterra One Species Rate Tool

Calculate lotka volterra one species rate from explicit caller-supplied inputs.

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Description

Return Lotka-Volterra predator and prey rates.

Biological growth and substitution models encode specific assumptions about rates, interactions and state spaces. Evaluating their formula at one supplied state can illustrate the model without fitting parameters, integrating a trajectory or establishing that its assumptions hold for real observations.

Return Lotka-Volterra predator and prey rates.

When to use this tool

Use Lotka Volterra One Species Rate when evaluating the stated biological rate or substitution-model term under its declared assumptions.

How to use the tool and how it works

  1. Enter prey, predators, preyGrowth, predation, conversion, predatorMortality. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read preyRate, predatorRate. Use the output convention below.

Return Lotka-Volterra predator and prey rates. Require all populations/parameters nonnegative; predationFlux = predation*prey*predators, preyRate = growth*prey-flux, predatorRate = conversion*flux-mortality*predators.1

Input fieldMeaning and unitsAccepted input
preyPreyRequired. Finite number; minimum 0.
predatorsPredatorsRequired. Finite number; minimum 0.
preyGrowthPrey GrowthRequired. Finite number; minimum 0.
predationPredationRequired. Finite number; minimum 0.
conversionConversionRequired. Finite number; minimum 0.
predatorMortalityPredator MortalityRequired. Finite number; minimum 0.
Output fieldInterpretationReturned shape
preyRatePrey RateRequired. Finite number.
predatorRatePredator RateRequired. Finite number.
json
{
  "input": {
    "prey": 10,
    "predators": 2,
    "preyGrowth": 1,
    "predation": 0.1,
    "conversion": 0.5,
    "predatorMortality": 0.2
  },
  "output": {
    "preyRate": 8,
    "predatorRate": 0.6
  }
}

Limitations and assumptions

  • Parameters must use compatible population/time units; this evaluates one state without integration or ecological validation.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Fit and validate an appropriate complete model against relevant data, with parameter, time-unit and numerical-error checks for biological inference.

References

  1. Calculation and input contract: computational-biology/lotka-volterra-one-species-rate — tool.io

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