Instantaneous Growth Rates of Prey using Lotka Volterra Equation Calculator

✖Growth Rate of Prey is the pace at which the prey grows.ⓘ Growth Rate of Prey [r]			+10% -10%
✖Number of Prey is the count of population which are prey for the predator level.ⓘ Number of Prey [N]			+10% -10%
✖Attack Rate of Predator is the rate at which predator's search and attack their prey.ⓘ Attack Rate of Predator [a^']			+10% -10%
✖Number of Predators or Consumers is the count of population that is present in the consumer level.ⓘ Number of Predators or Consumers [N_P/C]			+10% -10%

✖Instantaneous Growth rates of Prey is the rate at which the prey grows with time.ⓘ Instantaneous Growth Rates of Prey using Lotka Volterra Equation [dNdt]

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Formula

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Instantaneous Growth Rates of Prey using Lotka Volterra Equation

Formula

`"dNdt" = (("r"*"N")-("a"^{"'"}*"N"_{"P/C"}*"N"))`

Example

`"32"=(("70"*"8")-("22"*"3"*"8"))`

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Instantaneous Growth Rates of Prey using Lotka Volterra Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Instantaneous Growth Rates of Prey = ((Growth Rate of Prey*Number of Prey)-(Attack Rate of Predator*Number of Predators or Consumers*Number of Prey))
dNdt = ((r*N)-(a^'*N_P/C*N))
This formula uses 5 Variables

Variables Used

Instantaneous Growth Rates of Prey - Instantaneous Growth rates of Prey is the rate at which the prey grows with time.
Growth Rate of Prey - Growth Rate of Prey is the pace at which the prey grows.
Number of Prey - Number of Prey is the count of population which are prey for the predator level.
Attack Rate of Predator - Attack Rate of Predator is the rate at which predator's search and attack their prey.
Number of Predators or Consumers - Number of Predators or Consumers is the count of population that is present in the consumer level.

STEP 1: Convert Input(s) to Base Unit

Growth Rate of Prey: 70 --> No Conversion Required
Number of Prey: 8 --> No Conversion Required
Attack Rate of Predator: 22 --> No Conversion Required
Number of Predators or Consumers: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dNdt = ((r*N)-(a^'*N_P/C*N)) --> ((70*8)-(22*3*8))

Evaluating ... ...

dNdt = 32

STEP 3: Convert Result to Output's Unit

32 --> No Conversion Required

FINAL ANSWER

32 <-- Instantaneous Growth Rates of Prey

(Calculation completed in 00.020 seconds)

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Instantaneous Growth Rates of Predator using Lotka Volterra Equation

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Instantaneous Growth Rates of Prey using Lotka Volterra Equation Formula

Instantaneous Growth Rates of Prey = ((Growth Rate of Prey*Number of Prey)-(Attack Rate of Predator*Number of Predators or Consumers*Number of Prey))
dNdt = ((r*N)-(a^'*N_P/C*N))

What is the Importance of Predator-Prey Dynamics?

Predators and prey can influence one another's evolution. Traits that enhance a predator's ability to find and capture prey will be selected for in the predator, while traits that enhance the prey's ability to avoid being eaten will be selected for in the prey. The "goals" of these traits are not compatible, and it is the interaction of these selective pressures that influences the dynamics of the predator and prey populations. Predicting the outcome of species interactions is also of interest to biologists trying to understand how communities are structured and sustained.

How to Calculate Instantaneous Growth Rates of Prey using Lotka Volterra Equation?

Instantaneous Growth Rates of Prey using Lotka Volterra Equation calculator uses Instantaneous Growth Rates of Prey = ((Growth Rate of Prey*Number of Prey)-(Attack Rate of Predator*Number of Predators or Consumers*Number of Prey)) to calculate the Instantaneous Growth Rates of Prey, Instantaneous Growth Rates of Prey using Lotka Volterra Equation formula is defined as the dynamics of biological systems in which two species interact, one as a predator and the other as prey. The populations change through time. Instantaneous Growth Rates of Prey is denoted by dNdt symbol.

How to calculate Instantaneous Growth Rates of Prey using Lotka Volterra Equation using this online calculator? To use this online calculator for Instantaneous Growth Rates of Prey using Lotka Volterra Equation, enter Growth Rate of Prey (r), Number of Prey (N), Attack Rate of Predator (a^') & Number of Predators or Consumers (N_P/C) and hit the calculate button. Here is how the Instantaneous Growth Rates of Prey using Lotka Volterra Equation calculation can be explained with given input values -> 32 = ((70*8)-(22*3*8)).

FAQ

What is Instantaneous Growth Rates of Prey using Lotka Volterra Equation?

Instantaneous Growth Rates of Prey using Lotka Volterra Equation formula is defined as the dynamics of biological systems in which two species interact, one as a predator and the other as prey. The populations change through time and is represented as dNdt = ((r*N)-(a^'*N_P/C*N)) or Instantaneous Growth Rates of Prey = ((Growth Rate of Prey*Number of Prey)-(Attack Rate of Predator*Number of Predators or Consumers*Number of Prey)). Growth Rate of Prey is the pace at which the prey grows, Number of Prey is the count of population which are prey for the predator level, Attack Rate of Predator is the rate at which predator's search and attack their prey & Number of Predators or Consumers is the count of population that is present in the consumer level.

How to calculate Instantaneous Growth Rates of Prey using Lotka Volterra Equation?

Instantaneous Growth Rates of Prey using Lotka Volterra Equation formula is defined as the dynamics of biological systems in which two species interact, one as a predator and the other as prey. The populations change through time is calculated using Instantaneous Growth Rates of Prey = ((Growth Rate of Prey*Number of Prey)-(Attack Rate of Predator*Number of Predators or Consumers*Number of Prey)). To calculate Instantaneous Growth Rates of Prey using Lotka Volterra Equation, you need Growth Rate of Prey (r), Number of Prey (N), Attack Rate of Predator (a^') & Number of Predators or Consumers (N_P/C). With our tool, you need to enter the respective value for Growth Rate of Prey, Number of Prey, Attack Rate of Predator & Number of Predators or Consumers and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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