lotka_volterra {ARGOS}

Lotka-Volterra System

Description

Simulates the Lotka-Volterra predator-prey system with optional noise.

Usage

lotka_volterra(n, init_conditions, dt, snr = Inf)

Arguments

n

Number of time points (rounded to the nearest integer).

init_conditions

Initial conditions as a numeric vector of length 2.

dt

Time step between observations.

snr

Signal-to-noise ratio (in dB). Use Inf for no noise.

Details

This function simulates the Lotka-Volterra predator-prey system with the specified parameters. It uses the specified time step and initial conditions to compute the system's state over time. If a non-Infinite SNR is provided, Gaussian noise is added to the system.

Value

A numeric matrix representing the system's state over time. Each row corresponds to a time point, and each column represents a variable.

Examples

# Simulate a Lotka-Volterra system with 100 time points and no noise
data <- lotka_volterra(
  n = 100,
  dt = 0.01,
  init_conditions = c(2, 1),
  snr = Inf
)