Population Growth Models
Compare exponential and logistic population growth models to understand how populations change over time. Visualize the J-shaped curve of exponential growth (unlimited resources) versus the S-shaped curve of logistic growth (limited by carrying capacity). Explore how density-dependent and density-independent factors regulate population size, and calculate growth rates using the equations dN/dt = rN and dN/dt = rN(K-N)/K.
Lotka-Volterra Predator-Prey Dynamics
Mathematical ecology simulator charting the cyclic phase space between predators and prey. Manipulate birth/death rates to find stable orbits or extinction events.
Bohr Shift & Hemoglobin Oxygen Dissociation
Chart the sigmoidal oxygen binding curve of hemoglobin. Discover how lower pH, higher $CO_2$, and elevated temperatures cause a Right Shift in active muscle tissues.