What type of growth curve is typically seen if no predator for a population of animals?

An exponential growth curve is typically seen if there is no predator for a population of animals or if the predator's population decreases. Without any, or many, predators to keep the species' population in check, the population may grow rapidly. An example is the Burmese python in Florida. Since it's an invasive species instead of native to the area, the Burmese python has no natural predators there and has experienced a surge in population.