When the resources remain unlimited, the exponential growth of prey occurs if the prey consumption term (a Npredator Nprey) is removed from the Lotka-Volterra prey equation.
Exponential growth is the one that keeps increasing along with the time. In ecology, such growth can occur only in two conditions: when the resources are unlimited and when there are no other competitors to fight over for the same resource.
Lotka-Volterra model describes the relation between prey and predator mathematically. It describes the non-differential equation. The model is based on a few assumptions. These are: 1) prey grows exponentially when the predator is absent; 2) predators starve in the absence of the prey population; 3) predators can consume infinite quantities of prey.
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