Prey-Predators systems Resize


Simplifications

In the construction of a model that represents mathematically a real situation several simplifications are necessary, where some variables and conditions of the system that is being modeled that are considered less important for the problem in question are ignored. The objective is to make possible to study it and to draw relevant conclusions.

In the case of the Lotka - Volterra model we emphasise that we supposed that:

- Sharks are the only predators of pouts;

that is why when pouts are not in contact with sharks, their number increases.

- Pouts are the only food of sharks;

that is why, when sharks do not have encounters with the pouts, their number decreases.

- The food of pouts is always available;

that is why, in the absence of sharks, the number of pouts increases indefinitely.

- Births and natural deaths occur at a constant rate.

In addition, the model ignores other factors such as:

- competition within the species, for food or space;
- migration,

that is, increases in species are only because of births and decreases are only because of deaths;

- human action,

since now we are not considering the influence of fishing.