Probabilistic Population Modeling with Interactions between Species

The probabilistic population model with interactions between species will be developed. We use predator-prey interaction to come up with a system of probabilistic differential equations. By accepting a series of assumptions that may govern the environment, one can reach a variety of different models. In a special case we develop a system with predator’s rate of change instead of the natural birth and death processes. The mean probability of the population as a mathematical expectation is computed as a solution of the system using random parameters.