MATHEMATICAL DYNAMICS OF THE INTERACTION OF 2-3 PREY-PREDATOR NON-DIFFUSIVE ECOLOGICAL SYSTEM

A diagram illustrating the relationship between three (3) competing predators who also compete amongst themselves and two independent prey is shown to see the nature of interdependence among the species. To this end, it is considered that the free population (without interaction) is the solution to the logistic equation of individual specie. A semi-analytical approach is developed for solving the dynamics of a 2-3 prey-predator system in a non-diffusive state and a diffusive state. The resultant solution is then analyzed to see the impact of predation on the population of both the Prey and Predators. It was observed that the growth rate in the population of the prey is inversely proportional to the growth rate of the population of the predators. The equilibrium state of the system is also examined.