Predator-Prey Game with Lotka-Volterra Model

Our game theory research involves the interaction between any two species. This project focused on biological mathematics to analyzing predation relationships, especially the relationship between the Lynx and the Hare. This relationships can be properly useful in the biology field. We use Lotka-Volterra model to easily understand the strategies between any two species existence in the environment. For this work, we have discussed the predator-prey game with two players (one predator and another prey) and three strategies. We have collect 20 years data for hare and lynx population, at a fixed time we solve the numerically by using Matlab for changing or fluctuation of hare and lynx population per year. This analysis presents the predator-prey game with Lotka-Volterra model for the dynamics of the populations of a predator and prey species by a system of non-linear differential equations of first order. Lotka-Volterra model appear to be the appropriate level of numerical analysis and possible connection between any two species.

• Supervision