Numerical solution to the differential equation system of Lotka-Volterra by using Heun method.

The differential equations system in the field of mathematical studies is one of the discussions that can be applied in solving various problems in everyday life. One of the applications is in biological science, especially in the field of ecology, namely in solving the Lotka-Volterra model problem or predator-prey interaction in the case of the Red jungle fowl (x) population as prey and the Common palm civet (y) population as predators. The solution of the differential equations system of the Lotka-Volterra model can use a one-step numerical method, namely the Heun method. This research used two cases of variations in parameter values on the Lotka-Volterra model to be calculated for the third hundred and sixty-fifth days using the Heun method. The first model is when the prey birth rate is higher than the predator's mortality rate or parameters a > c and obtains results x (365) = 0.39981 and y (365) = 43.92987. The second model is when the prey birth rate is lower than the predator's mortality rate or parameters a<c and obtains results x (365) = 15.83929 and y (365) = 8.78587. The numerical results obtained from both cases of variations in the value of such parameters are a description of the possible conditions of interaction between two species. [ABSTRACT FROM AUTHOR]