An Improved Mathematical Predator - Prey Model

The Lotka-Volterra equations were developed to describe the dynamics of biological systems, one specie is the prey and the other predator. Being a system of first order non-linear differential equations, the solution to this model has periodic meaning that the cycle will continue ad infinitum with the rise and fall of both populations. This research provided a further numerical solution of the Lotka-Volterra predation model, by applying the mathematical Eigen-value and vector method to simplify the understudy model into linear equations. Results of the provided numerical solutions are presented to show the operational behaviour of the model, and by comparison were favourable with other existing models. While prey-predator activities are arguably building blocks of the bio and ecosystems, species contend, evolve and disperse merely for the aim of seeking resources to sustain their struggle for survival. An ecological surveillance simulation that follows the model is implemented using Java to show visual interactions between predators and preys.