This leads to a decrease in the prey’s population and as a consequence of this also to a decrease of predators population as they do not have enough food to feed the entire population.Simulation of any population involves counting members of the population and is therefore fundamentally a discrete simulation.Continuous simulations are based on a set of differential equations.
Discrete simulations may be applied to represent continuous phenomena, but the resulting simulations produce approximate results.
Continuous simulations may be applied to represent discrete phenomena, but the resulting simulations produce extraneous or impossible results for some cases.
More common are ODEs, which do not have an analytic solution.
In these cases one has to use numerical approximation procedures.
Since that time continuous simulation has been proven invaluable in military and private endeavors with complex systems.