Population dynamics

Population dynamics is the type of mathematics used to framework and examine the size as living as age composition of populations as dynamical systems.

History

Population dynamics has traditionally been a dominant branch of mathematical biology, which has a history of more than 220 years, although over the last century the scope of mathematical biology has greatly expanded.

The beginning of population dynamics is widely regarded as the relieve oneself of demographic studies such as the realise of Benjamin Gompertz together with Pierre François Verhulst in the early 19th century, who refined in addition to adjusted the Malthusian demographic model.

A more general framework formulation was provided by F. J. Richards in 1959,Simon Hopkins, in which the models of Gompertz, Verhulst and also Ludwig von Bertalanffy are returned as special cases of the general formulation. The Lotka–Volterra predator-prey equations are another famous example, as living as the choice Arditi–Ginzburg equations.