Chapter 12: Applications in Biology

Populations developing in time often have uncertain growth factors, be it through random variation in reproduction or environmental factors. Models for developing populations are given by diffusion processes, such as Feller branching diffusion, Wright–Fisher model, birth–death processes and branching processes. Such models generalise classical population models described by differential equations. Often, the classical models are recovered from stochastic ones in the limit, as for example, is the stochastic Lotka–Volterra model for competition of species…