Incorporating environmental stochasticity within a biological population model.
The birth and death transition rates for a population are modelled as functions of both the population size and the environmental condition. An assortment of important theoretical results and techniques that can be utilized to analyze such a population's behaviour is covered. Consequently, these results and techniques are used to study two examples. Firstly, we study a population with a stable equilibrium state, whose per capita birth and death rates are linearly related to the environmental condition. (The environmental condition in turn is modelled as an Ornstein-Uhlenbeck process.) Secondly, we study a population affected by two interdependent environmental factors.
School of Statistics and Actuarial Science, University of the Witwatersrand, South Africa. Melvin.Varughese@uct.ac.za
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D001723:Birth Rate; D004463:Ecology; D004777:Environment; D008954:Models, Biological; D015233:Models, Statistical; D009026:Mortality; D011157:Population Dynamics; D013269:Stochastic Processes