Predicting Extinction of Biological Systems with Competition
Branko Ristic; Alex Skvortsov Defence Science and Technology Organisation, Melbourne, VIC, Australia
Abstract
Consider a dynamic population system in which the species are competing for finite resources. Due to demographic stochasticity, the system is inevitably forced to extinction, regardless of the initial count of species. Extinction is the event when either all resources are exhausted or all the competing species disappear. By collecting noisy and sporadic measurements of the quantity of available resources over a certain period of time, we can predict theoretically the probability density function of extinction time. This problem is cast in the framework of a ...
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