weak Allee effects stochastic differential equations random environments extinction times
International Statistical Institute
Braumann, C. A., Carlos, C. (2015). Weak Allee effects population growth models in a random environment. Proceedings of the 60th ISI World Statistics Congress, p. 2455-2460.
Based on a deterministic model of population growth with weak Allee e ffects, we propose a general stochastic model that incorporates environmental random fluctuations in the growth process. We study the model properties, existence and uniqueness of solution, the stationary behavior and mean and variance of the time to extinction of the population. We then consider as an example the particular case of a stochastic model with Allee e ffects based on the classic logistic model.