title: On a conjecture concerning population growth in random environment.
abstract: Discrete stochastic models are constructed and their limit diffusion processes are derived to shed light on a controversial conjecture regarding the effects of environmental variance on the asymptotic behavior of a population subject to logistic growth in random environment.
mesh_terms: D004777:Environment; D008433:Mathematics; D008954:Models, Biological; D011158:Population Growth; D013269:Stochastic Processes