| Abstract: |
| Demographic and environmental stochasticity play important yet distinct roles in population dynamics, especially when species experiences component Allee effects that could lead to weak or strong Allee effects. In this article, we incorporate both demographic stochasticity in the predation rate and environmental stochasticity into a single species population model with a component Allee effects. We provide theoretical results on the sufficient conditions that lead to a unique global positive solution; a unique ergodic stationary distribution; persistence in mean; and extinction with probability one. We also perform carefully designed simulations to show how may demographic and environmental stochasticity play different roles in species survival and/or extinction when combined with weak or strong Allee effects. |
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