Allee effects in a discrete-time host-parasitoid model. (English) Zbl 1088.92058
Summary: A discrete-time Beverton-Holt stock recruitment model with Allee effects is proposed and studied. Its asymptotic dynamics are then used to investigate a host-parasitoid model with Allee effects occurring in the host population. There exists a population threshold which initial host population abundance must exceed so that the host population may persist. Both populations are more likely to become extinct when Allee effects are incorporated into this host-parasitoid interaction.
MSC:
| 92D40 | Ecology |
| 39A11 | Stability of difference equations (MSC2000) |
| 37N25 | Dynamical systems in biology |
| 39A10 | Additive difference equations |
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