Bifurcation analysis of the predator-prey model with the Allee effect in the predator.

ABSTRACT: The use of predator-prey models in theoretical ecology has a long history, and the model equations have largely evolved since the original Lotka-Volterra system towards more realistic descriptions of the processes of predation, reproduction and mortality. One important aspect is the recognition of the fact that the growth of a population can be subject to an Allee effect, where the per capita growth rate increases with the population density. Including an Allee effect has been shown to fundamentally change predator-prey dynamics and strongly impact species persistence, but previous studies mostly focused on scenarios of an Allee effect in the prey population. Here we explore a predator-prey model with an ecologically important case of the Allee effect in the predator population where it oc

SUBMITTER: Sen D 

PROVIDER: S-EPMC8718388 | biostudies-literature | 2021 Dec

REPOSITORIES: biostudies-literature