Analysis of a predator-prey model with Holling type II functional response and Allee effect on prey

In this work we will analyse a continuous-time determinist predator-prey model considering three important aspects: i) The functional response or predator consumption rate is a Holling type II, ii) The predator growth function is of logistic type, and iii) A logistic type growth function for predator as in Leslie-Gower models The Leslie-Gower model is characterised because the environmental carrying capacity is a function of prey size, that is, it depends on the available resources.