DYNAMICS OF LOTKA-VOLTERRA PREDATOR-PREY MODEL CONSIDERING SATURATED REFUGE FOR PREY

摘要

A deterministic continuous-time predator-prey model is analysed, which is obtained modifying the well-known Lotka-Volterra predator-prey model with prey self-limitation, where the use of refuge by a fraction of prey population is considered. In earlier works it has been claimed that the prey refuge use exerts a stabilizing effect in the dynamics of the interacting populations. In this work, assuming that the quantity of prey in refugia is expressed by a new saturated function such as a Holling type II functional response, we show that the above statement is true.