Hopf bifurcation analysis in a predator-prey model with square root response function with two time delays

Abstract

In this paper, we investigate the local stability and Hopf bifurcation analysis in a predator-prey model with square \u00a0root \u00a0response \u00a0function \u00a0and \u00a0two \u00a0time \u00a0delays. \u00a0By \u00a0choosing \u00a0the \u00a0two \u00a0delays \u00a0as \u00a0the \u00a0bifurcation \u00a0parameter \u00a0and \u00a0by analyzing the corresponding characteristic equations, the conditions for the stability and existence of Hopf bifurcation for the \u00a0system \u00a0are \u00a0obtained. \u00a0Finally, \u00a0the \u00a0corresponding \u00a0numerical \u00a0simulations \u00a0are \u00a0carried \u00a0out \u00a0to \u00a0support \u00a0the \u00a0theoretical analysis.