Bifurcation analysis of a diffusive predator-prey system with stage structure

In this paper, we consider the dynamics of a diffusive predator-prey system with stage structure. The upper-lower solution method and the comparison principle are used in proving the nonnegativity of the solutions. Then the stability of the positive constant steady state solutions is determined by analyzing the distribution of the eigenvalues. Based on the analysis, a bifurcation set in a parameters plane is given, which shows how the dynamics change as the parameters vary. Furthermore, the potential Hopf bifurcations are explored. Finally, numerical simulations validate theoretical predictions and illustrate model dynamics. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.