Dian Savitri, Abadi, Sunu Kuntjoro, Mifta Kharisma Dewi, An Nisa Salsabila
This article investigates the stability of an age structure predator-prey model with parental care for prey. Firstly, we investigate the local stability of the model around the equilibria point. There is one equilibrium condition that is always unstable, and the other equilibrium points are stable with certain conditions that have been proven. Secondly, we choose one of the parameters to investigate several dynamical behaviors. Finally, we observe numerically a point of bifurcation as the value of the saturation maximum parameter (k) is varied, which indicates that the change remains stable and becomes unstable at the interior equilibria point. Initially, when k is small, all the populations will be balanced, and the coexisting equilibria point will be stable. We observed Hopf bifurcation and the emergence of the bubbling effect phenomenon vanishing of oscillatory behavior through two Hopf bifurcation points at k = 11.93192 and k = 72.924663. © 2025 Author(s).
Mathematics Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia; Biology Study Program, Universitas Negeri Surabaya, Surabaya, Indonesia
