Stability and Bifurcation Analysis of Non-linear Ginzburg-Taneyhill Population Model with Minimal Maternal Quality

In this paper, we investigate the stability and Neimark-Sacker bifurcation of Ginzburg-Taneyhill model under the assumption of minimal maternal quality. The analysis begins with an examination of the existence and classification of equilibrium points, followed by a detailed study of their local stability. We show that the system undergoes a Neimark-Sacker bifurcation under certain parameter conditions, leading to the emergence of an invariant closed curve. Numerical simulations are presented to illustrate and confirm the theoretical results.