Stability for Density-Dependent Predator-Prey System

Centered on the density-dependent predator-prey model, this book integrates various qualitative theories, including Lyapunov functions, extension theorems, Brouwer's fixed-point theorem, and central manifold theorem within the context of differential equations. Adopting a unified viewpoint and employing modern tools, it systematically explores the stability aspects of diverse density-dependent predator-prey models, thereby validating numerical simulations for a significant array of conclusions.