Analysis Scripts and Supplementary Materials for "Study on Fear-Induced Group Defense and Cooperative Hunting: Bifurcation, Uncertainty, Seasonality, and Spatio-temporal Analysis in Predator-Prey System"

This repository contains all analysis scripts and supplementary materials used in the study “Study on Fear-Induced Group Defense and Cooperative Hunting: Bifurcation, Uncertainty, Seasonality, and Spatio-temporal Analysis in Predator–Prey System.” The files include all bifurcation analysis (theorem and proof), positivity and boundedness calculations of the manuscript. No empirical dataset was produced; the study is based entirely on analytical and computational methods.