{'fraction_non_alphanumeric': 0.018329938900203666, 'fraction_numerical': 0.0, 'mean_word_length': 5.56, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Models of population dynamics (abstract only)

This project explains the mathematical equations used to approximate species populations. The equations used are the exponential growth rate, logistic growth rate, and the predator-prey systems. The purpose is to show how the equations are taken from simple mathematical principles and assumptions. Basic techniques in Calculus and Linear Algebra are used to analyze the quantitative properties of solutions to the differential equation models.