Mathematical Modeling Of Aspect Of Crocodile Ranching With Numerical Analysis Approach

Abstract

Crocodiles are aquatic reptile which includes 23 species in the world. This thesis investigated the growth patterns of crocodiles in Arba Minch Crocodile Ranch, employing three renowned growth models: Von Bertalanffy, Logistic and Von Bertalanffy-Putter. The study aims to identify the best fit model by comparing their performance using the least square method in python. The Bertalanffy Putter model was further modified to include linear terms, enhancing its adaptability to the crocodile growth data. The performance of each model was evaluated by calculating the sum of squared differences.The results indicate that the modified Bertalanffy model provided the most accurate representation of the growth of Nile crocodiles. This model accurately captures the growth patterns. To further validate the models, they were applied to a separate data set from the literature with long term growth data. With some simulations we have seen that increasing the amount of food than usual decreases the amount of time to reach the desired length to slaughter the crocodiles.