Analysis and Modeling of Predator-Prey Dynamics for Ecological Sustainability

This study examines the population dynamics of two interacting species: small fish (prey) and large fish (predators). Numerical methods are utilized to analyze temporal variations in population sizes, with a comparative assessment of different numerical approaches in terms of accuracy and computational efficiency. Furthermore, the study seeks to determine the maximum allowable fishing coefficient that prevents the extinction of both species, thereby ensuring ecological sustainability. The application of neural network models enhances the precision of ecological sustainability assessments, while heat-map analysis provides insights into the impact of defense factors and fishing pressures on ecosystem stability.