{'fraction_non_alphanumeric': 0.032119914346895075, 'fraction_numerical': 0.006423982869379015, 'mean_word_length': 4.85, '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}}
Optimization problem of a predator-prey system with Holling II functional response

This paper deals with an optimal control problem of a predator-prey system with Holling II functional response. The model under consideration incorporates a refuge protecting (1 − u)x of the prey and leaves ux of the prey available to the predator, where u ∈ [0, 1]. By utilizing Pontryagin's maximal principle, we study the optimal control problem regarding u as a control function.