报告题目：Effects of Predator Harvesting and Environmental Noises on Coral Reef

报告时间：2023-07-02  15:30 - 17:30

报 告 人：范  猛教授  东北师范大学

报告地点：信息与计算科学系办公室

Abstract: Coral reefs are important for the preservation of an oceanic ecosystem. However, they have been experiencing severe destruction by environmental changes and human activities. In this paper, a tri-trophic food chain model consisting of coral, Crown-of-thorns starfish (CoTS), and triton is established in deterministic and stochastic environments to explore the effects of harvesting in the deterministic system and environmental noises in the stochastic system, respectively. The existence of possible steady states along with their stability is rigorously discussed. From the economic perspective, the existence of the bionomic equilibrium and the optimal harvesting policy are established. The long-time behaviors of the stochastic system are well explored. Numerical simulations are provided to validate and complement the theoretical results. The main findings reveal that over-harvesting of triton is not beneficial to coral reefs and modest harvesting of CoTS may promote sustainable growth of coral reef.