Dynamical Systems Seminar
主講者: Professor Samares Pal (University of Kalyani, India)
講題: Catastrophic regime shifts in coral reefs under invasion and overfishing
時間: 2014-05-19 (Mon.)  15:30 - 16:30
地點: 數學所 714 研討室 (台大院區)
Abstract: Macroalgae and corals compete for the available algal turf in coral reef ecosystem. While herbivorous reef-fishes play a beneficial role in decreasing the growth of macroalgae, in presence of invasive lionfish (Pteroisvolitans), there is a reduction in herbivory, leading to proliferation of macroalgae in coral reef ecosystem. Abundance of macroalgae changes the community structure from coral-dominated to macroalgae-dominated reef ecosystem. We investigate coral-macroalgal phase shift due to the effects of invasion by means of a continuous time model in a food chain. Conditions for local asymptotic stability of steady states are derived. Computer simulations have been carried out to illustrate different analytical results.
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