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【演講】張瑞珍教授-Dynamics of systems

【演講】

演講題目 : Dynamics of systems of two phytoplankton and one zooplankton populations with toxin producing phytoplankton

演講者:張瑞珍教授(美國德州理工大學)

時間:108年12月26日 (星期四) 16:00-16:50

地點:靜安325

演講摘要:

Three-compartment mathematical models of non-toxic phytoplankton (NTP), toxin producing phytoplankton (TPP), and zooplankton are proposed to explore the role of TPP in algal blooms. The mutual interference between predator zooplankton and avoidance of TPP by zooplankton are incorporated into the model. The NTP and TPP engage in exploit competition and the toxin produced by TPP has no effect on NTP. Using the concept of uniform persistence, we establish coexistence of NTP, TPP, and zooplankton in certain parameter regimes. We study the effects of mutual interference and avoidance by zooplankton upon the population interactions. In addition to the toxin producing mechanism, it is concluded that mutual interference of zooplankton is an important factor for diminishing harmful blooms.

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