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Dynamic Model for Life History of Scyphozoa
Congbo Xie1, Meng Fan2, Xin Wang2
1School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin, P. R. China; College of Science, Dalian Nationalities University, Dalian, Liaoning, P. R. China.
Abstract:
A two-state life history model governed by ODEs is formulated to elucidate the population dynamics of jellyfish and to illuminate the triggering mechanism of its blooms. The polyp-medusa model admits trichotomous global dynamic scenarios: extinction, polyps survival only, and both survival. The population dynamics sensitively depend on several biotic and abiotic limiting factors such as substrate, temperature, and predation. The combination of temperature increase, substrate expansion, and predator diminishment acts synergistically to create a habitat that is more favorable for jellyfishes. Reducing artificial marine constructions, aiding predator populations, and directly controlling the jellyfish population would help to manage the jellyfish blooms. The theoretical analyses and numerical experiments yield several insights into the nature underlying the model and shed some new light on the general control strategy for jellyfish.
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