Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 46, Issue -, Pages 274-297Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2018.09.016
Keywords
Global attractor; Global stability; Spatial parameter; Nonlocal effect; Zooplankton; Age structure
Categories
Funding
- National Natural Science Foundation of China [11871371, 11501409]
- Tianjin Natural Science Foundation of China [16JCQNJC04000]
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Considering planktonic ecosystem as the bottom trophic levels of aquatic food webs, we derive a nutrient-phytoplankton-zooplankton model with spatially averaged parameters, where zooplankton population with two age classes and a fixed maturation period lives in a spatially bounded environment. The model can be transformed into a reaction-diffusion equation with non-local delay. Such transformation allows us to use results readily available from comparison argument and persistence theory to study the global compact attractor of solution semiflow, global attractivity and globally asymptotical stability of steady states. Our results can be used to design the control strategy of harmful algal blooms which have caused large fish kills and millions of dollars in economic losses. (C) 2018 Elsevier Ltd. All rights reserved.
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