The dynamics of a zooplankton–fish system in aquatic habitats

Diel vertical migration is a common movement pattern of zooplankton in marine and freshwater habitats. In this paper, we use a temporally periodic reaction–diffusion–advection system to describe the dynamics of zooplankton and fish in aquatic habitats. Zooplankton live in both the surface water and...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 53; p. 103075
Main Authors Jin, Yu, Wang, Feng-Bin
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 01.06.2020
Elsevier BV
Subjects
Advection
Aquatic habitats
Boundary conditions
Computer simulation
Deep water
Diel vertical migration
Fish
Periodic semiflow
Persistence
Plankton
Predation avoidance
Predators
Surface water
Zooplankton
zooplankton–fish system
Diel vertical migration
Persistence
Periodic semiflow
zooplankton–fish system
Predation avoidance
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Summary:Diel vertical migration is a common movement pattern of zooplankton in marine and freshwater habitats. In this paper, we use a temporally periodic reaction–diffusion–advection system to describe the dynamics of zooplankton and fish in aquatic habitats. Zooplankton live in both the surface water and the deep water, while fish only live in the surface water. Zooplankton undertake diel vertical migration to avoid predation by fish during the day and to consume sufficient food in the surface water during the night. We establish the persistence theory for both species as well as the existence of a time-periodic positive solution to investigate how zooplankton manage to maintain a balance with their predators via vertical migration. Numerical simulations discover the effects of migration strategy, advection rates, domain boundary conditions, as well as spatially varying growth rates, on persistence of the system.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2019.103075