04571nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001500172050001500187072001700202072002300219072001600242100008300258245013700341250001800478264007200496300006700568336002600635337002600661338003600687347002400723505093800747520188701685650003103572650002703603650002703630650004203657650005103699700007903750710003403829773002603863776003603889776003603925776003603961856004603997912001404043912001504057999001704072978-981-97-5369-7DE-He21320251030113301.0cr nn 008mamaa241107s2024 si | s |||| 0|eng d a97898197536979978-981-97-5369-77 a10.1007/978-981-97-5369-72doi 4aQH541.5.F7 4aQH541.5.S3 7aPSAF2bicssc 7aSCI0200002bisacsh 7aPSAF2thema1 aLiu, Shu Tang.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut98714810aPattern Dynamics of Marine Plankton Behaviorh[electronic resource] :bNonlinear Dynamics Applications /cby Shu Tang Liu, Li Zhang. a1st ed. 2024. 1aSingapore :bSpringer Nature Singapore :bImprint: Springer,c2024. aXIV, 406 p. 139 illus., 137 illus. in color.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aPreface -- Chapter 1 Introduction -- Chapter 2 Preliminaries -- Chapter 3 The effect of stochastic marine environment -- Chapter 4 The effect of marine environmental mutation -- Chapter 5 The effect of time delay -- Chapter 6 The effect of water temperature -- Chapter 7 The effect of plankton cell size -- Chapter 8 The effect of defensive and aggressive behavior -- Chapter 9 The effect of schooling behavior and harvest -- Chapter 10 The effect of toxin and cross-diffusion -- Chapter 11 The effect of advection -- Chapter 12 The effect of herd-taxis -- Chapter 13 The effect of weakly nonlinear diffusion -- Chapter 14 Temporal forcing induced pattern transitions -- Chapter 15 Spatiotemporal dynamics near the Turing-Hopf bifurcation -- Chapter 16 Fractional herd behavior with cross-diffusion -- Chapter 17 Spatial fractional behavior with fear factor and refuge -- Chapter 18 Spatial dynamics with time delay and Allee effect. aTo ultimately address this serious issue, this book begins with the nonlinear dynamic characteristics of marine plankton, focusing on the dynamic behavior of both two-dimensional and spatiotemporal patterns. As a critical foundation of marine ecosystems, the frequent outbreaks of marine phytoplankton and the toxicity of planktonic animals pose significant threats to marine ecological security and human health. One of the primary reasons we currently struggle to effectively manage the safety issues surrounding marine plankton is the extremely complex nature of their growth environment, which exhibits intricate dynamic and nonlinear characteristics. By constructing reaction-diffusion models and fractional diffusion systems of the planktonic ecosystem, the book characterizes the various factors in different environments and studies the nonlinear behavior of marine organisms. Employing linear stability theory, multi-scale analysis, comparison principle, analytical techniques, and the construction of Lyapunov functions, the book delves into the following topic: the stability of the plankton ecosystem, Hopf bifurcation, Turing bifurcation and other local bifurcations, spatial self-organization behavior of marine plankton, the formation of spatiotemporal patterns, and the persistence and extinction properties and characteristics. Marine ecology and the marine environment are currently hot research topics internationally, with the behavior of marine organisms being a core area of this research. The goal of exploring these issues is to scientifically understand the features of marine organisms, control their behavior, manage ocean pollution effectively, contribute to human development, and support social advancement. Additionally, the authors aime to make academic contributions and provide guidance to graduate students and researchers dedicated to this field. 0aFreshwater ecology.964630 0aMarine ecology.971464 0aBiomathematics.97032514aFreshwater and Marine Ecology.97146524aMathematical and Computational Biology.9703271 aZhang, Li.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut9712942 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978981975368008iPrinted edition:z978981975370308iPrinted edition:z978981975371040uhttps://doi.org/10.1007/978-981-97-5369-7 aZDB-2-SMA aZDB-2-SXMS c64776d64776