Pattern Dynamics of Marine Plankton Behavior : Nonlinear Dynamics Applications / by Shu Tang Liu, Li Zhang.

Format:

Book

Author/Creator:

Liu, Shu Tang.

Contributor:

Zhang, Li.

Series:

Mathematics and Statistics Series

Language:

English

Subjects (All):

Freshwater ecology.

Marine ecology.

Biomathematics.

Freshwater and Marine Ecology.

Mathematical and Computational Biology.

Local Subjects:

Freshwater and Marine Ecology.

Mathematical and Computational Biology.

Physical Description:

1 online resource (405 pages)

Edition:

1st ed. 2024.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2024.

Summary:

To 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.

Contents:

Preface

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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

9789819753697

9819753694

OCLC:

1467832535