Inicio > Matemáticas y ciencia > Biologia, ciencias de la vida > Ciencias de la vida: cuestiones generales > Ecología, la biosfera > Differential Equations and Population Dynamics II
Differential Equations and Population Dynamics II

Differential Equations and Population Dynamics II

Arnaud Ducrot / Quentin Griette / Zhihua Liu

99,59 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2026
Materia
Ecología, la biosfera
ISBN:
9783031914119
99,59 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Kálamo Books
  • Librería Elías (Asturias)
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)
Sobre IBD

This book is the second volume in a two-part series on the theory of ordinary differential equations and their applications to population dynamics.  While the first volume provides an introduction to the topic, this second volume presents advanced mathematical tools for analyzing such problems.  Part I focuses on refined techniques for describing the long-term behavior of these systems. It includes a detailed discussion of dissipative dynamical systems, omega and alpha limit sets, global attractors, bifurcations, the construction of smooth center manifolds, and normal form theory.  Part II introduces new perspectives on predator-prey systems by applying theoretical results to derive oscillating solutions through Hopf bifurcation, traveling invasion waves using global attractor theory, and a description of long-term dynamics in competitive interactions between predator variants.  Throughout the book, concepts are illustrated with numerical examples, and MATLAB codes are provided.  Bridging an interdisciplinary gap, this book will be valuable to graduate students and researchers studying mathematical models in population dynamics.

Artículos relacionados

  • Water from a Transdisciplinary Perspective
    Ana Isabel Pereira Cardoso / Teresinha M. Gonçalves
    Life in cities has distanced human beings from nature and made it difficult to understand the ecology of life dependent on the environment. Urban water collection and distribution processes contribute significantly to the fragmentation of knowledge and the vital recognition of the water cycle. Without the effective participation of the subject in environmental actions, it is no...
    Disponible

    43,82 €

  • Modeling Populations of Adaptive Individuals
    Bret C. Harvey / Steven F. Railsback
    Ecologists now recognize that the dynamics of populations, communities, and ecosystems are strongly affected by adaptive individual behaviors. Yet until now, we have lacked effective and flexible methods for modeling such dynamics. Traditional ecological models become impractical with the inclusion of behavior, and the optimization approaches of behavioral ecology cannot be use...
    Disponible

    64,30 €

  • Scaling in Ecology with a Model System
    Aaron Ellison / Aaron M. Ellison / Nicholas J. Gotelli
    A groundbreaking approach to scale and scaling in ecological theory and practiceScale is one of the most important concepts in ecology, yet researchers often find it difficult to find ecological systems that lend themselves to its study. Scaling in Ecology with a Model System synthesizes nearly three decades of research on the ecology of Sarracenia purpurea-the northern pitcher...
  • Population Ecology
    Deborah E. Goldberg / John H. Vandermeer
    The essential introduction to population ecology-now expanded and fully updatedEcology is capturing the popular imagination like never before, with issues such as climate change, species extinctions, and habitat destruction becoming ever more prominent. At the same time, the science of ecology has advanced dramatically, growing in mathematical and theoretical sophistication. He...
    Disponible

    117,24 €

  • Physiological Ecology
    Carlos Martínez del Rio / William H. Karasov
    Unlocking the puzzle of how animals behave and how they interact with their environments is impossible without understanding the physiological processes that determine their use of food resources. But long overdue is a user-friendly introduction to the subject that systematically bridges the gap between physiology and ecology. Ecologists--for whom such knowledge can help clarif...
  • Critical Transitions in Nature and Society
    Marten Scheffer
    How do we explain the remarkably abrupt changes that sometimes occur in nature and society--and can we predict why and when they happen? This book offers a comprehensive introduction to critical transitions in complex systems--the radical changes that happen at tipping points when thresholds are passed. Marten Scheffer accessibly describes the dynamical systems theory behind cr...
    Disponible

    87,92 €

Otros libros del autor

  • Differential Equations and Population Dynamics I
    Arnaud Ducrot / Quentin Griette / Zhihua Liu
    This book presents the basic theoretical concepts of dynamical systems with applications in population dynamics. Existence, uniqueness and stability of solutions, global attractors, bifurcations, center manifold and normal form theories are discussed with cutting-edge applications, including a Holling’s predator-prey model with handling and searching predators and projecting th...
    Disponible

    69,26 €

  • Differential Equations and Population Dynamics I
    Arnaud Ducrot / Quentin Griette / Zhihua Liu
    This book presents the basic theoretical concepts of dynamical systems with applications in population dynamics. Existence, uniqueness and stability of solutions, global attractors, bifurcations, center manifold and normal form theories are discussed with cutting-edge applications, including a Holling’s predator-prey model with handling and searching predators and projecting th...
    Disponible

    46,95 €