Approaches to Mathematical Modeling of Biological Invasions

Exzellenzinitiative 2020

Merlin C. Köhnke

ISBN 978-3-8325-5151-3
246 Seiten, Erscheinungsjahr: 2020
Preis: 67.00 €
Approaches to Mathematical Modeling of Biological Invasions
With potentially dangerous biological invasions increasing due to rises in international trade and travel, research in invasion biology becomes increasingly relevant.

Mathematical models form an integral part of this research. This book presents:

  • research on mathematical modeling of biological invasions,
  • different forms of differential equations such as ordinary differential equations, reaction-diffusion models, and stochastic differential equations,
  • detailed investigations as well as a thorough introduction to dynamical systems.

Subjects range from theoretical to applied models on fascinating case studies, including:

  • investigating how phenomena such as inducible defense or group defense can be incorporated into mathematical models,
  • investigating how selective infections can influence the dispersal of invasive species
  • investigating how invasive mammals in New Zealand can be controlled to rescue the national bird, the Kiwi.

The book is well suited not only for accomplished researchers but also for students with limited quantitative background interested in studying biological invasions.

Merlin C. Köhnke studied Environmental Sciences and Environmental Systems and Resources Management at the University of Greifswald and Osnabrück University, where he graduated with distinction in 2017. After graduation, he continued his academic career at Osnabrück University and started a Ph.D. at the School of Mathematics/Computer Science.
After several research visits, including extended stays abroad at the University of Canterbury, Christchurch, New Zealand and Tohoku University, Sendai, Japan, he completed his doctoral studies in 2020 - also with distinction. His research is on mathematical biology, ranging from self-organized patterns in nature to modeling of biological invasions and infectious diseases.

Inhaltsverzeichnis (PDF)


  • Dynamical Systems
  • Mathematical Biology
  • Biological Invasions
  • Modeling
  • Population Dynamics


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