Approaches to Mathematical Modeling of Biological Invasions

Erscheinungsjahr 2020
ISBN: 978-3-8325-5151-3
Verlag: Logos

Buch, Englisch, 246 Seiten, PB, Format (B × H): 170 mm x 240 mm

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

Subjects range from theoretical to applied models on fascinating case studies, including:
begin{itemize
item investigating how phenomena such as inducible defense or group defense can be incorporated into mathematical models,
item investigating how selective infections can influence the dispersal of invasive species,
item investigating how invasive mammals in New Zealand can be controlled to rescue the national bird, the Kiwi.
end{itemize

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

Autoren/Hrsg.

Köhnke, Merlin C.

Köhnke, Merlin Christopher

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Forschungsmethodik, Wissenschaftliche Ausstattung
• Naturwissenschaften Biowissenschaften Biowissenschaften Ökologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Nichtlineare Wissenschaft
• Geowissenschaften Umweltwissenschaften Biodiversität
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Mathematische Modellierung

Über Autor(innen)

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.