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Aspects of Mathematical Modelling

Applications in Science, Medicine, Economics and Management

  • Book
  • © 2008

Overview

Editors:
  1. Roger J. Hosking

    1. Dept. Mathematics, Universiti Brunei Darussalam, Gadong, Brunei

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    You can also search for this editor in PubMed   Google Scholar

  2. Ezio Venturino

    1. Dipto. Matematica, Università di Torino, Torino, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • provides examples of modern modelling applications
  • unusual collection of contributions from less traditional fields

Part of the book series: Mathematics and Biosciences in Interaction (MBI)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-viii
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  2. Mathematical Models of Pattern Formation in Planktonic Predation-Diffusion Systems: A Review

    • Horst Malchow, Frank M. Hilker, Ivo Siekmann, Sergei V. Petrovskii, Alexander B. Medvinsky
    Pages 1-26

  3. Toward a General Theory of Ecosystem Stability: Plankton-Nutrient Interaction as a Paradigm

    • Andrei Korobeinikov, Sergei V. Petrovskii
    Pages 27-40

  4. Nutrient, Non-toxic Phytoplankton, Toxic Phytoplankton and Zooplankton Interaction in an Open Marine System

    • Nandadulal Bairagi, Samaresh Pal, Samrat Chatterjee, Joydev Chattopadhyay
    Pages 41-63

  5. Stability and Optimal Harvesting in a Stage Structure Predator-Prey Switching Strategy

    • Qamar J. A. Khan, Lakdere Benkherouf, Nejib Smaoui
    Pages 65-80

  6. Insecticidal Bt Crops Under Massive Bt-resistant Pest Invasion: Mathematical Simulation

    • Alexander B. Medvinsky, Maria M. Gonik, Yuri V. Tyutyunov, Bai-Lian Li, Alexey V. Rusakov, Horst Malchow
    Pages 81-94

  7. Reducing the Emission of Pollutants in Industrial Wastewater through the Use of Membrane Bioreactors

    • Mark I. Nelson, X. Dong Chen, Harvinder S. Sidhu
    Pages 95-107

  8. Model Hysteresis Dimer Molecule. I. Equilibrium Properties

    • Christopher G. Jesudason
    Pages 109-141

  9. Model Hysteresis Dimer Molecule. II. Deductions from Probability Profiles

    • Christopher G. Jesudason
    Pages 143-160

  10. Mathematical Modelling and Simulation of Coronary Blood Flow

    • Bernhard Quatember, Martin Mayr
    Pages 161-193

  11. Modelling Vaccine Protocols

    • Santo Motta, Pier-Luigi Lollini, Francesco Pappalardo
    Pages 195-210

  12. Modelling the Response of Intracranial Pressure to Microgravity Environments

    • William D. Lakin, Scott A. Stevens
    Pages 211-227

  13. “Noisy Oncology”: Some Caveats in using Gaussian Noise in Mathematical Models of Chemotherapy

    • Alberto d’Onofrio
    Pages 229-234

  14. Phylogenetic Analysis, Split Systems and Boolean Functions

    • Andreas Dress
    Pages 235-248

  15. Exponential Convergence Analysis of DCNNs having Unbounded Activations and Inhibitory Self-Connections

    • Sannay Mohamad
    Pages 249-267

  16. The Single-Vendor Multi-Buyer Integrated Inventory Problem: an Heuristic Solution Technique

    • Mohammad Abdul Hoque, Yong Shiaw Yin
    Pages 269-281

  17. A Term Structured Volatility Model of Poll Data and its Application to Election Timing

    • Dharma Lesmono
    Pages 283-291

  18. Estimation for the Semiparametric Transformation Model under General Censorship

    • Bungon Kumphon, Vasudevan Mangalam
    Pages 293-304

  19. Integer Programming Models of Bookmobile Routing

    • Les R. Foulds, Stein W. Wallace, John Wilson, Martin West
    Pages 305-320

  20. Instability and Sustained Oscillations in Neo-Classical Growth Models with Unemployment

    • Luciano Fanti, Piero Manfredi
    Pages 321-342
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Keywords

About this book

The construction of mathematical models is an essential scientific activity. Mathematics has long been associated with developments in the exact sciences and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in many other fields. The contributors to this book demonstrate the application of mathematics to modern research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

Editors and Affiliations

  • Dept. Mathematics, Universiti Brunei Darussalam, Gadong, Brunei

    Roger J. Hosking

  • Dipto. Matematica, Università di Torino, Torino, Italy

    Ezio Venturino

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