Aspects of Mathematical Modelling: Applications in Science, Medicine, Economics and Management

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Roger J. Hosking, Ezio Venturino
Springer Science & Business Media, Mar 2, 2008 - Mathematics - 375 pages
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The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

 

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Contents

A Review
1
PlanktonNutrient Interaction as a Paradigm
27
Nutrient Nontoxic Phytoplankton Toxic Phytoplankton and Zooplankton Interaction in an Open Marine System
41
Stability and Optimal Harvesting in a Stage Structure PredatorPrey Switching Strategy
64
Mathematical Simulation
81
Reducing the Emission of Pollutants in Industrial Wastewater through the Use of Membrane Bioreactors
95
Model Hysteresis Dimer Molecule I Equilibrium Properties
109
Model Hysteresis Dimer Molecule II Deductions from Probability Profiles
142
Phylogenetic Analysis Split Systems and Boolean Functions
235
Exponential Convergence Analysis of DCNNs having Unbounded Activations and Inhibitory SelfConnect ions
249
an Heuristic Solution Technique
269
A Term Structured Volatility Model of Poll Data and its Application to Election Timing
282
Estimation for the Semiparametric Transformation Model under General Censorship
293
Integer Programming Models of Bookmobile Routing
305
Instability and Sustained Oscillations in NeoClassical Growth Models with Unemployment
321
A Basstype Model for a Dynamic Market with Logistic Growth
343

Mathematical Modelling and Simulation of Coronary Blood Flow
161
Modelling Vaccine Protocols
195
William D Lakin and Scott A Stevens
211
Some Caveats in using Gaussian Noise in Mathematical Models of Chemotherapy
228
A Wavelet Neural Network applied to Textile Spinning
363
Index
370
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