## Aspects of Mathematical Modelling: Applications in Science, Medicine, Economics and ManagementRoger J. Hosking, Ezio Venturino 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

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 |

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algorithm asymptotically stable atom balanced growth behaviour Biology biomass blood flow blood–brain barrier Bt-resistant capillary cell cellular neural networks censoring coefficient computational constant coronary artery coronary circulation curve cycle DCNN density diffusion distribution Drammen e-mail Ecological ecosystem effects epicardial arteries equation exponential Figure fluid function given global Hopf bifurcation immune system increase insect instability intracranial intracranial pressure intramyocardial Journal kinetic energy linear lumped components lumped parameter model Lyapunov function Malchow Math Mathematical Modelling Mathematics and Biosciences Mathematics Subject Classification Mean Var Mean mechanism microgravity molecular molecule monotonically myocardium neoclassical nonlinear nutrient Oscillations particle Petrovskii phytoplankton plankton population positive equilibrium potential predator pressure problem properties reactor Research simulation solution spatial species stability stenoses stochastic structure subsets temperature term theoretical theory thermodynamical travelling salesman problem tumor vaccine values variables vessels yarn zero zooplankton