## Mathematical Models in Agriculture: Quantitative Methods for the Plant, Animal and Ecological SciencesThis is a completely rewritten and expanded version of the successful 1984 book of the same name published by Butterworths. The objective remains the same: to teach students of agriculture and related ecological problems how to express ideas mathematically and solve the resulting mathematical problem. The book is designed to be a textbook, and is suitable for self-study, with exercises and answers. While the level of mathematics is dictated by the problem, the book uses a qualified simplicity. The need of many students to grasp every step of a mathematical model is appreciated and catered for. This book will appeal to graduate students and researchers in agriculture, including crop, environmental, and animal sciences. |

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### Contents

TECHNIQUES | 1 |

CROPS | 275 |

ANIMALS | 522 |

Solutions to Exercises | 717 |

Mathematical Glossary | 803 |

Constants and Conversions | 841 |

843 | |

887 | |

### Common terms and phrases

amino acid animal aphid applied assumed asymptote calculated canopy cells coefficient component constraint crop curve day1 decision variables decreases defined degradation denotes density depends described differential equations dry matter dry weight dynamics energy Exercise exponential feed flux fraction given gives Glossary glucose Gompertz hydrolysis increases inf inf infected input intake integration J.H.M. Thornley kg DM kg structural lactation leaf area leaf area index leucine linear programming logistic mathematical maximum mechanistic metabolism Michaelis–Menten Michaelis–Menten equation milk nutrient parameters photosynthesis plant pool problem processes production protein quantity radiation rate constant reaction response root rumen senescence shoot shown in Fig sigmoidal simulation soil solution specific growth rate structural dry mass substrate substrate concentrations synthesis temperature Thornley tissue units uptake water potential water vapour XPRESS-MP yield zero