## Dynamical Models in Biologyuse back cover copy * A 'down-to-earth' introduction to the growing field of modern mathematical biology * Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra |

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### Contents

1 | |

17 | |

Chapter 3 Epidemics | 63 |

Chapter 4 Evolution And population Genetics | 79 |

Chapter 5 Morphogenesis And Pattern Formation | 105 |

Appendix 1 Discrete Mathematics | 125 |

Appendix 2 Ordinary Differential Equations | 143 |

Appendix 3 Partial Differential Equations | 157 |

Appendix 4 Riemannian Geometry | 171 |

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184 | |

### Common terms and phrases

2-periodic age distribution age group alleles antigene Appendix 2.2 assume asymptotically stable average fitness bifurcation boundary conditions called capita growth rate carrying capacity cells characteristic polynomial coefficients considered coordinate system corresponding critical point decreasing denoted density derivative determine differential equations diffusion disease domain eigenvalues epidemic equilibrium point external parameters Farkas fixed point frequencies function F gametes genome type genotype gradient system graph Hardy-Weinberg law hypercycle implies increase initial conditions initial values interior interval intraspecific competition isoclines Jacobi matrix K-strategist linear system Lotka–Volterra Lyapunov function Lyapunov sense males mathematical matrix means molecules Morse function negative neighborhood nonnegative number of infectives obtain orthant periodic path periodic solution phase space plane population positive orthant positive quadrant predator problem quantity of prey respectively Riemannian right-hand side roots semiflow smooth function spatial structurally stable substituted system of differential tends to infinity tends to zero theory trajectories unstable variables vector zygote