## Mathematics in Biology and Medicine: Proceedings of an International Conference held in Bari, Italy, July 18–22, 1983Vincenzo Capasso, Enea Grosso, Stefano L. Paveri-Fontana |

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### Contents

7 | |

Mathematical problems in the description of age structured populations | 19 |

Contributed Papers | 33 |

A problem on invariant manifolds arising in population genetics | 39 |

On a mathematical problem arising in cell population biology | 47 |

trailfollowing | 54 |

Stationary distributions for populations subject to random catastrophes | 60 |

On twopopulation models with switching depletion | 78 |

Experimental validation of a mathematical procedure for the analysis | 273 |

A stochastic model for describing the spacetime evolution of the extreme | 280 |

Statistical analysis of the coding capacity of complementary DNA strands | 286 |

Time hierarchy in oscillating metabolic systems | 300 |

The age structure of populations of cells reproducing by asymmetric | 320 |

Hopf bifurcation and the repetitive activity of excitable cells | 335 |

Investigation of rapid metabolic reactions in whole organs by multiple | 348 |

54 | 358 |

Predatormediated coexistence of competing species in a Wolterra model | 92 |

models of disease control | 106 |

Models for endemic diseases | 127 |

Contributed Papers | 145 |

Models of the interaction of host genotypes and infectious disease | 158 |

Control of virus transmission in agestructured populations | 171 |

Local stability in epidemic models for heterogeneous populations | 185 |

Bayesian methods in ecology and resource management | 191 |

Contributed Papers | 201 |

PHY S I O LOGY AND ME DIC | 207 |

A mathematical model for cardiac electric sources and related potential | 220 |

Mathematical analysis of immobilized enzyme systems | 230 |

Contributed Papers | 239 |

The phase resetting characteristics of endogenously active neurones | 247 |

Theory of DNA superhelicity | 253 |

Determination of DNA synthesis rate in cell populations with locally | 260 |

A numerical study for a cell system | 266 |

Growth of cell populations | 366 |

On the use of residence time moments in the statistical analysis | 386 |

398 | |

An algorithm for reconstruction of count rate curves from total counts | 399 |

Contributed Papers | 409 |

on characterization of | 421 |

G E NERAL MATH E MATICAL METHODS | 427 |

Stability of de lay differential equations with applications in biology | 439 |

Existence of quasisolutions of systems of nonlinear elliptic BVPs | 447 |

Diffusion approximations and first passage time problems in population | 455 |

Contributed Papers | 469 |

an asymptotic stability criterion | 476 |

On existence uniqueness and attractivity of stationary solutions | 482 |

Asymptotic estimates for principal eigenvalues | 488 |

Remarks on the connection between positive feedback and instability | 494 |

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