MonographDOI
Mathematical Models in Biology
Reads0
Chats0
TLDR
The theory of linear difference equations applied to population growth and the applications of nonlinear difference equations to population biology are explained.Abstract:
Part I. Discrete Process in Biology: 1. The theory of linear difference equations applied to population growth 2. Nonlinear difference equations 3. Applications of nonlinear difference equations to population biology Part II. Continuous Processes and Ordinary Differential Equations: 4. An introduction to continuous models 5. Phase-plane methods and qualitative solutions 6. Applications of continuous models to population dynamics 7. Models for molecular events 8. Limit cycles, oscillations, and excitable systems Part III. Spatially Distributed Systems and Partial Differential Equation Models: 9. An introduction to partial differential equations and diffusion in biological settings 10. Partial differential equation models in biology 11. Models for development and pattern formation in biological systems Selected answers Author index Subject index.read more
Citations
More filters
Journal ArticleDOI
A deterministic mathematical model for the spread of two rumors
René Escalante,Marco Odehnal +1 more
TL;DR: In this article, a deterministic mathematical model that attempts to explain the propagation of a rumor using SIRS type epidemiological models with temporary immunity and nonlinear incidence rate is proposed.
Journal ArticleDOI
Random Convex Hulls and Extreme Value Statistics
TL;DR: In this article, the authors present a unified approach based on the notion of support function of a closed curve and the associated Cauchy's formulae that allows to compute exactly the mean perimeter and the mean area enclosed by the convex polygon both in case of independent and correlated points.
Supporting Assessment in Undergraduate Mathematics.
TL;DR: In this article, the authors evaluated the effectiveness of introductory calculus and precalculus courses at Allegheny College by analyzing grade data, conversations with client departments, and information regarding such courses at other institutions.
Book ChapterDOI
Mathematical Modeling of Prion Disease
TL;DR: In this work, some of the major mathematical studies that have contributed to the understanding of prion disease are reviewed and trends in current and future studies are discussed.
Journal ArticleDOI
A three level finite element approximation of a pattern formation model in developmental biology
TL;DR: The effectiveness of the numerical method to approximate the Turing patterns of the Thomas system over a schematic mammal skin domain with fixed geometry at various scales is illustrated by repeating an important classical experiment in mathematical biology.