MonographDOI
Mathematical Models in Biology
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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
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Journal ArticleDOI
Ecogenetic models, competition, and heteropatry
TL;DR: The results suggest that if individuals prefer to oviposit in their best niche, rather than their natal niche (where they mature), then allele fixation very probably occurs, while the degree of selection of natal habitat for oviposition purposes serves to increase this likelihood.
Journal ArticleDOI
Understanding COVID-19 nonlinear multi-scale dynamic spreading in Italy
TL;DR: In this article, a multi-scale analysis of the COVID-19 outbreak in Italy is carried out using various models and data-driven approaches, such as logistic regression and differential evolution algorithm.
Journal ArticleDOI
Dimensional analysis of MINMOD leads to definition of the disposition index of glucose regulation and improved simulation algorithm.
TL;DR: The model was maximally simplified in the dimensionless formulation that normalizes the variation in glucose and insulin during FSIVGTT, which led to a 1.5–5 fold gain in speed, and significantly improved accuracy and robustness in parameter estimation compared to the dimensional implementation.
Journal ArticleDOI
A Multicohort Stock Production Model
Jerald S. Ault,Donald B. Olson +1 more
TL;DR: An age-structured production model of multicohort fish population dynamics based on the mean metabolic state of individuals and the average abundance of year-classes, which allows variations in life stage basal metabolic rates by parameterizing their effects on total population abundance through a mortality function which itself depends upon an individual's status relative to an optimal metabolic state.