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
Chimera states in a ring of map-based neurons
Leyla Khaleghi,Shirin Panahi,Sayantan Nag Chowdhury,S. A. Bogomolov,Dibakar Ghosh,Sajad Jafari +5 more
TL;DR: This work investigates the ability of a neural network to produce chimera, a simultaneous combination of synchronous and asynchronous environments in a network of identical oscillators, using a discrete neuronal model which resolve the curse of dimensionality by retraining the complex behavior at the same time.
Journal ArticleDOI
Mechanisms for initiation of cardiac discordant alternans
Blas Echebarria,Alain Karma +1 more
TL;DR: The mechanism of, and the conditions for, initiation are determined based on an iterated map analysis of beat to beat changes of APD, leading to the definition of a vulnerable window for initiation of discordant alternans.
Journal ArticleDOI
Chemical reactor models of optimal digestion efficiency with constant foraging costs
TL;DR: In this paper, the authors developed quantitative optimization criteria for transient digestion processes in simple animal tracts that can be modeled by a semi-batch reactor or plug flow reactor, and determined the residence time that optimizes the average net energy intake over the total residence time.
Journal ArticleDOI
Weakly nonlinear stability analyses of one-dimensional Turing pattern formation in activator-inhibitor/immobilizer model systems
TL;DR: In this article, the development of one-dimensional Turing patterns characteristic of the chlorite-iodide-malonic acid/starch reaction as well as analogous Brussellator/immobilizer and Schnackenberg/IMO model systems is investigated by means of a weakly nonlinear stability analysis applied to the appropriately scaled governing equations.
Journal ArticleDOI
Qualitative modelling of the kelp forest of Lessonia nigrescens Bory (Laminariales: Phaeophyta) in eulittoral marine ecosystems of the south–east Pacific: an approach to management plan assessment
TL;DR: This contribution aims at the assessment of the sustainability of a management plan for Lessonia nigrescens in Chilean coastal ecosystems, specially when the harvest pressure could be increased due to that this macroalgae is considered as a food source for the abalon farming along the Chilean coast.