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
Phosphorylation of antiviral and endogenous nucleotides to di- and triphosphates by guanosine monophosphate kinase.
TL;DR: It is concluded that unlike many other antivirals, cyclopropavir can be converted to its active triphosphate by a single cellular enzyme once the monophosphate is formed by a virally encoded kinase.
Journal ArticleDOI
Mathematical principles and models of plant growth mechanics: from cell wall dynamics to tissue morphogenesis.
TL;DR: This review serves to illustrate the biological insights afforded by mathematical modelling and demonstrate the breadth of mathematically-rich problems available within plant sciences, thereby promoting a mutual appreciation across the disciplines.
Catastrophic vegetation dynamics and soil degradation in semi-arid grazing systems
TL;DR: In this article, the authors proposed that soil degradation, i.e., soil erosion by run-off and wind and the consequent loss of water and nutrients, is sufficient to explain catastrophic vegetation dynamics by mathematical modelling.
Journal ArticleDOI
Effects of market price on the dynamics of a spatial fishery model: Over-exploited fishery/traditional fishery.
TL;DR: A dynamical model of a spatial fishery describing the time evolution of the fish stock, the fishing effort and the market price of the resource and a reduced model governing fish density and fishing effort at a slow time scale is presented.
Journal Article
External perturbations and cyclic dynamics in stable populations
TL;DR: The endeavor of the past 50 years has resulted in several hypotheses to account for cyclic dynamics of animal populations, which include such factors as sunspot cycles, epidemics, predator–prey and host– parasite relationships, and food quality External perturbations and Cyclic dynamics in stable populations.