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
Global asymptotic stability of plant-seed bank models
TL;DR: This paper constructs a general density-dependent plant-seed bank model where the seed bank is age-structured and derives an analytical formula for the equilibrium population using methods from feedback control theory and applies these results to a model for the plant species Cirsium palustre and its seed bank.
Journal ArticleDOI
Distributed load frequency control in an interconnected power system using ecological technique and coefficient diagram method
TL;DR: In this paper, a load frequency control (LFC) design using both of coefficient diagram method (CDM) and ecological optimal technique (ECO) in a multi-area power system is presented.
Journal ArticleDOI
Location, Time, and Temperature Dependence of Digestion in Simple Animal Tracts
TL;DR: This paper develops plug flow reactor models that simultaneously investigate how reaction and absorption, morphological differences, and temperature influence nutrient acquisition rates in simple, tubular animal guts and obtains formulas giving the throughflow speed that maximizes the absorption rate.
Journal ArticleDOI
Morphogenetic Processes: Application to Cambial Growth Dynamics
Loic Forest,Jaime San Martín,Fernando Padilla,Fabrice Chassat,Françoise Giroud,Jacques Demongeot,Jacques Demongeot +6 more
TL;DR: A new discrete modelling approach is used, based on the cellular scale, in order to attain a more accurate understanding of how the elementary microscopic behaviour of each cell takes part in the macroscopic morphogenesis.
Journal ArticleDOI
Study of Global Dynamics of COVID-19 Via a New Mathematical Model
TL;DR: A new type epidemic model composed on four compartments that is susceptible, exposed, infected and recovered (SEIR), which describes the dynamics of COVID-19 under convex incidence rate is used.