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
Pattern formation of an epidemic model with cross diffusion
TL;DR: The study shows that the interaction of self and cross diffusion can be considered as an important mechanism for the appearance of complex spatiotemporal dynamics in epidemic models.
Journal ArticleDOI
Dynamical analysis of mathematical model for Bovine Tuberculosis among human and cattle population
TL;DR: It is suggested that controllingBTB in cattle population may indirectly control the spread of BTB in human and the trivial disease-free equilibrium of the model is shown to be locally asymptotically stable when the two associated basic reproduction number are less than unity.
Journal ArticleDOI
Development of a dynamical systems model of plant programmatic performance on nuclear power plant safety risk
TL;DR: A dynamical systems model is proposed that describes the interaction of important plant processes on nuclear safety risk and indicates that significant benefits in effectively managing risk are obtained by integrating the plant operation and work management processes such that decisions are made utilizing a multidisciplinary and collaborative approach.
OtherDOI
Repetitive Action Potential Firing
TL;DR: The biophysical basis of repetitive action potential firing can be understood in terms of the opposing positive and negative feedback processes that generate the repetitive activity.
Journal Article
On existence and nonexistence of limit cycles for FitzHugh-nagumo class models
Mattias Ringkvist,Yishao Zhou +1 more
TL;DR: In this article, the existence and non-existence of limit cycles of FitzHugh-Nagumo class models is discussed, and it is shown that this class of model exhibits double cycle bifurcation in addition to Andronov-Hopf bifurbcation.