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
Epidemics of panic during a bioterrorist attack--a mathematical model.
TL;DR: A mathematical model of panic and counter-measures as the function of time in a population exposed to a bioterrorist attack is proposed and might be helpful for an attacked community to timely and properly apply counter- measures and to minimize human mental suffering during a biOTerrorism attack.
Journal ArticleDOI
Time‐Series Data and the “Migraine Generator”
TL;DR: The patterns of circadian and menstrual patterns of migraine frequency are examined in order to identify properties of the putative migraine generator.
Journal ArticleDOI
The octave potencies convention: a mathematical model of dilution and succussion.
TL;DR: An analogy is explored between iterated cycles dilution and succussion, in making homeopathic remedies, and iterate cycles of reseeding and growth, in bacterial cultures, and a plausible interpretation of why potencies at approximately regular ratios are traditionally used is explored.
Journal ArticleDOI
Symbiontic bacteria in parasitoid populations: coexistence of Wolbachia infected and uninfected Trichogramma.
TL;DR: By calculating invasion criteria it is shown that this model can explain coexistence of uninfected and infected Trichogramma forms, which are two separated populations living on the same host.
Journal ArticleDOI
Analysis of a model of gambiense sleeping sickness in humans and cattle
A.M. Ndondo,Justin Manango W. Munganga,Jeanine Mwambakana,Chadi M. Saad-Roy,P. van den Driessche,R.O. Walo +5 more
TL;DR: A deterministic model is presented for the transmission of HAT caused by Trypanosoma brucei gambiense between human hosts, cattle hosts and tsetse flies and provides a rigorous derivation of the basic reproduction number.