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
The Population Dynamics and Community Ecology of Root Hemiparasitic Plants
TL;DR: Models of resource‐based competition have been extended to include resource parasitism to understand the population dynamics and community ecology of root hemiparasitic plants and their hosts and predict that as productivity in the system increases, parasitic plants should become more abundant.
Modelling and control of hyperglycemia in critical care patients
TL;DR: Overall, the research presented is a significant step towards fully automated adaptive control of hyperglycaemia in critically ill patients.
Journal ArticleDOI
Global attractivity of equilibrium in Gierer–Meinhardt system with activator production saturation and gene expression time delays
Shanshan Chen,Junping Shi +1 more
TL;DR: In this paper, a diffusive Gierer-Meinhardt system with gene expression time delays in the production of activators and inhibitors, and also a saturation in the activator production was investigated.
Journal ArticleDOI
Contaminant migration from an axisymmetric source in a porous medium
TL;DR: In this paper, the authors examined the nonreactive advective transport of a contaminant that is introduced at the boundary of a three-dimensional cavity contained in a fluid-saturated nondeformable porous medium of infinite extent.
Journal ArticleDOI
Transient dynamics and early diagnostics in infectious disease.
Mojdeh Mohtashemi,Richard Levins +1 more
TL;DR: The amplifying effect of the absence of a fully operative immune system on the pathogenesis of the initial inoculum, and its implication for the acute severity of the infection is identified and formalized.