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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The emergence of sarcomeric, graded-polarity and spindle-like patterns in bundles of short cytoskeletal polymers and two opposite molecular motors
TL;DR: This work uses linear stability analysis and numerical solutions of partial differential equations to investigate pattern formation in the one-dimensional system of short dynamic polymers and one (plus-end directed) or two (one is plus-end, another minus- end directed) molecular motors.
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The Dynamics of Addiction: Craving versus Self-Control
TL;DR: The aim is to describe the process of addiction as a dynamical system in the way this is done in the natural and technological sciences, and how a person can get addicted when changing lifestyle.
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Dynamics of infectious diseases: A review of the main biological aspects and their mathematical translation
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The dynamics, causes and possible prevention of Hepatitis E outbreaks.
TL;DR: The dynamics of a Hepatitis E outbreak in the Kitgum region of northern Uganda during 2007 to 2009 is investigated to determine that the critical level of latrine and bore hole coverages needed to eradicate the epidemic is at least and respectively.
Journal ArticleDOI
Richards-like two species population dynamics model
TL;DR: A generalized Lotka–Volterra model with intraspecific competition with a forbidden region in the mutualism regime, and a survival/extinction transition with dependence on initial conditions for the competition regime is presented.