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
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Journal ArticleDOI
A nonstandard finite difference scheme for a Fisher PDE having nonlinear diffusion
TL;DR: In this paper, a nonstandard finite difference scheme is constructed using methods generated by the previous work of Mickens, and a functional relationship is obtained between the space and time step-sizes.
Journal ArticleDOI
The local stability of a modified multi-strain SIR model for emerging viral strains.
Miguel Fudolig,Reka Howard +1 more
TL;DR: A novel multi-strain SIR epidemic model with selective immunity by vaccination is studied, showing that it is possible for a viral strain to emerge from a population at a time when the influenza virus, a well-known virus with a vaccine readily available, is active in a population.
Journal ArticleDOI
Nonrandom Mating Preserves Intrasexual Polymorphism and Stops Population Differentiation in Sexual Conflict
Roger Härdling,Johannes Bergsten +1 more
TL;DR: This work shows that if nonrandom mating occurs with respect to male and female conflict traits, genetic correlations will act to stabilize the trait frequencies so that all morphs are maintained, and argues that the process described may be a general force that maintains polymorphism in other taxa as well.
Journal ArticleDOI
Two-prey one-predator model
TL;DR: A new multi-team prey–predator model, in which the prey teams help each other, is proposed, and local stability and persistence of the model without help are studied.
Journal ArticleDOI
Input–output relations in the entorhinal cortex–dentate–hippocampal system: Evidence for a non-linear transfer of signals
TL;DR: It is demonstrated that all structures downstream to the ENT operate according to sigmoid input-output functions, characterized by specific parameters, and that field CA1 can be activated by field CA2, independently from field CA3.