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
Stability of air-cushion surge tanks with throttling
Xiao-Liang Yang,Chen-Shan Kung +1 more
TL;DR: In this paper, the throttling orifice is introduced into air-cushion surge chambers to improve stability, which adds another nonlinear term to the dynamic system, and its effect becomes predominant for oscillations with large displacements.
Proceedings ArticleDOI
A disease evolution model with uncertain parameters
Laécio Carvalho de Barros,Rodney Carlos Bassanezi,Renata Zotin Gomes de Oliveira,Maria Beatriz Ferreira Leite +3 more
TL;DR: In this paper, the SIS epidemiological model is considered in which the transmission and recuperation rates are considered fuzzy sets and the concepts of possibility measures and fuzzy expectancy value are used to obtain the basic reproduction value for infected groups with different viral charge.
Proceedings ArticleDOI
Polyhedral Lyapunov functions for structural stability of biochemical systems in concentration and reaction coordinates
Franco Blanchini,Giulia Giordano +1 more
TL;DR: The framework previously proposed by the authors to assess structural stability of biochemical reaction networks with monotone reaction rates is considered, and it is shown that the results can be applied to systems in reaction coordinates.
Journal ArticleDOI
The Ignition of Damp Combustible Material where the Fibres are Entirely Covered with H2O
Andrew Mcintosh,B. F. Gray +1 more
TL;DR: In this article, a model taking account of condensation and evaporation within damp combustible material is considered where the fibres are considered completely covered by water liquid so that the evapore term is not dependent on the amount of liquid present.