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
Mathematical modeling and parameter estimation of unemployment with the impact of training programs
TL;DR: A mathematical model that represents the problem of unemployment in poor countries with limited availability of jobs and the existence and stability analysis of both equilibria depend on the basic reproduction number, which is found using the method of next generation matrix.
Analysis of age-structured malaria transmission model
TL;DR: A model to study the dynamics of malaria in an age-structured human host that divides the human population into two compartments and suggests that a unique, stable endemic equilibrium exists is suggested.
Posted ContentDOI
A structural classification of candidate oscillators and multistationary systems
TL;DR: A classification for sign–definite non autocatalytic biological networks is proposed which summarize several existing results in the literature, adding new results when necessary, and defines candidate oscillators and multistationary systems based on their admissible transitions to instability.
Journal ArticleDOI
Mathematical analysis on an extended Rosenzweig-MacArthur model of tri-trophic food chain
TL;DR: In this paper, the authors study a new model as an extension of the Rosenzweig-MacArthur tritrophic food chain model in which the super-predator consumes both the predator and the prey.
Journal ArticleDOI
Modelling competition and hybridization between native cutthroat trout and nonnative rainbow and hybrid trout.
TL;DR: Stochastic Lotka–Volterra models are applied to the displacement of cutthroat trout by rainbow/hybrid trout in the Snake River, Idaho, USA to provide evidence for a model in which interaction occurs among fish from both river and tributary subpopulations.