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
Aggregation methods in food chains
TL;DR: In this paper, the authors apply aggregation methods to food chains under batch and chemostat conditions, and compare simulated results for the reduced and the full model of this food chain.
Journal ArticleDOI
Modeling and numerical simulation of biotin carboxylase kinetics: Implications for half-sites reactivity
TL;DR: Numerical simulations of the proposed kinetic model support the hypothesis that the two active sites of biotin carboxylase alternate their catalytic cycles.
Journal ArticleDOI
Robust Microgrid Clustering in a Distribution System With Inverter-Based DERs
TL;DR: From the robustness studies, the best possible microgrid configurations are determined for IEEE 33-bus system having a mix of inverter-based DERs and synchronous generator-basedDERs, and all possible micro grid cluster formations are studied for finding the most robust microgrid islanding strategies.
Journal ArticleDOI
Time-course window estimator for ordinary differential equations linear in the parameters
TL;DR: It is shown how using window smoothing yields a fast estimator for systems that are linear in the parameters and proved that the proposed estimator is n-consistent, which can serve as a good initial estimate for more efficient estimators.
Journal ArticleDOI
On the fractional SIRD mathematical model and control for the transmission of COVID-19: The first and the second waves of the disease in Iran and Japan.
TL;DR: In this article, a fractional-order SIRD mathematical model with Caputo derivative for the transmission of COVID-19 between humans is presented, and the steady-state of the system and its stability are discussed.