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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Book
An Introduction to Dynamical Systems and Chaos
TL;DR: Continuous Dynamical Systems as mentioned in this paper, Linear Systems, Phase Plane Analysis, Stability Theory, Oscillations, Theory of Bifurcations, Hamiltonian Systems, Symmetry Analysis, Conjugacy of Maps, Chaos, Fractals.
Journal ArticleDOI
Generic excitable dynamics on a two-dimensional map
TL;DR: In this article, the basic implementation of distributed excitable networks using coupled maps lattices is described in one-and two-dimensional media with nearest-neighbor coupling, and the elementary dynamic that is analogous to that of neural elements, is analyzed using phase plane methods.
Journal ArticleDOI
A Mathematical Model of Coronavirus Disease (COVID-19) Containing Asymptomatic and Symptomatic Classes.
TL;DR: The research work in this paper attempts to describe the outbreak of Coronavirus Disease 2019 with the help of a mathematical model using both the Ordinary Differential Equation (ODE) and Fractional DifferentialEquation (DFE).
Journal ArticleDOI
Qualitative Analysis of a Mathematical Model in the Time of COVID-19.
TL;DR: A qualitative analysis of the mathematical model of novel corona virus named COVID-19 under nonsingular derivative of fractional order is considered and the results of stability of Ulam's type are presented by using the tools of nonlinear analysis.
Journal ArticleDOI
Predator–prey fuzzy model
TL;DR: This work has used fuzzy rule-based systems to elaborate a predator–prey type of model to study the interaction between aphids and ladybugs in citriculture, where the aphids are considered as transmitter agents of the Citrus Sudden Death (CSD).