In this work we consider the Colpitts oscillator as a paradigm for sinusoidal oscillation and
we investigate its nonlinear dynamics. In particular, we carry out a two-parameter bifurcation …

The main modes of behavior of a food chain model composed of logistic prey and Holling
type II predator and superpredator are discussed in this paper. The study is carried out …

Focusing on growth and decay processes, interacting populations, and heating/cooling
problems, Mathematical Modelling with Case Studies: A Differential Equations Approach …

We present a universal approach to the investigation of the dynamics in generalized models.
In these models the processes that are taken into account are not restricted to specific …

Complex dynamics of the most frequently used tritrophic food chain model are investigated
in this paper. First it is shown that the model admits a sequence of pairs of Belyakov …

Mathematical modelling has great potential to motivate students towards studying
mathematics. This article discusses several different approaches to integrating research …

This paper is concerned with a quantitative model describing the interaction of three
sociological species, termed as owners, criminals and security guards, and denoted by X, Y …

The localization of critical parameter sets called bifurcations is often a central task of the
analysis of a nonlinear dynamical system. Bifurcations of codimension 1 that can be directly …

This popular text provides students with hands-on modeling skills for a wide variety of
problems involving differential equations that describe rates of change. This edition includes …

A model is a rendition of a reality which is often too difficult or impossible to handle directly.
A model is always a simplification, and a good model is one that captures the essential …