We first discuss some fundamental results such as equilibria, linearization, and stability of nonlinear dynamical systems arising in mathematical modeling. Next we study the dynamics in planar systems such as limit cycles, the Poincaré-Bendixson theorem, and some of its useful consequences. We then study the interaction between two and three different cell populations, and perform stability and bifurcation analysis on the systems. We also analyze the impact of immunotherapy on the tumor cell population numerically
Many of the phenomena studied in the natural and social sciences are governed by processes which are...
Mathematical models can be used to meet many of the challenges and opportunities offered by modern b...
Featuring contributions from experts in mathematical biology and biomedical research, this edited vo...
The book covers nonlinear physical problems and mathematical modeling, including molecular biology, ...
In this thesis, we explore the stability and the breakdown of stability of biological systems. The m...
This book presents recent research results relating to applications of nonlinear dynamics, focusing ...
With many areas of science reaching across their boundaries and becoming more and more interdiscipli...
Mathematical biology has been an area of wide interest during the recent decades, as the modeling of...
We study planar systems of difference equations and applications to biological models of species pop...
The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at th...
This book collects recent advances in the field of nonlinear dynamics in biological systems. Focusin...
One of the most unexpected results in science in recent years is that quite ordinary systems obeying...
Aim: The course aims at providing an overview of some of the mathematical tools used in the modeling...
AbstractA bifurcation analysis is developed for the initial value problem for a nonlinear system of ...
dissertationThe interplay of dynamics and structure is a common theme in both mathematics and biolog...
Many of the phenomena studied in the natural and social sciences are governed by processes which are...
Mathematical models can be used to meet many of the challenges and opportunities offered by modern b...
Featuring contributions from experts in mathematical biology and biomedical research, this edited vo...
The book covers nonlinear physical problems and mathematical modeling, including molecular biology, ...
In this thesis, we explore the stability and the breakdown of stability of biological systems. The m...
This book presents recent research results relating to applications of nonlinear dynamics, focusing ...
With many areas of science reaching across their boundaries and becoming more and more interdiscipli...
Mathematical biology has been an area of wide interest during the recent decades, as the modeling of...
We study planar systems of difference equations and applications to biological models of species pop...
The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at th...
This book collects recent advances in the field of nonlinear dynamics in biological systems. Focusin...
One of the most unexpected results in science in recent years is that quite ordinary systems obeying...
Aim: The course aims at providing an overview of some of the mathematical tools used in the modeling...
AbstractA bifurcation analysis is developed for the initial value problem for a nonlinear system of ...
dissertationThe interplay of dynamics and structure is a common theme in both mathematics and biolog...
Many of the phenomena studied in the natural and social sciences are governed by processes which are...
Mathematical models can be used to meet many of the challenges and opportunities offered by modern b...
Featuring contributions from experts in mathematical biology and biomedical research, this edited vo...