Ebook: Mathematics for Life Science and Medicine

Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

---

Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

---

Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

Content:
Front Matter....Pages I-X
Mathematical Studies of Dynamics and Evolution of Infectious Diseases....Pages 1-4
Basic Knowledge and Developing Tendencies in Epidemic Dynamics....Pages 5-49
Delayed SIR Epidemic Models for Vector Diseases?....Pages 51-65
Epidemic Models with Population Dispersal....Pages 67-95
Spatial-Temporal Dynamics in Nonlocal Epidemiological Models....Pages 97-122
Pathogen Competition and Coexistence and the Evolution of Virulence....Pages 123-153
Directional Evolution of Virus Within a Host Under Immune Selection....Pages 155-176
Stability Analysis of a Mathematical Model of the Immune Response with Delays....Pages 177-206
Modeling Cancer Treatment Using Competition: A Survey....Pages 207-223
Back Matter....Pages 225-227

---

Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

Content:
Front Matter....Pages I-X
Mathematical Studies of Dynamics and Evolution of Infectious Diseases....Pages 1-4
Basic Knowledge and Developing Tendencies in Epidemic Dynamics....Pages 5-49
Delayed SIR Epidemic Models for Vector Diseases?....Pages 51-65
Epidemic Models with Population Dispersal....Pages 67-95
Spatial-Temporal Dynamics in Nonlocal Epidemiological Models....Pages 97-122
Pathogen Competition and Coexistence and the Evolution of Virulence....Pages 123-153
Directional Evolution of Virus Within a Host Under Immune Selection....Pages 155-176
Stability Analysis of a Mathematical Model of the Immune Response with Delays....Pages 177-206
Modeling Cancer Treatment Using Competition: A Survey....Pages 207-223
Back Matter....Pages 225-227
....