Mathematical Models in Population Biology and Epidemiology

• Main Authors: Brauer, Fred (Author), Castillo-Chavez, Carlos (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2012.
• Series: Texts in Applied Mathematics, 40
• Subjects: Mathematics.; Community ecology, Biotic.; Biomathematics.; Mathematical and Computational Biology.; Community & Population Ecology.

This textbook provides an introduction to the field of mathematical biology through the integration of classical applications in ecology with more recent applications to epidemiology, particularly in the context of spread of infectious diseases. It integrates modeling, mathematics, and applications...

Table of Contents:

• Part I: Simple Single-Species Models. 1. Continuous population models. 2. Discrete population models. 3. Continuous single-species population models with delay
• Part II: Models for Interacting Species. 4. Introduction and mathematical preliminaries. 5. Continuous models for two interacting populations. 6. Harvesting in two-species population models. 7. Multi-species population models
• Part III: Structured Population Models. 8. Models for population with age structure. 9. Models for populations with spatial distribution. .