Population Biology and Criticality. from Critical Birth-Death Processes to Self-Organized Criticality in Mutation Pathogen Systems

Description

The present book describes novel theories of mutation pathogen systems showing critical fluctuations, as a paradigmatic example of an application of the mathematics of critical phenomena to the life sciences. It will enable the reader to understand the implications and future impact of these findings, yet at same time allow him to actively follow the mathematical tools and scientific origins of critical phenomena. This book also seeks to pave the way to further fruitful applications of the mathematics of critical phenomena in other fields of the life sciences.

Contents

• From Deterministic to Stochastic Dynamics
• Spatial Stochastic Birth–Death Process or SIS-Epidemics
• Criticality in Equilibrium Systems
• Partial Immunization Models
• Renormalization and Series Expansion: Techniques to Study Criticality
• Criticality in Measles Under Vaccination
• Evolution to Criticality in Meningococcal Disease