Mathematical Models in Insurance

Multistate Models in Health Insurance

We illustrate how multistate Markov and semi-Markov models can be used for the actuarial modeling of health insurance policies, focussing on health insurances that are pursued on a similar technical basis to that of life insurance. On the basis of the general modeling framework of Helwich (2008), we study examples of permanent health insurance, critical illness insurance, long term care insuran...

Mathematical models in physiology.

Computational modelling of biological processes and systems has witnessed a remarkable development in recent years. The search-term (modelling OR modeling) yields over 58000 entries in PubMed, with more than 34000 since the year 2000: thus, almost two-thirds of papers appeared in the last 5-6 years, compared to only about one-third in the preceding 5-6 decades. The development is fuelled both b...

Mathematical Models in Economics

Advances in Mathematical Models

Title of Document: ADVANCES IN MATHEMATICAL MODELS IN MARKETING. Ashwin Aravindakshan, Doctor of Philosophy, 2007. Directed By: Professor Roland T. Rust, Department of Marketing This dissertation comprises a series of three essays that relate advances made to both theoretical and empirical issues in marketing. The first essay discusses the issue of endogeneity of market share and price in logit...

Mathematical models in biology

Aerotaxis is the particular form of chemotaxis in which oxygen plays the role of both the attractant and the repellent. Aerotaxis occurs without methylation adaptation, and it leads to fast and complete aggregation toward the most favorable oxygen concentration. Biochemical pathways of aerotaxis remain largely elusive, however, aerotactic pattern formation is well documented. This allows mathem...