Center for Studies in Demography and Ecology

Population Research Discovery Seminars

Partition Theorem in Populations and its Role in Determining the Stationary Status of a Population

Arni Rao, Professor & Director of Laboratory for Theory and Mathematical Modeling, Division of Infectious Diseases, Medical College of Georgia

Moderated by:

David SwansonProfessor Emeritus, Department of Sociology at University of California, Riverside


Register for Zoom Seminar HERE

12:30-1:30 PM PT

The Net Reproductive Rate (NRR) in demography is often used to compute the population replacement rate. The time sensitiveness of NRR in demography concerning determining the statitionary status of a population is questioned. To what extent partition theorem in the population can provide timely status on the stationary component of a population is explained. Mathematical perspectives of the stationary population will be discussed.

Dr. Arni Rao conducted research and/or taught at several institutions, such as the Indian Institute of Science, University of Oxford, Indian Statistical Institute and the University of Guelph. His mathematical models for HIV/AIDS helped in the national policies in India. His works on deep-learning algorithms in infertility data, blockchain technology with hybrid models, epidemiological policies, and Chicken Walk Models are widely discussed for their practical value. Rao’s other noted contributions include his fundamental theorem in stationary population models (Rao-Carey Theorem), Partition Theorem in Populations, and Artificial Intelligence Model for COVID-19 Identification.