Dr. Charles J. Mode's Home Page

Charles J. Mode

Professor Emeritus of Mathematics
Drexel University
Philadelphia, PA 19105

Education

B .S. - Genetics - North Dakota State University, 1952
M. S. - Genetics - Kansas State University, 1953
Ph.D. - Genetics - University of California, Davis and Berkeley, 1956
Post-doctorate fellowship in Statistics - North Carolina State University, 1956-57

Academic Positions Held

1957-1966 -

Member of Department of Mathematics and Genetics Group at Montana State University

1957-1959 -

Assistant Professor of Mathematics

1960-1962 -

Associate Professor of Mathematics

1963-1966 -

Professor of Mathematics

1966-1970 -

Associate Professor, Department of Mathematical Statistics, State University of New York at Buffalo

1970-1998 -

Professor of Mathematics, Drexel University, Philadelphia, PA

1998 -

Professor Emeritus of Mathematics, Drexel University, Philadelphia, PA

Research Interests

Stochastic models in Biostatistics, Demography, Epidemiology of Infectious Diseases, and Genetics and Bioinformatics, methods of statistical inference and data analysis, branching processes, renewal theory, Markov chains and processes, semi-Markov processes, software engineering, computer intensive methods, Monte Carlo simulation.

Books

1. Multi-Type Branching Processes-Theory and Application, (1971) American Elsevier Publishing Company, Inc., New York, 300 pages, 1971.

2. Stochastic Processes in Demography and Their Computer Implementation, (1985) Springer-Verlag, Berlin, Heideberg, New York, 400 pages, 1985.

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Recent Publications

AIDS Incidence and Income in Philadelphia. Journal of Acquired Immune Deficiency Syndromes 5:1105-1110, 1992 (with Daniel Fife).

AIDS Prevalence by Income Group in Philadelphia. Journal of Acquired Immune Deficiency Syndromes 5: 1111-1115, 1992 (with Daniel Fife).

Some Laws of Mortality: How Well Do They Fit? Human Biology 65: 445-461, 1993 (with Timothy Gage).

A Stochastic Model of State Transitions in an Air Space Management System. Journal of Operations Research 42: 262-273, 1994 (with E.I. Ringel).

On the Formulation and Computer Implementation of an Age-Dependent Two-Sex Demographic Model. Mathematical Biosciences 118: 211-243, 1993 (with M.A. Salzburg).

On Some Formulas in a Partnership Model From The Perspective of a Semi-Markov Process. Journal of Mathematical Biology 32: 161-169, 1994 (with K. Dietz).

An Extension of the Galton-Watson Process to a Two-Sex Density Dependent Genetic Model. Proceedings of the First World Conference on Branching Processes. Edited by C. Heyde, Springer Lecture Notes in Statistics. 99:152-168, 1995.

Threshold Parameters for Stochastic Heterosexual Partnership Models of HIV/AIDS Formulated within Multitype CMJ-Processes. Proceedings of the Fourth International Conferences on Mathematical Population Dynamics. Advances in Mathematical Population Dynamics - Molecules, Cells and Man. Editors, O. Arino, D. Axelrod, and M. Kimmel, Series in Mathematical Biology and Medicine, World Scientific, Singapore, New Jersey, London, Hong Kong 6:383-405, 1997.

On Fitting a Non-Linear Stochastic Model Accommodating Heterogeneous Risk Behavior to Public Health on a HIV/AIDS Epidemic, with C. K. Sleeman. Proceedings of the Fourth International Conferences on Mathematical Population Dynamics. Advances in Mathematical Population Dynamics - Molecules, Cells, and Man. Editors, O. Arino, D. Axelrod, and M. Kimmel, Series in Mathematical Biology and Medicine, World Scientific, Singapore, New Jersey, London, Hong Kong 6:453-476, 1997. (with C. K. Sleeman)

Threshold Parameters for a Simple Stochastic partnership Model of Sexually Transmitted Diseases Formulated as a Two-Type CMJ-Process. IMA Journal of Mathematics Applied in Medicine and Biology 14: 251-260, 1997.

Threshold parameters for a simple stochastic partnership model of sexually transmitted diseases formulated as a two-type CMJ process. IMA Journal Mathematics Applied in Medicine and Biology, 14:4, 251-60, 1997 Dec

On Modelling Contact Structures in HIV/AIDS Epidemic in Heterosexual Populations. To appear in Mathematical and Computer Modelling, (with C. K. Sleeman).

Semi-Markov Processes. An invited paper in the Encyclopedia of Biostatistics, Editors-In-Chief: Peter Armitage, University of Oxford, UK, and Theodore Colton, Boston University, USA, John Wiley & Sons. 5:4045-51, 1998

A Methodological Study on Fitting a Nonlinear Stochastic Model of the AIDS Epidemic in Philadelphia. Mathematical and Computer Modelling 26: 33-51, 1997. (with C. K. Sleeman).

A New Design of Stochastic Partnership Models for Epidemics of Sexually Transmitted Diseases with Stages. Mathematical Biosciences 156: 95-122, 1999 (with C. K. Sleeman)

A Computer Exploration of Some Properties of Non-Linear Stochastic Partnership Models for Sexually Transmitted Diseases with Stages. Mathematical Biosciences 156: 123-145, 1999. (with C. K. Sleeman)

Other Links

Invited Conference Presentations and Report on Prototype of Epidemiological Prediction Engine.

Conferences Presentations - Epidemiological Prediction Engine

Complete List of Publications

Published Research Papers pdf