Paul Waltman-- Home Page

Paul Waltman

Department of Mathematics and Computer Science
Emory University
Atlanta, GA 30322, USA
Email: waltman@emory.edu

Education

B.S., St. Louis University, 1952
M.A., (Philosophy) Baylor University, 1954
M.A., (Mathematics) University of Missouri, 1960
Ph.D., University of Missouri, 1962 (with W.R. Utz)

Professional Experience

USAF, 1952-57

Staff Member, MIT Lincoln Laboratory, 1957-58

Staff Member, MITRE Corporation, 1962 (Summers 1959 and 1961)

Staff Member, Sandia National Laboratory, 1963-1965

University of Iowa

Assistant Professor, 1965-1966,
Associate Professor, 1966-1968,
Professor, 1968-1983

Emory University.

Professor 1983-2002,
Chairman, 1983-1986
Professor Emeritus 2002-

Visiting Member, Courant Institute, 1969-1970

Visiting Professor

University of Alberta, Spring 1973
Arizona State University, 1978-1979
University of Utah, Spring 1981
University of Southern California, 1981-1982

Books

The Theory of the Chemostat: Dynamics of Microbial Competition, Cambridge University Press, 1994 (with Hal L. Smith). Japanese Language Edition, 2004
A Second Course in Elementary Differential Equations, Academic Press, 1986. Reprinted, Dover Publications, 2004.
Competition Models in Population Biology, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 45, SIAM, 1983.
Deterministic Threshold Models in the Theory of Epidemics, Springer Lecture Notes in Biomathematics, vol. 1, Heidelberg, 1974.
Nonlinear Two Point Boundary Value Problems, Academic Press, 1968 (with P. Bailey and L.F. Shampine).

Most Recent Journal Articles

(For a complete list with links click here . Links are operative only if your institution subscribes to the web of science. Full text is journal subscription dependent.)
A survey of mathematical models of competition with an inhibitor, Mathematical Biosciences, 187 (2004), 53-91 (with S. B. Hsu) pdf
Divergence criteria for generic planar systems, SIAM J. Applied Mathematics, 64 (2004) 81-93 (with S.S. Pilyugin) pdf
Multiple limit cycles in the chemostat with variable yield, Mathematical Biosciences 182 (2003), 151-166 (with S.S. Pilyugin) pdf
Did something change? Thresholds in population models, in Trends in Nonlinear Analysis, M. Kirkilonis, S. Kroemker, R. Rannacer, F. Tomi, Eds, Springer-Verlag, 2002 (with F. Hoppensteadt) pdf
A mathematical model of a biological arms race with a dangerous prey, J. Theoretical Biology 218 (2002), 55-70 (with J. Braselton and L. Braselton) pdf
A model of the effect of anti-competitor toxins on plasmid-bearing, plasmid-free competition, Taiwanese J. Mathematics 6 (2002), 135-155 (with S.B. Hsu) pdf
A competition model with dynamically allocated inhibitor production, Mathematical Biosciences 173 (2001), 55-84 (with J. P. Braselton) pdf
Competition in the presence of a lethal external inhibitor, Mathematical Biosciences 167 (2000), 177-199 (with S.B. Hsu and Y-S. Li)
Competition in the periodic gradostat, Nonlinear Analysis, Real World Applications 1 (2000) 177-188 (with H. L. Smith)
Competition in the unstirred chemostat with periodic input and washout, SIAM Journal on Applied Mathematics 59 (1999), 1157-1177 (with S.S. Pilyugin)

The simple chemostat with wall growth, SIAM Journal on Applied Mathematics 59 (1999), 1552-1576 (with S.S. Pilyugin)

Growth in the unstirred chemostat with different diffusion rates, Fields Institute Communications, 21 (1999), 131-142 (with Le Dung and H. L. Smith) pdf

Perturbation of a globally stable steady state, Proceedings of the American Mathematical Society, 127 (1999), 447-453 (with H. L. Smith)

Most Cited Journal Articles

Mathematical theory for single nutrient competition in continuous cultures of microorganisms, SIAM J. Applied Math. 32 (1977), 266-383 (with S.B. Hsu and S. Hubbell) pdf

Uniformly persistent systems, Proc. Am. Math. Soc . 96 (1986), 425-430 (with G. Butler and H.I. Freedman) pdf

Persistence in models of three interacting predator-prey populations, Math. Biosciences 68 (1984) 213-231 (with H. I. Freedman) pdf

Singular nonlinear boundary value problems for second order ordinary differential equations, J. Differential Equations 79 (1989), 62-78 (with J. A. Gatica and V. Oliker) pdf

Persistence in dynamical systems, J. Differential Equations 63 (1986), 255-263 (with G. Butler) pdf

Persistence in infinite dimensional systems, SIAM J. Math. Analysis 20 (1989), 388-395 (with J. K. Hale) pdf

Ph.D. Theses Directed

R. Grimmer, Almost Autonomous Differential Equations, 1967

J. Heidel, Qualitative Behavior of Solutions of Nonlinear Third Order Differential Equations, 1967

K. Swick, Stability and Boundedness Theorems for Third and Fourth Order Nonlinear Differential Equations, 1967

R. Schlunt, Some Boundary Value Problems for Nonlinear Second Order Differential Equations, 1968

R. Fennell, Some Boundary Value Problems for Functional Differential Equations, 1969

S.B. Hsu, A Mathematical Analysis of Competition for a Single Resource, 1976

H. L. Smith, On Periodic Solutions of Delay Integral Equations Modeling Epidemics and Population Growth, 1976

S. Merrill, A Mathematical Model of B-cell Stimulation and Humoral Immune Response, 1977

W. Grasman, Periodic Solutions of Autonomous Differential Equations in Higher Dimensional Spaces, 1977

K. Beck, Mathematical Models of Population Interactions in Biology, 1980

G. Gersdorff, Singular Nonlinear Second Order Boundary Value Problems, 1991

S. Ellermeyer, Delayed Growth Response in Models of Microbial Growth and Competition in Continuous Culture, 1991

R. Pennington, A Risk Based Model of the Effect of Cofactors on the Spread of the Acquired Immunodeficiency Syndrome, 1993

S. Pilyugin, Two Models of a Chemostat, 1997

Paul Waltman

Education

Professional Experience

Books

Most Recent Journal Articles

Most Cited Journal Articles

Ph.D. Theses Directed