Background
Ludwig, Donald Alfred was born on November 14, 1933 in New York City. Son of Daniel and Helen (Herber) Ludwig. emigrated to Canada, 1974.
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Stochastic Population Theories (Lecture Notes in Biomathematics)
(These notes serve as an introduction to stochastic theori...)
These notes serve as an introduction to stochastic theories which are useful in population biology; they are based on a course given at the Courant Institute, New York, in the Spring of 1974. In order to make the material. accessible to a wide audience, it is assumed that the reader has only a slight acquaintance with probability theory and differential equations. The more sophisticated topics, such as the qualitative behavior of nonlinear models, are approached through a succession of simpler problems. Emphasis is placed upon intuitive interpretations, rather than upon formal proofs. In most cases, the reader is referred elsewhere for a rigorous development. On the other hand, an attempt has been made to treat simple, useful models in some detail. Thus these notes complement the existing mathematical literature, and there appears to be little duplication of existing works. The authors are indebted to Miss Jeanette Figueroa for her beautiful and speedy typing of this work. The research was supported by the National Science Foundation under Grant No. GP-32996X3. CONTENTS I. LINEAR MODELS •••••. •••••••••••••••. . ••••••••••••••••••••••••••••••••••••••• 1 1. The Poisson Process ••••••••••••••••••••••••••. ••. •••••••••••. •••••••••• 1 2. Birth and Death Processes 5 2. 1 Linear Birth Process 5 2. 2 Linear Birth and Death Process •••••. ••••••. ••••••••••••••. •••••••• 7 2. 3 Birth and Death with Carrying Capacity ••••••••. •••. ••••••. ••••••. • 16 3. Branching Processes •••••••••••••••••••. •••••••. ••••••••. ••••••••••••••• 20 3. 1 Continuous Time . •••. ••••••••••. •••••••••••••••••••. ••••••••. ••••.
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Donald Alfred Ludwig
Edit ProfileEducation
Bachelor of Music, New York University, 1954; Master of Science, New York University, 1957; Doctor of Philosophy, New York University, 1959.
Career
Fine instructor, Priceton U., 1960-1961; assistant professor, University of California-Berkeley, 1961-1964; from assistant professor to professor, New York University, 1964-1974; professor mathematics, U.B.C., Vancouver, since 1974.
Achievements
Works
book
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Stochastic Population Theories (Lecture Notes in Biomathematics)
(These notes serve as an introduction to stochastic theori...)
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Stochastic Population Theories (Lecture Notes in Biomathematics)
Membership
Fellow Royal Society Canada.
Connections
Married W. Doris Stewart, November 24, 1953 (divorced). Children: Laurence, Stephen. Married Shirley Graystone, December 17, 1986.
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Born
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Nationality
American