Stochastic Population Theories (Lecture Notes in

Stochastic Population Theories (Lecture Notes in Biomathematics)

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 â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢. . â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢ 1 1. The Poisson Process â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢ 1 2. Birth and Death Processes 5 2. 1 Linear Birth Process 5 2. 2 Linear Birth and Death Process â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢ 7 2. 3 Birth and Death with Carrying Capacity â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢. â€¢ 16 3. Branching Processes â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢ 20 3. 1 Continuous Time . â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢â€¢â€¢â€¢â€¢. â€¢â€¢â€¢â€¢.
Country USA
Brand Springer
Manufacturer Springer
Binding Paperback
ItemPartNumber biography
ReleaseDate 1974-01-01
UnitCount 1
EANs 9783540070108

Country	USA
Brand	Springer
Manufacturer	Springer
Binding	Paperback
ItemPartNumber	biography
ReleaseDate	1974-01-01
UnitCount	1
EANs	9783540070108

Stochastic Population Theories (Lecture Notes in Biomathematics)

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