Differential equations models in biology, epidemiology and ecology : proceedings of a Conference held in Claremont California, January 13-16, 1990

S. Busenberg, M. Martelli (Eds.)

The meeting explored current directions of research in population problems, epidemiology and ecology and celebrated the contributions of Kenneth Cooke to this field on the occasion of his 65th birthday. The volume contains a keynote paper by Simon Levin where he raises and discusses the question of how much detail is relevant in a variety of efforts to model and analyze biological phenomena. The research contributions which form the bulk of the volume are collected in three sections titled: Mathematical Biology, Epidemiology and Ecology and Population Dynamics. These articles contain original results which individually extend their particular research topics. In each of the sections, the collection of expert contributions serve to delineate current research frontiers and point out the major modern research trends of the field. A companion volume in the mathematics series (LN in Mathematics, Vol. 1475) contains contributions on delay differential equations and related dynamical systems.

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[目次]

  • Mathematical Biology.- The Problem of Relevant Detail.- Lifespans in Population Models: Using Time Delays.- Convergence to Equilibria in General Models of Unilingual-Bilingual Interactions.- The Sherman-Rinzel-Keizer Model for Bursting Electrical Activity in the Pancreatic ??-Cell.- Epidemiology.- Models for the Spread of Universally Fatal Diseases II.- Nonexistence of Periodic Solutions for a Class of Epidemiological Models.- On the Solution of the Two-Sex Mixing Problem.- Modelling the Effects of Screening in HIV Transmission Dynamics.- An S?E?I Epidemic Model with Varying Population Size.- Stability Change of the Endemic Equilibrium in Age-Structured Models for the Spread of S-I-R Type Infectious Diseases.- Ecology and Population Dynamics.- A Mathematical Model for the Dynamics of a Phytoplankton Population.- Some Delay Models for Juvenile vs. Adult Competition.- McKendrick Von Foerster Models for Patch Dynamics.- Generic Failure of Persistence and Equilibrium Coexistence in a Model of m-species Competition in an n-vessel Gradostat when m > n.- Boundedness of Solutions in Neutral Delay Predator-Prey and Competition Systems.- Some Examples of Nonstationary Populations of Constant Size.- Coexistence in Competition-Diffusion Systems.- Population Interactions with Growth Rates Dependent on Weighted Densities.- Global Stability in a Population Model with Dispersal and Stage Structure.

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この本の情報

書名 Differential equations models in biology, epidemiology and ecology : proceedings of a Conference held in Claremont California, January 13-16, 1990
著作者等 Busenberg, Stavros N
International Conference on Differential Equations and Applications to Biology and Population Dynamics
Martelli, M.
Martelli Mario
Busenberg Stavros N.
シリーズ名 Lecture notes in biomathematics
出版元 Springer-Verlag
刊行年月 c1991
版表示 Softcover reprint of the original 1st ed. 1991
ページ数 ix, 267 p.
大きさ 24 cm
ISBN 3540542833
0387542833
NCID BA13373252
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言語 英語
出版国 ドイツ
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