The Center for Applied Mathematics at Cornell University sponsored a Special Year on Resource Management and Environmental Problem Solving in 1987-88 culminating in a Symposium on Mathematical Approaches to Resource Management and Epidemiology (October 28-30, 1987), aimed at identifying critical problems and new directions demanding mathematical attention, in these areas. The contributions of the invited speakers, recorded in this volume, describe and analyze models in areas such as cell population growth, plant population dynamics, and the spread of AIDS. They also address methodological aspects, and theoretical and interdisciplinary issues including the interplay between population biology, management, and economics, and the relationship between models and data. Throughout authors review past contributions and point to new directions.
I. Cell Population Dynamics.- Computer Models of Individual Living Cells in Cell Populations.- Synchronization of Bacterial Culture Growth.- II. Resource Management.- Biological Resource Modeling-A Brief Survey.- Mathematical Modeling in Plant Biology: Implications of Physiological Approaches for Resource Management.- Economics, Mathematical Models and Environmental Policy.- Stochastic Nonlinear Optimal Control of Populations: Computational Difficulties and Possible Solutions.- Optimal Evolution of Tree-Age Distribution for a Tree Farm.- III. Infectious Diseases.- Mathematical Models of Infectious Diseases in Multiple Populations.- Epidemic Models in Populations of Varying Size.- Stability and Thresholds in Some Age-Structured Epidemics.- Multiple Time Scales in the Dynamics of Infectious Diseases.- A Distributed-Delay Model for the Local Population Dynamics of a Parasitoid-Host System.- IV. Acquired Immunodefiency Syndrome (AIDS).- A Model for HIV Transmission and AIDS.- The Role of Long Periods of Infectiousness in the Dynamics of Acquired Immunodeficiency Syndrome (AIDS).- The Effect of Social Mixing Patterns on the Spread of AIDS.- Possible Demographic Consequences of HIV/AIDS Epidemics: II, Assuming HIV Infection Does Not Necessarily Lead to AIDS.- V. Fitting Models to Data.- Fitting Mathematical Models to Biological Data: A Review of Recent Developments.- Inverse Problems for Distributed Systems: Statistical Tests and Anova.- Small Models are Beautiful: Efficient Estimators are Even More Beautiful.- VI. Dynamic Properties of Population Models.- Inferring the Causes of Population Fluctuations.- Stochastic Growth Models: Recent Results and Open Problems.- Use Differential Geometry with the Secret Ingredient: Gradients!.- Obstacles to Modelling Large Dynamical Systems.
Series: Lecture Notes in Biomathematics
Number Of Pages: 327
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 24.41 x 16.99
Weight (kg): 0.55