UID:
edocfu_9958128924502883
Format:
1 online resource (299 p.)
ISBN:
0-444-59962-2
Series Statement:
Developments in agricultural and managed-forest ecology ;
Content:
Management and Analysis of Biological Populations
Note:
Description based upon print version of record.
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Front Cover; Management and Analysis of Biological Populations; Copyright Page; Dedication; Table of Contents; Preface; Chapter 1. Introduction; 1.1. Models in ecology; 1.2. Stability concepts in ecology; 1.3. Ecological engineering; 1.4. Liapunov functions; 1.5. Differential equations and difference equations in ecosystem modelling; Selected references; Chapter 2. Optimization techniques; 2 .1 . Introduction; 2 .2 . Static optimization problems; 2 .3 . Relaxed optimization problem method; 2 .4 . Multiple objectives decision problems; 2 .5 . Continuous time optimal control
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2 .6 . Discrete time optimal controlSelected references; Chapter 3. Stability and nonvulnerability; 3.1. Introduction; 3.2. Local stability; 3.3. Finite and global stability; 3.4. Single-species models; 3.5. Exploited single-species models; 3.6. Models with unspecified parameters; 3.7. Two-species Lotka-Volterra models; 3.8. Gilpin and Ayala's competition model; 3.9. Prey-predator system with Type 2 functional response; 3.10. Nonlinear two-species models; 3.11. Region of ultimate confinement; 3.12. Nonvulnerability; 3.13. Discrete time models: local stability
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3.14. Finite and global stability in discrete time models3.15. Region of ultimate confinement and nonvulnerability; 3.16. A discrete time model of two competing species; Selected references; Chapter 4. Fisheries; 4.1. Introduction; 4.2. The logistic model; 4.3. Optimal control of the logistic model; 4.4. Stability of bionomic equilibrium; 4.5. Stock recruitment model; 4.6. Stability of a stock recruitment model; 4.7. Global stability of the Ricker model; 4.8. The Beverton-Holt model: Optimal size limit; 4.9. Optimal control of the Beverton-Holt model
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4.10. Fishery with a limited fishing season4.11. Fishery with delayed recruitment; 4.12. The Antarctic fin whale population; 4.13. Harvesting a multispecies community; Selected references; Chapter 5. Complex ecosystems; 5.1. Introduction; 5.2. Mathematical relationships between stability and complexity; 5.3. Stability of nonlinear multispecies models; 5.4. Stability of multispecies Lotka-Volterra models; 5.5. Stability of a class of nonlinear models; 5.6. Connective stability; 5.7. Nonvulnerability of nonlinear multispecies models; 5.8. Sector stability
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5.9. Population models with time delays5.10. Spatial heterogeneity in population dynamics; Selected references; Chapter 6. Management of pests and greenhouse crops; 6.1. Introduction; 6.2. Some applications of stability concepts in pest control; 6.3. Graphical analysis of a control two-species system; 6.4. Optimal control of a prey-predator system; 6.5. Optimal control of epidemics for pest control; 6.6. Optimal management of greenhouse crops; Selected references; References; Author Index; Subject Index
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English
Additional Edition:
ISBN 1-299-77381-8
Additional Edition:
ISBN 0-444-41793-1
Language:
English
