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Differential equations and applications in ecology, epidemics, and population problems
proceedings of a Conference on Differential Equations and Applications in Ecology, Epidemnics [sic], and Population Problems, held in Claremont, California, January 10-11, 1981
Conference on Differential Equations and Applications in Ecology, Epidemics, and Population Problems (1981 : Claremont, Calif.)
1 online resource (xv, 359 pages) : illustrations
Front Cover; Differential Equations and Applications in Ecology, Epidemics, and Population Problems; Copyright Page; Table of Contents; Contributors; Preface; Acknowledgments; CHAPTER 1. MODELS OF POPULATION DISPERSAL; I. INTRODUCTION; II. DIFFUSION MODELS; III. NON-UNIFORM STATIONARY SOLUTIONS IN MODELS OF DISPERSAL AND GROWTH; IV. GENERALIZATIONS AND CONCLUSIONS; ACKNOWLEDGMENTS; REFERENCES; CHAPTER 2. DIFFUSION AND HEREDITARY EFFECTS IN A CLASS OF POPULATION MODELS; I. INTRODUCTION; II. THE MODEL AND ITS EQUILIBRIA; III. ASYMPTOTIC BEHAVIOR; IV. A NUMERICAL SIMULATION; V. SUMMARY
CHAPTER 6. PERIODICITY AND STABILITY IN EPIDEMIC MODELS: A SURVEYI. INTRODUCTION; II. PRELIMINARIES ON EPIDEMIC MODELING; III. MODELS OF DISEASES WITHOUT IMMUNITY; IV. MODELS OF DISEASES WITH PERMANENT IMMUNITY; V. MODELS FOR DISEASES WITH TEMPORARY IMMUNITY; REFERENCES; CHAPTER 7.A FEW OBSERVATIONS ON S-I-R EPIDEMICS; I. INTRODUCTION; II. EPIDEMICS WITH TWO INFECTIVE CLASSES; III. GENERALIZED CONTACT MODELS; REFERENCES; CHAPTER 8. EVALUATION OF A GONORRHEA VACCINE AND OTHER GONORRHEA CONTROL STRATEGIES BASED ON COMPUTER SIMULATION MODELING
CHAPTER 9. ON THE OPTIMAL HARVESTING OF AGE-STRUCTURED POPULATIONSINTRODUCTION; I.A GENERAL FORMULATION OF THE OPTIMAL HARVESTING PROBLEM; II. AGE INDEPENDENT HARVESTING EFFORT. A LINEAR BIRTH PROCESS AND A SEPARABLE DEATH PROCESS; III. THE OVERTAKING CRITERION; IV. PERSISTENT INITIAL CONDITIONS; V. SPECIAL MODELS; REFERENCES; CHAPTER 10. CONSTANT-RATE HARVESTING AND STOCKING IN PREDATOR-PREY SYSTEMS; I. INTRODUCTION; II. A MODEL FOR PREDATOR-PREY SYSTEMS; III. THE EXISTENCE OF EQUILIBRIA; IV. ASYMPTOTIC BEHAVIOR OF SOLUTIONS; V. SOME BIOLOGICAL IMPLICATIONS; REFERENCES
CHAPTER 11. MODELS OF PREDATION AND CANNIBALISM IN AGE-STRUCTURED POPULATIONSI. INTRODUCTION; II. ONE SPECIES -- CANNIBALISM; III. TWO SPECIES -- AGE-DEPENDENT PREDATION; IV. POSSIBLE ECOLOGICAL IMPLICATIONS; REFERENCES; CHAPTER 12. STABILITY AND MATURATION PERIODS IN AGE STRUCTURED POPULATIONS; I. INTRODUCTION; II. THE MODEL EQUATIONS; III. AN EXAMPLE; IV. EQUILIBRIA AND STABILITY; V. PROOFS; VI. CONCLUSIONS; REFERENCES; CHAPTER 13. EVOLUTION OF MUTUALISM BETWEEN SPECIES; I. INTRODUCTION; II. MODELS OF THE EVOLUTION OF MUTUALISM; III. ISOLATION AND OBLIGATE MUTUALISM; IV. CONCLUSIONS
edited by Stavros N. Busenberg, Kenneth L. Cooke.
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Includes bibliographical references and index.