UID:
almafu_9958126602602883
Format:
1 online resource (376 p.)
ISBN:
1-299-36326-1
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0-323-15342-9
Content:
Differential Equations and Applications in Ecology, Epidemics, and Population Problems
Note:
Description based upon print version of record.
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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
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REFERENCESCHAPTER 3.A GENETICS MODEL WITH AGE DEPENDENCE AND SPATIAL DIFFUSION; I. INTRODUCTION; II. THE GENETICS MODEL; III. THE RESULTS; IV. THE SPATIALLY HOMOGENEOUS CASE; REFERENCES; CHAPTER 4. PREDATOR-PREY SYSTEMS WITH DIFFUSION IN NON-HOMOGENEOUS TERRAINS; I. INTRODUCTION; II. AN INVARIANT REGION FOR A REACTION-DIFFUSION SYSTEM ON A NON-HOMOGENEOUS TERRAIN; III. A PERTURBATION RESULT IN THE CASE OF SMALL DIFFUSION; IV. SOME CONCLUDING REMARKS; REFERENCES; CHAPTER 5. DIFFUSE MULTISPECIES COMPETITION: SEQUENCE DEPENDENT MULTIPLE DOMAINS AND DOMINO COLLAPSE; INTRODUCTION; REFERENCES
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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
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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
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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
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REFERENCES
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English
Additional Edition:
ISBN 0-12-148360-6
Language:
English
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