Mathematical tools for understanding infectious disease dynamics

Mathematical Tools for Understanding Infectious Disease Dynamics

Volumn , Issue , 2012, Pages 1-502

  Diekmann, Odo ^a   Heesterbeek, Hans ^a   Britton, Tom ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84924334224     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book

References (96)

1. R.M. Anderson (ed.): Population Dynamics of Infectious Diseases: Theory and Applications. Chapman & Hall, London, 1982.
2. R.M. Anderson & R.M. May: Population Biology of Infectious Diseases. Springer-Verlag, Berlin, 1982.
3. R.M. Anderson & R.M. May: Infectious Diseases of Humans: Dynamics and Control. Oxford University Press, Oxford, 1991.
4. H. Andersson & T. Britton: Stochastic Epidemic Models and their Statistical Anal-ysis. Springer-Verlag, Berlin, 2000.
5. N.J.T. Bailey: The Mathematical Theory of Infectious Diseases and its Applica- tions. Griffin, London, 1975.
6. N.J.T. Bailey: The Biomathematics of Malaria. Griffin, London, 1982.
7. M. Bartlett: Stochastic Population Models in Ecology and Epidemiology. Methuen, London, 1960.
8. N.G. Becker: Analysis of Infectious Disease Data. Chapman & Hall, London, 1989.
9. F. Brauer & C. Castillo-Chavez: Mathematical Models in Population Biology and Epidemiology. Springer-Verlag, Berlin, 2001.
10. F. Brauer, P. Van den Driessche & J. Wu (eds.): Mathematical Epidemiology. Springer-Verlag, Berlin, 2008.
11. S. Busenberg & K. Cooke: Vertically Transmitted Diseases: Models and Dynamics. Springer-Verlag, Berlin, 1993.
12. V. Capasso: Mathematical Structures of Epidemic Systems. Springer-Verlag, Berlin, 1993.
13. C. Castillo-Chavez (ed.): Mathematical Approaches for Emerging and Reemerging Infectious Diseases. Springer-Verlag, Berlin, 2002.
14. G. Chowell, J.M. Hyman, L.M.E. Bettencourt & C. Castillo-Chavez (eds.): Math-ematical and Statistical Estimation Approaches in Epidemiology. Springer- Verlag, Berlin, 2009.
15. A.D. Cliff & P. Haggett: Atlas of Disease Distributions: Analytical Approaches to Epidemiological Data. Blackwell, London, 1988.
16. D.J. Daley & J. Gani: Epidemic Modelling: An Introduction. Cambridge University Press, Cambridge, 1999.
17. C.A. Donnelly & N.M. Ferguson: Statistical Aspects of BSE and vCJD: Models for Epidemics. Chapman & Hall, London, 1999.
18. J.C. Frauenthal: Mathematical Modeling in Epidemiology. Springer-Verlag, Berlin, 1980.
19. J.-P. Gabriel, C. Lefévre & P. Picard (eds.): Stochastic Processes in Epidemic Theory. Springer-Verlag, Berlin, 1990.
20. B.T. Grenfell & A.P. Dobson (eds.): Ecology of Infectious Diseases in Natural Populations. Cambridge University Press, Cambridge, 1995.
21. A.B. Gumel & S. Lenhart (eds.): Modeling Paradigms and Analysis of Disease Transmission Models. American Mathematical Society, Providence, 2010.
22. H.W. Hethcote & J.A. Yorke: Gonorrhea Transmission Dynamics and Control. Springer-Verlag, Berlin, 1984.
23. H.W. Hethcote & J.W. Van Ark: Modelling HIV Transmission and AIDS in the United States. Springer-Verlag, Berlin, 1992.
24. F.C. Hoppensteadt: Mathematical Methods for Analysis of a Complex Disease. Courant Lecture Notes 22. American Mathematical Society, Providence, 2011.
25. P.J. Hudson, A. Rizzoli, B.T. Grenfell, J.A.P. Heesterbeek & A.P. Dobson (eds.): Ecology of Wildlife Diseases. Oxford University Press, Oxford, 2002.
26. V. Isham & G. Medley: Models for Infectious Human Diseases: Their Structure and Relation to Data. Cambridge University Press, Cambridge, 1996.
27. M.J. Keeling & P. Rohani: Modeling Infectious Diseases in Humans and Animals. Princeton University Press, 2008.
28. A. Krämer, M. Kretzschmar & K. Krickeberg: Modern Infectious Disease Epidemi- ology: Concepts, Methods, Mathematical Models and Public Health. Springer-Verlag, Berlin, 2010.
29. J. Kranz (ed.): Epidemics of Plant Diseases: Mathematical Analysis and Mod-elling. Springer-Verlag, Berlin.
30. H.A. Lauwerier: Mathematical Models of Epidemics. Mathematisch Centrum, Amsterdam, 1981.
31. Z. Ma & J. Li (eds.): Dynamic Modeling and Analysis of Epidemics. World Scienti c, Singapore, 2009.
32. Z. Ma, Y. Zhou & J. Wu (eds.): Modeling and Dynamics of Infectious Diseases. World Scienti c, Singapore, 2009.
33. C.J. Mode & C.K. Sleeman: Stochastic Processes in Epidemiology: HIV/AIDS, Other Infections and Computers. World Scienti c, Singapore, 2000.
34. D. Mollison, G. Scalia-Tomba & J.A. Jacquez (eds.): Spread of Epidemics: Stochas- tic Modeling and Data Analysis. Special issue of Math. Biosci., 107, pp. 149 { 562, 1991.
35. D. Mollison (ed.): Epidemic Models: Their Structure and Relation to Data. Cambridge University Press, Cambridge, 1995.
36. I. Nåsell: Hybrid Models of Tropical Infections. Springer-Verlag, Berlin, 1985.
37. J. Radcliffe & L. Rass: Spatial Deterministic Epidemics. Mathematical Surveys and Monographs, American Mathematical Society, Providence, 2003.
38. R. Ross: The Prevention of Malaria, 2nd edition. Churchill, London, 1911.
39. L. Sattenspiel & A. Lloyd: The Geographic Spread of Infectious Diseases: Models and Applications. Princeton University Press, 2009.
40. M.E. Scott & G. Smith: Parasitic and Infectious Diseases: Epidemiology and Ecology. Academic Press, San Diego, 1994.
41. N. Shigesada & K. Kawasaki: Biological Invasions: Theory and Practice. Oxford University Press, Oxford, 1997.
42. J.E. Van der Plank: Plant Diseases: Epidemics and Control. Academic Press, New York, 1963.
43. E. Vynnycky & R. White: An Introduction to Infectious Disease Modelling. Oxford University Press, 2010.
44. H. Caswell: Matrix Population Models. Sinauer, Massachusetts, 1989 (2nd edition, 2000).
45. J.M. Cushing: An Introduction to Structured Population Dynamics. SIAM, Philadelphia, 1998.
46. L. Edelstein-Keshet: Mathematical Models in Biology. Birkhäuser (McGraw-Hill), New York, 1988.
47. M. Gilpin & I. Hanski (eds.): Metapopulation Dynamics: Empirical and Theoret- ical Investigations. Academic Press, London, 1991.
48. I. Hanski & M. Gilpin (eds.): Metapopulation Biology: Ecology, Genetics and Evolution. Academic Press, San Diego, 1997.
49. F. Hoppensteadt: Mathematical Theories of Populations: Demographics, Genetics and Epidemics. SIAM, Philadelphia, 1975.
50. S.A. Levin, T.G. Hallam & L.J. Gross (eds.): Applied Mathematical Ecology. Springer-Verlag, Berlin, 1989.
51. J.A.J. Metz & O. Diekmann: The Dynamics of Physiologically Structured Popu- lations. Springer-Verlag, Berlin, 1986.
52. J. McGlade (ed.): Advanced Theoretical Ecology: Principles and Applications. Blackwell Science, London, 1999.
53. R.M. Nisbet & W.S.C. Gurney: Modelling Fluctuating Populations. Wiley, New York, 1982.
54. N. Shigesada & K. Kawasaki: Biological Invasions: Theory and Practice. Oxford University Press, Oxford, 1997.
55. H.R. Thieme: Mathematics in Population Biology. Princeton University Press, 2003.
56. S. Tuljapurkar & H. Caswell (eds.): Structured Population Models in Marine, Freshwater and Terrestrial Systems. Chapman & Hall, London, 1997.
57. A. Berman & R.J. Plemmons: Nonnegative Matrices in the Mathematical Sciences. Academic Press, New York, 1979.
58. M.A. Krasnosel'skij, Je.A. Lifshits & A.V. Sobolev: Positive Linear Systems: The Method of Positive Operators. Heldermann Verlag, Berlin, 1989.
59. H. Minc: Nonnegative Matrices. Wiley, New York, 1988.
60. E. Seneta: Non-negative Matrices. George Allen & Unwin, London, 1973.
61. V.I. Arnold: Ordinary Differential Equations. 2nd edition. Springer-Verlag, New York, 2006.
62. J.K. Hale: Ordinary Differential Equations. Wiley, New York, 1969.
63. J.K. Hale & H. Koçak: Dynamics and Bifurcations. Springer-Verlag, New York, 1991.
64. M. Hirsch & S. Smale: Differential Equations, Dynamical Systems and Linear Algebra. Academic Press, New York, 1974.
65. Y.A. Kuznetsov: Elements of Applied Bifurcation Theory. 2nd edition. Springer-Verlag, New York, 1998.
66. R. Courant & D. Hilbert: Methods of Mathematical Physics, Vol. II. Interscience, New York, 1962.
67. J. Dieudonné: Foundations of Modern Analysis. Academic Press, New York, 1969.
68. J.A. Jacquez: Compartmental Analysis in Biology and Medicine. 3rd edition. BioMedware, Ann Arbor, 1996.
69. A.N. Kolmogorov & S.V. Fomin: Introductory Real Analysi. Prentice-Hall, Englewood Cliffs, 1970/Dover, New York, 1975.
70. W. Rudin: Real and Complex Analysis. 2nd edition. McGraw-Hill, New York, 1974.
71. K.L. Chung: Elementary Probability Theory with Stochastic Processes. Springer- Verlag, Berlin, 1979.
72. S.N. Ethier & T.G. Kurtz: Markov Processes: Characterization and Convergence. Wiley, New York, 1986.
73. N.S. Goel & N. Richter-Dyn: Stochastic Models in Biology. Academic Press, New York, 1974.
74. G.R. Grimmett & D.R. Stirzaker: Probability and Random Processes. 3rd edition. Oxford University Press, 2001.
75. A. Gut: An Intermediate Course in Probability. 2nd edition. Springer-Verlag, New York, 2009.
76. P. Haccou, P. Jagers & V.A. Vatutin: Branching Processes - Variation, Growth, and Extinction of Populations. Cambridge University Press, 2005.
77. T.E. Harris: The Theory of Branching Processes. Springer-Verlag, Berlin, 1963.
78. P. Jagers: Branching Processes with Biological Applications. Wiley, London, 1975.
79. I. Karatzas & S.E. Shreve: Brownian Motion and Stochastic Calculus. Springer- Verlag, Berlin, 1991.
80. T.G. Kurtz: Approximation of Population Processes. SIAM, Philadelphia, 1981.
81. T.M. Liggett: Continuous Time Markov Processes: An Introduction. American Mathematical Society, Providence, 2010.
82. D. Ludwig: Stochastic Population Theories. Springer-Verlag, Berlin, 1974.
83. C.J. Mode: Multitype Branching Processes, Theory and Applications. Elsevier, New York, 1971.
84. E. Renshaw: Stochastic Population Processes: Analysis, Approximations, Simula-tions. Oxford University Press, 2011.
85. S.M. Ross: Introduction to Probability Models. 10th edition. Academic Press, 2009.
86. S.M. Ross: A First Course in Probability. 8th edition. Pearson publishing, 2010.
87. H.M. Taylor & S. Karlin: An Introduction to Stochastic Modeling. Academic Press, Orlando, 1984.
88. P.K. Andersen, O. Borgan, R.D. Gill & N. Keiding: Statistical Models Based on Counting Processes. Springer, New York, 1993.
89. N. Balakrishnan & V.B. Nevzorov: A Primer on Statistical Distributions. Wiley, Hoboken, 2003.
90. G. Casella & R. L. Berger: Statistical Inference. Duxburry, 2002.
91. W.R. Gilks, S. Richardson & D.J. Spiegelhalter (eds): Markov chain Monte Carlo in practice. Chapman and Hall, London, 1996.
92. J. Lindsey: Statistical Analysis of Stochastic Processes in Time. Cambridge University Press, 2004.
93. Y. Pawitan In All Likelihood: Statistical Modeling and Inference Using Likelihood. Oxford University Press, 2001.
94. J. Rice: Mathematical Statistics and Data Analysis. 2nd edition. Thomson Learning, 2006.
95. B. Bollobás: Random graphs. 2nd edition. Cambridge University Press, 2001.
96. R. Durrett: Random Graph Dynamics. Cambridge University Press, 2006.