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2013, 10(5&6): xxv-xxvii. doi: 10.3934/mbe.2013.10.5xxv

Preface to Special Issue in Honor of Carlos Castillo-Chavez

Simon A. Levin 1,

1. 

Department of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ 08544

Published  August 2013

A little more than a quarter-century ago, I received an inquiry from a young Assistant Professor of Applied Mathematics at the University of Tulsa, the honoree of this volume, Carlos Castillo-Chavez. Though he was well situated in a faculty job, he was not satisfied: He was interested in mathematical biology, having written an excellent thesis in population biology with Fred Brauer at Wisconsin entitled Linear and Nonlinear Deterministic Character-Dependent Models with Time Delay in Population Dynamics. But that success had only whetted his appetite to become more deeply embedded in biology, and he was prepared to give up his faculty job to start a postdoctoral fellowship in ecology. It is always difficult to read in such letters what potential exists in the author; but there was something about what Carlos wrote, the obvious sacrifice he was prepared to make, and my regard for Fred Brauer that convinced me that I must meet this fellow. We did meet, for lunch in an LA restaurant, and the qualities that have led to his remarkable career were immediately obvious. I resolved on the spot to make sure he joined our group. Carlos arrived at Cornell shortly thereafter, and did not leave for nearly twenty years.

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Citation: Simon A. Levin. Preface to Special Issue in Honor of Carlos Castillo-Chavez. Mathematical Biosciences & Engineering, 2013, 10 (5&6) : xxv-xxvii. doi: 10.3934/mbe.2013.10.5xxv
References:
[1]

F. Brauer and C. Castillo-Chavez, "Mathematical Models in Population Biology and Epidemiology," Texts in Applied Mathematics, 40, Springer-Verlag, New York, 2001.

[2]

S. Busenberg and C. Castillo-Chavez, A general solution of the problem of mixing subpopulations and its application to risk-structured and age-structured models for the spread of AIDS. IMA J. Math. Appl. Med. and Biol., 8 (1991), 1-30. doi: 10.1093/imammb/8.1.1.

[3]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 1. Single population models, J. Math. Biol., 27 (1989), 373-398. doi: 10.1007/BF00290636.

[4]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 2. Multiple group models, in "Mathematical and Statistical Approaches to AIDS Epidemiology" (ed. C. Castillo-Chavez), Lecture Notes in Biomathematics, Vol. 83, Springer, Berlin, (1989), 200-217. doi: 10.1007/978-3-642-93454-4_9.

[5]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus, Applied Math. Letters, 2 (1989), 327-331.

[6]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, The role of long periods of infectiousness in the dynamics of acquired immunodeficiency syndrome (AIDS), in "Mathematical Approaches to Problems in Resource Management and Epidemiology" (eds. C. Castillo-Chavez, S. A. Levin and C. Shoemaker), Lecture Notes in Biomathematics, Vol 81, Springer, Berlin, (1989), 177-189. doi: 10.1007/978-3-642-46693-9_14.

[7]

C. Castillo-Chavez, K. Cooke and S. A. Levin, On the modelling of epidemics, in "High Performance Computing" (eds. J.-L. Delhaye and E. Gelenbe), North-Holland, Amsterdam, (1989), 389-402.

[8]

C. Castillo-Chavez, D. Grünbaum and S. A. Levin, Designing computer models of the spread of HIV (Human Immunodeficiency Virus) in "Newsletter of the Center for Theory and Simulation in Science and Engineering," Forefronts, 3, Cornell University, Ithaca, New York, (1987), 3-6.

[9]

C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin and W.-M. Liu, Cross-immunity in the dynamics of homogeneous and heterogeneous populations, in "Mathematical Ecology. Proc. of the Autumn Course Research Seminars, Trieste 1986" (eds. T. G. Hallam, L. J. Gross and S. A. Levin), World Scientific Publishing Co., Singapore, (1988), 303-316.

[10]

C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin and W.-M. Liu, Epidemiological models with age structure, proportionate mixing, and cross-immunity, J. Mathematical Biology, 27 (1989), 233-258. doi: 10.1007/BF00275810.

[11]

C. Castillo-Chavez, S. A. Levin and F. Gould, Physiological and behavioral adaptation to varying environments: A mathematical model, Evolution, 42 (1988), 986-994.

[12]

C. Castillo-Chavez, S. A. Levin and C. Shoemaker, eds., "Mathematical Approaches to Problems in Resource Management and Epidemiology," Lecture Notes in Biomathematics, Vol. 81, Springer-Verlag, Berlin, 1989. doi: 10.1007/978-3-642-46693-9.

[13]

J. Lin, V. Andreasen and S. A. Levin, Dynamics of influenza A drift: The linear three-strain model, Mathematical Biosciences, 162 (1999), 33-51. doi: 10.1016/S0025-5564(99)00042-5.

[14]

D. Schenzle, Control of virus transmission in age-structured populations, in "Mathematics in Biology and Medicine" (eds. V. Capasso, E. Grosso and S. L. Paveri-Fontana), Lecture Notes in Biomathematics, 57, Springer-Verlag, Berlin, (1985), 171-178. doi: 10.1007/978-3-642-93287-8_24.

show all references

References:
[1]

F. Brauer and C. Castillo-Chavez, "Mathematical Models in Population Biology and Epidemiology," Texts in Applied Mathematics, 40, Springer-Verlag, New York, 2001.

[2]

S. Busenberg and C. Castillo-Chavez, A general solution of the problem of mixing subpopulations and its application to risk-structured and age-structured models for the spread of AIDS. IMA J. Math. Appl. Med. and Biol., 8 (1991), 1-30. doi: 10.1093/imammb/8.1.1.

[3]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 1. Single population models, J. Math. Biol., 27 (1989), 373-398. doi: 10.1007/BF00290636.

[4]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, On the role of long incubation periods in the dynamics of acquired immunodeficiency syndrome (AIDS). Part 2. Multiple group models, in "Mathematical and Statistical Approaches to AIDS Epidemiology" (ed. C. Castillo-Chavez), Lecture Notes in Biomathematics, Vol. 83, Springer, Berlin, (1989), 200-217. doi: 10.1007/978-3-642-93454-4_9.

[5]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus, Applied Math. Letters, 2 (1989), 327-331.

[6]

C. Castillo-Chavez, K. Cooke, W. Huang and S. A. Levin, The role of long periods of infectiousness in the dynamics of acquired immunodeficiency syndrome (AIDS), in "Mathematical Approaches to Problems in Resource Management and Epidemiology" (eds. C. Castillo-Chavez, S. A. Levin and C. Shoemaker), Lecture Notes in Biomathematics, Vol 81, Springer, Berlin, (1989), 177-189. doi: 10.1007/978-3-642-46693-9_14.

[7]

C. Castillo-Chavez, K. Cooke and S. A. Levin, On the modelling of epidemics, in "High Performance Computing" (eds. J.-L. Delhaye and E. Gelenbe), North-Holland, Amsterdam, (1989), 389-402.

[8]

C. Castillo-Chavez, D. Grünbaum and S. A. Levin, Designing computer models of the spread of HIV (Human Immunodeficiency Virus) in "Newsletter of the Center for Theory and Simulation in Science and Engineering," Forefronts, 3, Cornell University, Ithaca, New York, (1987), 3-6.

[9]

C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin and W.-M. Liu, Cross-immunity in the dynamics of homogeneous and heterogeneous populations, in "Mathematical Ecology. Proc. of the Autumn Course Research Seminars, Trieste 1986" (eds. T. G. Hallam, L. J. Gross and S. A. Levin), World Scientific Publishing Co., Singapore, (1988), 303-316.

[10]

C. Castillo-Chavez, H. W. Hethcote, V. Andreasen, S. A. Levin and W.-M. Liu, Epidemiological models with age structure, proportionate mixing, and cross-immunity, J. Mathematical Biology, 27 (1989), 233-258. doi: 10.1007/BF00275810.

[11]

C. Castillo-Chavez, S. A. Levin and F. Gould, Physiological and behavioral adaptation to varying environments: A mathematical model, Evolution, 42 (1988), 986-994.

[12]

C. Castillo-Chavez, S. A. Levin and C. Shoemaker, eds., "Mathematical Approaches to Problems in Resource Management and Epidemiology," Lecture Notes in Biomathematics, Vol. 81, Springer-Verlag, Berlin, 1989. doi: 10.1007/978-3-642-46693-9.

[13]

J. Lin, V. Andreasen and S. A. Levin, Dynamics of influenza A drift: The linear three-strain model, Mathematical Biosciences, 162 (1999), 33-51. doi: 10.1016/S0025-5564(99)00042-5.

[14]

D. Schenzle, Control of virus transmission in age-structured populations, in "Mathematics in Biology and Medicine" (eds. V. Capasso, E. Grosso and S. L. Paveri-Fontana), Lecture Notes in Biomathematics, 57, Springer-Verlag, Berlin, (1985), 171-178. doi: 10.1007/978-3-642-93287-8_24.

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