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Special issue dedicated to the memory of Paul Waltman

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  • This volume is dedicated to the memory of Paul Waltman. Many of the authors of articles contained here were participants at the NCTS International Conference on Nonlinear Dynamics with Applications to Biology held May 28-30, 2014 at National Tsing-Hua University, Hsinchu, Taiwan. The purpose of the conference was to survey new developments in nonlinear dynamics and its applications to biology and to honor the memory of Professor Paul Waltman for his influence on the development of Mathematical Biology and Dynamical Systems. Attendees at the conference included Paul's sons Fred and Dennis, many of Paul's former doctoral and post-doctoral students, many others who, although not students of Paul, nevertheless were recipients of Paul's valuable advice and council, and many colleagues from all over the world who were influenced by Paul's mathematics and by his personality. We thank the NCTS for its financial support of the conference and Dr. J.S.W. Wong for supporting the conference banquet.

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    P. B. Bailey, L. F. Shampine and P. Waltman, Nonlinear two Point Boundary Value Problem, Math. in Science and Engineering, Vol. 44, Academic Press, 1968.


    G. Butler, H. I. Freedman and P. Waltman, Uniformly persistent systems, Proc. Amer. Math. Soc., 96 (1986), 425-430.doi: 10.1090/S0002-9939-1986-0822433-4.


    G. Butler and P. Waltman, Persistence in dynamical systems, J. Diff. Eqns., 63 (1986), 255-263.doi: 10.1016/0022-0396(86)90049-5.


    J. K. Hale and P. Waltman, Persistence in infinite dimensional systems, SIAM J. Math. Anal., 20 (1989), 388-395.doi: 10.1137/0520025.


    S. R. Hansen and S. P. Hubbell, Single nutrient microbial competition: Agreement between experiment and theoretical forecast outcomes, Science, 207 (1980), 1491-1493.


    S. B. Hsu, S. P. Hubbell and P. Waltman, A mathematical theory for single nutrient competition in continuous cultures of micro-organisms, SIAM J. Appl. Math., 32 (1977), 366-383.doi: 10.1137/0132030.


    P. Waltman, A brief survey of persistence in dynamical systems, Delay differential equations and dynamical systems (Claremont, CA, 1990), 31-40, Lecture Notes in Math., 1475, Springer, Berlin, 1991.doi: 10.1007/BFb0083477.


    P. Waltman, Deterministic Threshold Models in the Theory of Epidemics, Lecture Notes in Biomathematics, Springer-Verlag, 1974.


    H. L. Smith and P. Waltman, The Theory of the Chemostat, Cambrige Univertsity Press, 1995.doi: 10.1017/CBO9780511530043.


    P. Waltman, Competition Models in Population Biology, CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 45, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, 1983.doi: 10.1137/1.9781611970258.

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