American Institute of Mathematical Sciences

Advanced
March  2016, 21(2): i-ii. doi: 10.3934/dcdsb.2016.21.2i

Special issue dedicated to the memory of Paul Waltman

Sze-Bi Hsu 1, , Hal L. Smith 2, and  Xiaoqiang Zhao 3,

1. 

Department of Mathematics, National Tsing Hua University, National Center of Theoretical Science, Hsinchu 300
2. 

School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287-1804
3. 

Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL A1C 5S7, Canada

Published  November 2015

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.

For more information please click the “Full Text” above.
Citation: Sze-Bi Hsu, Hal L. Smith, Xiaoqiang Zhao. Special issue dedicated to the memory of Paul Waltman. Discrete & Continuous Dynamical Systems - B, 2016, 21 (2) : i-ii. doi: 10.3934/dcdsb.2016.21.2i
References:
[1]

P. B. Bailey, L. F. Shampine and P. Waltman, Nonlinear two Point Boundary Value Problem,, Math. in Science and Engineering, (1968).   Google Scholar

[2]

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

[3]

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

[4]

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

[5]

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

[6]

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.  doi: 10.1137/0132030.  Google Scholar

[7]

P. Waltman, A brief survey of persistence in dynamical systems,, Delay differential equations and dynamical systems (Claremont, (1990), 31.  doi: 10.1007/BFb0083477.  Google Scholar

[8]

P. Waltman, Deterministic Threshold Models in the Theory of Epidemics,, Lecture Notes in Biomathematics, (1974).   Google Scholar

[9]

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

[10]

P. Waltman, Competition Models in Population Biology,, CBMS-NSF Regional Conference Series in Applied Mathematics, (1983).  doi: 10.1137/1.9781611970258.  Google Scholar

show all references

References:
[1]

P. B. Bailey, L. F. Shampine and P. Waltman, Nonlinear two Point Boundary Value Problem,, Math. in Science and Engineering, (1968).   Google Scholar

[2]

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

[3]

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

[4]

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

[5]

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

[6]

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.  doi: 10.1137/0132030.  Google Scholar

[7]

P. Waltman, A brief survey of persistence in dynamical systems,, Delay differential equations and dynamical systems (Claremont, (1990), 31.  doi: 10.1007/BFb0083477.  Google Scholar

[8]

P. Waltman, Deterministic Threshold Models in the Theory of Epidemics,, Lecture Notes in Biomathematics, (1974).   Google Scholar

[9]

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

[10]

P. Waltman, Competition Models in Population Biology,, CBMS-NSF Regional Conference Series in Applied Mathematics, (1983).  doi: 10.1137/1.9781611970258.  Google Scholar

[1]

Tomás Caraballo Garrido, Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero, Michael Zgurovsky. Preface to the special issue "Dynamics and control in distributed systems: Dedicated to the memory of Valery S. Melnik (1952-2007)". Discrete & Continuous Dynamical Systems - B, 2019, 24 (3) : ⅰ-ⅴ. doi: 10.3934/dcdsb.20193i
[2]

Angelo Favini, Genni Fragnelli, Luca Lorenzi. Preface to the special issue in memory of Alfredo Lorenzi. Discrete & Continuous Dynamical Systems - S, 2016, 9 (3) : i-ii. doi: 10.3934/dcdss.201603i
[3]

Pierluigi Colli, Gianni Gilardi, Dietmar Hömberg, Pavel Krejčí, Elisabetta Rocca. Preface: Special issue dedicated to Jürgen Sprekels on the occasion of his 65th birthday. Discrete & Continuous Dynamical Systems - A, 2015, 35 (6) : i-ii. doi: 10.3934/dcds.2015.35.6i
[4]

Zalman Balanov, Wiesław Krawcewicz, Jianshe Yu. Preface: Special issue of DCDS-S dedicated to the 70th birthday of Norman Dancer. Discrete & Continuous Dynamical Systems - S, 2019, 12 (7) : ⅰ-ⅱ. doi: 10.3934/dcdss.20197i
[5]

Adrian Constantin, Joachim Escher. Introduction to the special issue on hydrodynamic model equations. Communications on Pure & Applied Analysis, 2012, 11 (4) : i-iii. doi: 10.3934/cpaa.2012.11.4i
[6]

Rinaldo M. Colombo, Kenneth H. Karlsen, Frédéric Lagoutière, Andrea Marson. Special issue on contemporary topics in conservation laws. Networks & Heterogeneous Media, 2016, 11 (2) : i-ii. doi: 10.3934/nhm.2016.11.2i
[7]

Amina Eladdadi, Noura Yousfi, Abdessamad Tridane. Preface: Special issue on cancer modeling, analysis and control. Discrete & Continuous Dynamical Systems - B, 2013, 18 (4) : i-iii. doi: 10.3934/dcdsb.2013.18.4i
[8]

Andrea L. Bertozzi. Preface to special issue on mathematics of social systems. Discrete & Continuous Dynamical Systems - B, 2014, 19 (5) : i-v. doi: 10.3934/dcdsb.2014.19.5i
[9]

Alberto D'Onofrio, Paola Cerrai, Piero Manfredi. Special issue on Erice ‘MathCompEpi 2015’ Proceedings. Mathematical Biosciences & Engineering, 2018, 14 (1) : i-iv. doi: 10.3934/mbe.201801i
[10]

Stefan Siegmund, Petr Stehlík. Preface: Special issue on dynamical systems on graphs. Discrete & Continuous Dynamical Systems - B, 2018, 23 (5) : ⅰ-ⅲ. doi: 10.3934/dcdsb.201805i
[11]

Joseph Geunes, Panos M. Pardalos. Introduction to the Special Issue on Supply Chain Optimization. Journal of Industrial & Management Optimization, 2007, 3 (1) : i-ii. doi: 10.3934/jimo.2007.3.1i
[12]

Pierre Degond, Gadi Fibich, Benedetto Piccoli, Eitan Tadmor. Special issue on modeling and control in social dynamics. Networks & Heterogeneous Media, 2015, 10 (3) : i-ii. doi: 10.3934/nhm.2015.10.3i
[13]

Rinaldo M. Colombo, Kenneth H. Karlsen, Frédéric Lagoutière, Andrea Marson. Special issue on contemporary topics in conservation laws. Networks & Heterogeneous Media, 2016, 11 (1) : i-ii. doi: 10.3934/nhm.2016.11.1i
[14]

Monique Chyba, Benedetto Piccoli. Special issue on mathematical methods in systems biology. Networks & Heterogeneous Media, 2019, 14 (1) : ⅰ-ⅱ. doi: 10.3934/nhm.20191i
[15]

Michael Barnsley, James Keesling, Mrinal Kanti Roychowdhury. Special issue on fractal geometry, dynamical systems, and their applications. Discrete & Continuous Dynamical Systems - S, 2019, 12 (8) : ⅰ-ⅰ. doi: 10.3934/dcdss.201908i
[16]

Marius Tucsnak. Preface to the special issue on control of infinite dimensional systems. Mathematical Control & Related Fields, 2019, 9 (4) : ⅰ-ⅱ. doi: 10.3934/mcrf.2019042
[17]

Elena Celledoni, Robert I. McLachlan. Preface Special issue in honor of Reinout Quispel. Journal of Computational Dynamics, 2019, 6 (2) : ⅰ-ⅴ. doi: 10.3934/jcd.2019007
[18]

Josef Hofbauer, Rida Laraki, Jérôme Renault. Preface: Special Issue in Honor of the 60th Birthday of Sylvain Sorin. Journal of Dynamics & Games, 2014, 1 (3) : i-iv. doi: 10.3934/jdg.2014.1.3i
[19]

Yang Yu. Introduction: Special issue on computational intelligence methods for big data and information analytics. Big Data & Information Analytics, 2017, 2 (1) : i-ii. doi: 10.3934/bdia.201701i
[20]

Benedetto Piccoli. Special issue from the launching meeting of networks and heterogeneous media. Networks & Heterogeneous Media, 2006, 1 (4) : i-ii. doi: 10.3934/nhm.2006.1.4i

2018 Impact Factor: 1.008

Tools

Metrics

  • PDF downloads (13)
  • HTML views (0)
  • Cited by (0)

Other articles
by authors

[Back to Top]

Copyright © 2019 American Institute of Mathematical Sciences