Electronic Journal of Differential Equations, Conference 12, 2005.

Proceedings of the International Conference Differential Equations and Applications in Mathematical Biology, July 18 - 23, 2004.


The conference was organized by the University of Calgary (Calgary, Alberta, Canada) and Malaspina University College. It was held in the framework of PIMS Period of Concentration in Mathematical Ecology and Evolution (2003-2005). The conference brought together a wide international forum of experts in mathematical biology and ecology, delay, integral, differential and difference equations, population dynamics, control and optimization, and numerical methods for dynamical systems. The geography of the conference involved participants from Europe (Netherlands, UK, France, Norway, Greece, Hungary, Italy), Asia (Israel, Iran, Saudi Arabia, Turkey), Africa (Mozambique), North America (US, Canada) and New Zealand (overall, 14 countries); in Canada - from the East Coast (Dalhousie University, Halifax, NS) to the West Coast (Vancouver Island, Nanaimo, Malaspina University College), including Alberta (U of A and U of C), Manitoba and Quebec.

The opening ceremonies included greetings on the part of the Malaspina University College and Math Department in MUC ( Ian Bailey, chair), of the Scientific Committee (Fred Brauer, University of British Columbia, Canada), the Pacific Institute for the Mathematical Sciences (Thomas Hillen, University of Alberta, Edmonton, Canada, coordinator of PIMS Coordinated Research Group in Mathematical Ecology and Evolution) and Organizing Committee ( Elena Braverman, coordinator, University of Calgary, Calgary, Canada), which was followed by 3 plenary lectures: Fred Brauer "Infection age-dependent disease models" Thomas Hillen "Dynamical systems with quiescent or resting states"
Herb I. Freedman " Models of agriculture-industry interactions"

There were 2 parallel sessions in the framework of the conference:
The session on Mathematical Biology, in addition to three plenary talks during the first day of the conference, included two additional plenary talks Odo Diekmann (Utrecht University, Utrecht, the Netherlands) "Dynamics of semelparous populations" Jon T. Schnute (Pacific Biological Station, Nanaimo, BC, Canada) "Mathematics and fisheries: match or mismatch?" This session also include 30-minutes talks:
John C. Clements (Dalhousie University, Halifax, NS, Canada) "Simulation and localization of cardiac dysfunction: from mathematical models to clinical applications"
Ehud Meron (Ben Gurion University, Sede Boker, Israel) "Habitats in drylands as emergent pattern formation phenomena"
B.D. Aggarwala (University of Calgary, Calgary, Canada) "HIV/AIDS, a comparison between Canada and the United States"
Miranda I. Teboh-Ewungkem (Lehigh University, Bethlehem, PA, USA) "Mathematical analysis of co-current and counter current flow in tissue capillary exchange"
S. Hota (Fisk University, Nashville, TN, USA) "Effect of compliance on TGI efficiency: experimental and mathematical analyses"
Peter S. Kim (graduate student, Stanford University, CA, USA) "Post-Transplantation dynamics of the immune response to chronic myelogenous leukemia"
Claudia Carrillo (University of Oxford, UK) "Spatial effects in discrete-time population models"
Andrew M. Edwards (Dalhousie University, Halifax, NS, Canada) "Using state-space models to understand why some fish populations increase under industrial fishing"
Janos Turi (University of Texas at Dallas, TX, USA) "Numerical stability analysis of respiratory control system models"
M.C. Nucci (Universita di Perugia, Perugia, Italy) "Using Lie symmetries in epidemiology"
Arcady Ponosov (NLH, As, Norway) "Singular Perturbation Analysis and Gene Regulatory Networks"
Andrei Shindiapin (Eduardo Mondlane University, Maputo, Mozambique) "Parameter estimation for the delay nonlinear model of the shrimp population dynamics"
Elena Braverman (University of Calgary, Calgary, AB, Canada) "On discrete models of population dynamics"
Lev Idels (Malaspina University-College, Nanaimo, BC, Canada) "Harvesting strategies via nonlinear delay differential equations"

The session on Ordinary Differential Equations included:
S.M. Moghadas (Institute for Biodiagnostics, Winnipeg, MB, Canada) "A non-standard scheme for a class of positively invariant ordinary differential equations"
Kazem Ghanbari (Sahand University of Technology, Tabriz, Iran) "On the isospectral beams"

The session on Delay differential equations session began with a plenary talks by
T.A. Burton (Northwest Research Institute, Port Angeles, WA 98362, USA) "Fixed points and stability of functional differential equations"
Ioannis P. Stavroulakis (University of Ioannina, Ioannina, Greece) "Oscillation criteria for functional differential equations"
This session continued with 30-minutes talks:
Istvan Gyori (University of Veszprem, Veszprem, Hungary) "Stability conditions for population model equations with delay"
R. S. Dahiya (Iowa State University, Ames, Iowa, USA) "Oscillation theorems for neutral functional differential equations"
Haydar Akca (King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia) "Asymptotic behavior of discrete solutions of impulsive logistic equation"
Silviu-Iulian Niculescu (UT Compiegne, France) "On the zeros distribution of some class of quasipolynomials: a matrix pencil approach"
Leonid Berezansky (Ben Gurion University, Beer Sheva, Israel) "On stability of some linear and nonlinear delay differential equations"
Elena Litsyn (Ben-Gurion University, Beer-Sheva, Israel) and Yakov Goltser (The College of Judea and Samaria, Ariel, Israel) "Nonlinear Volterra integro-differential equations, infinite systems and normal forms of ordinary differential equations"

The session on Control and Optimization included:
Alexander Ioffe (Technion, Haifa, Israel) "Regularity and relaxation of unbounded differential inclusions"
Benzion Shklyar (Holon Academic Institute of Technology, Holon, Israel) "Approximate Controllability of Distributed Systems by Distributed Controller"

The session on Complex Dynamical Systems and Applications in Mathematical Biology organized by David Shoikhet (Israel) and incuded:
David Shoikhet (ORT Braude Academic College, Karmiel, Israel) "Semigroups of holomorphic mappings with boundary fixed points"
Roberto Tauraso (Universita' di Roma "Tor Vergata", Roma, Italy) "Common periodic points for expanding maps which commute"
Bruce van Brunt (Massey University, New Zealand) "Holomorphic solutions to linear functional differential equations".

Here is a photograph of the participants in this conference:

Left block, from left to right: (first row) Claudia Carrillo, Miranda I. Teboh-Ewungkem, Rajbir S. Dahiya, B. D. Aggarwala; (second row) Thomas Hillen, Ioannis P. Stavroulakis, Seyed Moghadas; (third row) Sanjukta Hota, Odo Diekmann, Judith Malcolm, Roberto Tauraso; (fourth row) Jiguo Cao, Jon T. Schnute, Ehud Meron, Janos Turi; (fifth row) Leonid Berezansky, Arcady Ponosov, Benzion Shklyar;
Right block, from left to right: (first row) Herb Freedman, David Shoikhet, Elena Braverman, Bruce van Brunt; (second row) Peter Kim, Andrew Edwards, Fiana Jacobzon, Aigul ?;
(third row) John Clements, Elena Litsyn, Yakov Goltser, Fred Brauer; (fourth row) Clara Nucci, Andrei Shindiapin, Kazem Ghanbari, T. A. Burton; (fifth row) Haydar Akca, Istvan Gyori, Lev Idels, ?, ?;

There were a lot of possibilities for informal communication after lectures or waiting for the shuttle from Malaspina University College to the hotel which was also time for discussions. Most of us arrived to Nanaimo by ferry and lived near Nanaimo harbour where we enjoyed nature during the daytime and at a sunset and also wildlife quite close.

The conference had an extensive social program which involved a guided tour to the Pacific Biological Station, Department of Fisheries and Oceans. On Wednesday July 21 there was a trip which began with a hike: we walked, and walked, and walked in Paradise Meadows. Then we came to the bottom of Mount Washington where first there was a fog which then cleared up and we could observe the chairlift cable from the bottom and from the top of the mountain. We observed Vancouver Island from the top of Mount Washington; see view 1, view 2, view 3, from the top birds on Mount Washington and view 4, view 5 on the way down the mountain. Further, we continued our trip in the Cathedral Grove After a short guidance in the beginning of the tour we entered the darkness of the grove and continued our way among the trees of the grove. Here you can see local organizer Lev Idels is holding the tree and all our graduate students could not embrace the largest tree. The banquet with dances , piano music and some mathematical discussions completed the conference.

The framework of the conference proceedings allows some historical insight and model discussions which are rarely incorporated into papers on mathematical biology and differential equations. For example, below two of reference letters are quoted.
"The paper contains a survey of recent results in oscillation theory ... which cannot be found in any book on functional differential equations" (about the paper by I.P. Stavroulakis).
"I would suggest that a paper like that of Shnute which addresses broad issues should be put in a prominent position".
In conclusion I would like to use this opportunity to thank the organizing committee (Leonid Berezansky, Elena Litsyn, Arcady Ponosov, Michael Li) and especially local organizer Lev Idels. Finally, we gratefully acknowledge the financial support of Malaspina University College, Pacific Institute for Mathematical Sciences and Alberta Ingenuity Fund.

Special Issue Editors:

Fred Brauer
Department of Mathematics, University of British Columbia
Vancouver BC V6T 1Z2, Canada

Elena Braverman
Department of Mathematics and Statistics, University of Calgary
2500 University Drive N.W., Calgary, Alberta T2N 1N4, Canada
e-mail maelena@math.ucalgary.ca

Back to the Table of Contents for the 2004 Nanaimo Conference.

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