Current Trends in Dynamical Systems in Biology and Natural Sciences

This book disseminates the latest results and envisages new challenges in the application of mathematics to various practical situations in biology, epidemiology, and ecology. It comprises a collection of the main results presented at the Ninth Edition of the International Workshop “Dynamical Systems Applied to Biology and Natural Sciences – DSABNS”, held from 7 to 9 February 2018 at the Department of Mathematics, University of Turin, Italy. While the principal focus is ecology and epidemiology, the coverage extends even to waste recycling and a genetic application. The topics covered in the 12 peer-reviewed contributions involve such diverse mathematical tools as ordinary and partial differential equations, delay equations, stochastic equations, control, and sensitivity analysis. The book is intended to help both in disseminating the latest results and in envisaging new challenges in the application of mathematics to various practical situations in biology, epidemiology, and ecology. 

• Gene regulation matrices
• Ecology: landscape fitness and structured populations
• Population theory: stochastic and herd behaviour
• Control in recycling, composting and epidemiology
• Numerical methods for delay equations and R_0

• Department of Mathematics, University of Trento, Trento, Italy

  Maira Aguiar, Andrea Pugliese

• Department of Mathematics, University of Évora, Évora, Portugal

  Carlos Braumann

• Faculty of Science, VU University Amsterdam, Amsterdam, The Netherlands

  Bob W. Kooi

• Department of Mathematics “CMAF-CIO”, University of Lisbon, Lisbon, Portugal

  Nico Stollenwerk

• Department of Mathematics “Giuseppe Peano”, University of Turin, Torino, Italy

  Ezio Venturino

Andrea Pugliese is Professor of Mathematical Analysis and Mathematical Biology at the University of Trento. He obtained a Master's in Mathematics at the University La Sapienza of Rome and a PhD in Ecology and Evolution at the State University of New York at Stony Brook. He is the author of more than 90 scientific publications, mainly in the areas of mathematical epidemiology and ecology. He is an editorial board member for the Journal of Mathematical Biology and the Journal of Biological Dynamics.

B.W. Kooi's main research interests concern interacting populations in Life Sciences – Ecology, Evolution, Epidemiology and Biochemistry – using mathematical models based on physical/chemical processes at different organizational levels: at the individual level, the Dynamic Energy Budget model, and at higher levels, unstructured/physiologically structured populations and community and ecosystem models. The emphasis is on sensitivity, perturbation, bifurcation, and non-linear dynamics analysis techniques.

Carlos A. Braumann is Emeritus Professor in the Department of Mathematics and a member of the Research Centre in Mathematics and Applications, Universidade de Évora, Portugal, working on stochastic differential equations and biological applications. He has been an elected member of the International Statistical Institute since 1992 and has been President of both the European Society for Mathematical and Theoretical Biology (2009–12) and the Portuguese Statistical Society (2006–12).

Ezio Venturino received his PhD in Applied Mathematics from SUNY at Stony Brook in 1984. He is currently Professor of Mathematics in the Department of Mathematics, University of Turin, Italy. He has visited a number of international institutions worldwide and has a wide scientific collaboration network. His earlier research focused on numerical analysis, mainly methods for integral equations, and he is currently engaged in research on nonlinear models for biological and ecological applications.

Maira Aguiar is a biologist who has also trained in the mathematical modeling of biological systems, with emphasis on nonlinear dynamics, bifurcation analysis, and biostatistics. Her research investigates problems in public health epidemiology, focusing on the dynamics of vector-borne diseases. She has authored more than 35 papers and is frequently invited as a plenary speaker at international scientific meetings. Since 2018 she has been Vice-President of the European Society of Mathematical and Theoretical Biology.

Nico Stollenwerk received his PhD in theoretical physics from the University of Clausthal. He previously worked at the Research Center Jülich, Germany and is currently the Principal Investigator of the Mathematical Biology group at CMAF, Lisbon University, where he has designed a Biomathematics PhD course. He is a coauthor of the book "Population Biology and Criticality" and has also coauthored many articles in international journals and more than 40 book chapters, as well as refereeing contributions in international congresses.