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.

1 P. Freguglia et al., Modelling Ecological Systems from a Niche Theory to Lotka-Volterra equations.- 2 N. Petrovskaya and W. Zhang, Accurate Recognition of Spatial Patterns Arising in Spatio-Temporal Dynamics of Invasive Species.- 3 A. Andò and D. Breda, Collocation techniques for structured populations modeled by delay equations.- 4 H. Laurie et al., Herding induced by encounter rate, with predator pressure influencing prey response.- 5 N. M. Brites and C. A. Braumann, Harvesting policies with stepwise effort and logistic growth in a random environment.- 6 C. Corbacho et al., Mathematical modeling of the population dynamics of long-lived raptor species. Application to Eurasian black vulture colonies.- 7 C. Bianchi et al., On the role of inhibition processes in modeling control strategies for composting plants.- 8 A. Martiradonna et al., Optimal control of invasive species with budget constraint: qualitative analysis and numerical approximation.- 9 S. Aniţa et al., A Shape Optimization Problem Concerning the Regional Control of a Class of Spatially Structured Epidemics - Sufficiency Conditions.- 10 A. d’Onofrio and P. Manfredi, The interplay between voluntary vaccination and reduction of risky behavior: a general behavior-implicit SIR model for vaccine preventable infections.- 11 F. Florian and R. Vermiglio, PC-based sensitivity analysis of the basic reproduction number of population and epidemic models.- 12 M. J. Wieteska, Linear dynamics of mRNA expression and hormone concentration levels in primary cultures of bovine granulosa cells.