@article{1447632,
      recid = {1447632},
      author = {Ducrot, Arnaud, and Griette, Quentin, and Liu, Zhihua, and  Magal, Pierre,},
      title = {Differential equations and population dynamics., I,:  Introductory approaches /},
      pages = {1 online resource (xx, 458 pages).},
      abstract = {This book provides an introduction to the theory of  ordinary differential equations and its applications to  population dynamics. Part I focuses on linear systems.  Beginning with some modeling background, it considers  existence, uniqueness, stability of solution, positivity,  and the Perron-Frobenius theorem and its consequences. Part  II is devoted to nonlinear systems, with material on the  semiflow property, positivity, the existence of invariant  sub-regions, the Linearized Stability Principle, the  Hartman-Grobman Theorem, and monotone semiflow. Part III  opens up new perspectives for the understanding of  infectious diseases by applying the theoretical results to  COVID-19, combining data and epidemic models. Throughout  the book the material is illustrated by numerical examples  and their MATLAB codes are provided. Bridging an  interdisciplinary gap, the book will be valuable to  graduate and advanced undergraduate students studying  mathematics and population dynamics.},
      url = {http://library.usi.edu/record/1447632},
      doi = {https://doi.org/10.1007/978-3-030-98136-5},
}