Mathematical modelling. Theory and application. (English) Zbl 1522.34005
Contemporary Mathematics 787. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6965-8/pbk; 978-1-4704-7389-1/ebook). viii, 163 p. (2023).
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Publisher’s description: This volume is a collection of chapters that present key ideas and theories, as well as their rigorous applications, required for the development of mathematical models in areas such as travelling waves, epidemiology, the chemotaxis system, atrial fibrillation, and vortex nerve complexes. The techniques, methodologies and approaches adopted in this book have relevance in several other fields including physics, biology, and sociology. Each chapter should also assist readers in comfortably comprehending the related and underlying ideas.The companion volume [Mathematical modelling. Principle and theory. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1520.78005)] is devoted to principle and theory.
The articles of this volume will be reviewed individually.
Indexed articles:
Fečkan, Michal, Travelling waves in nonlinear lattices, 1-25 [Zbl 07729449]
Asai, Yusuke; Cheng, Jiaqi; Han, Xiaoying, Dynamics of an SEIR model for infectious diseases in random environments, 27-54 [Zbl 1522.34070]
Negreanu, M.; Tello, J. I.; Vargas, A. M., On a parabolic-ODE chemotaxis system with periodic asymptotic behavior, 55-91 [Zbl 1521.35037]
Agop, Maricel; Gavriluţ, Alina; Eva, Lucian; Roşu, Iulian-Alin, Atrial fibrillation through strange attractor dynamics, 93-137 [Zbl 1520.92034]
Peters, J. F., Good covers for vortex nerve cell complexes. Free group presentation of intersecting nested cycles in planar CW spaces, 139-163 [Zbl 1527.55013]
MSC:
34-06 | Proceedings, conferences, collections, etc. pertaining to ordinary differential equations |
37-06 | Proceedings, conferences, collections, etc. pertaining to dynamical systems and ergodic theory |
92-06 | Proceedings, conferences, collections, etc. pertaining to biology |
34A33 | Ordinary lattice differential equations |
37C29 | Homoclinic and heteroclinic orbits for dynamical systems |
37H10 | Generation, random and stochastic difference and differential equations |
92D30 | Epidemiology |
35B10 | Periodic solutions to PDEs |
35B40 | Asymptotic behavior of solutions to PDEs |
92B05 | General biology and biomathematics |
92C50 | Medical applications (general) |
55P57 | Proper homotopy theory |
55U10 | Simplicial sets and complexes in algebraic topology |
00B15 | Collections of articles of miscellaneous specific interest |