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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 (Contemporary Mathematics, Volume 786) is devoted to principle and theory.
M. Feckan, Travelling waves in nonlinear latticesY. Asai, J. Cheng, and X. Han, Dynamics of an SEIR model for infectious diseases in random environmentsM. Negreanu, J. I. Tello, and A. M. Vargas, On a parabolic-ODE chemotaxis system with periodic asymptotic behaviorM. Agop, A. Gavrilut, L. Eva, and I.-A. Rosu, Atrial fibrillation through strange attractor dynamicsJ. F. Peters, Good covers for vortex nerve cell complexes. Free group presentation of intersecting nested cycles in planar CW spaces.