Dynamical Systems in Population Biology

This book provides a detailed introduction to nonautonomous semiflows and their applications in population dynamics, making it a valuable resource for researchers and students alike.

This research monograph offers a comprehensive introduction to the theory of nonautonomous semiflows, particularly focusing on their applications within population dynamics. The text delves into various dynamical system approaches applicable to a range of evolutionary equations, including difference, ordinary, functional, and partial differential equations. A significant emphasis is placed on understanding periodic and almost periodic phenomena, which are crucial for modeling biological systems effectively.

In Dynamical Systems in Population Biology, the author discusses essential concepts such as persistence theory, monotone dynamics, and the characteristics of periodic and almost periodic semiflows. The book also explores fundamental topics like basic reproduction ratios, traveling waves, and provides a global analysis of prototypical population models relevant to ecology and epidemiology. This thorough exploration equips readers with the knowledge necessary to apply these theories to real-world scenarios.

This text is particularly beneficial for research mathematicians engaged in nonlinear dynamics, especially those with an interest in biological applications. Furthermore, it serves as an excellent resource for graduate students, either as a primary textbook or as supplementary material for special topics courses on the theory and applications of dynamical systems. Dr. Xiao-Qiang Zhao, a University Research Professor at Memorial University of Newfoundland, brings his extensive expertise to this essential work.