This book presents the basic theoretical concepts of dynamical systems
with applications in population dynamics. Existence, uniqueness and
stability of solutions, global attractors, bifurcations, center manifold
and normal form theories are discussed with cutting-edge applications,
including a Holling's predator-prey model with handling and searching
predators and projecting the epidemic forward with varying level of
public health interventions for COVID-19.
As an interdisciplinary text, this book aims at bridging the gap between
mathematics, biology and medicine by integrating relevant concepts from
these subject areas, making it self-sufficient for the reader. It will
be a valuable resource to graduate and advance undergraduate students
for interdisciplinary research in the area of mathematics and population
dynamics.