Biomechanical model and computer simulation

Author: Gui Zhanji
Publisher:
Publish Date: 2005-07-01
Features: This book introduces research methods and recent advancements in biomathematical models. The book consists of seven chapters. Chapter 1 introduces simple population models and presents computer numerical simulation programs, with the source code being widely applicable to other specific research problems. Chapter 2 covers population models with two and three life stages. Chapter 3 discusses autonomous and non-autonomous diffusion population models, also considering the impact of delays. Chapter 4 and Chapter 5 introduce methods for studying population ecological models using topological degree theory and fixed-point theorems from nonlinear functional analysis. Chapter 6 and Chapter 7 provide an overview of impulsive differential equation theory and its applications in population dynamical models and epidemic dynamical models. This book is suitable for senior undergraduate and graduate students in mathematics and biology at universities, as well as for teachers and researchers engaged in biomathematical studies, serving as a reference for teaching and scientific research.