Abstract:

Population dynamics, the study of how populations change in size and structure over time, is a complex field that finds applications in various disciplines, including ecology, epidemiology, and sociology. Mathematical models play a crucial role in understanding and predicting population dynamics by capturing the intricate interactions among individuals, environmental factors, and other variables. This research paper delves into the fundamental principles of population dynamics and investigates the diverse mathematical models employed to analyze population behavior. Through a comprehensive review of existing literature and case studies, this paper explores the strengths, limitations, and applications of mathematical modeling in elucidating population dynamics.

Description:

Stochastic models, Deterministic models, Spatial dynamics, Age-structured models, Carrying capacity.