Mathematical Modeling Of Population Dynamics In Complex Ecosystems
Keywords:
Population Dynamics, Complex Ecosystems, Mathematical Modeling, Predator–Prey InteractionsAbstract
Population dynamics in complex ecosystems are influenced by interactions among multiple species, environmental heterogeneity, and stochastic events. Mathematical models provide frameworks to quantify these dynamics, predict long-term trends, and assess ecosystem stability. Classical approaches, including Lotka–Volterra equations, reaction–diffusion models, and stochastic
simulations, enable understanding of predator-prey interactions, competition, and spatial dispersal. This article integrates theoretical, computational, and applied perspectives, with graphical analyses illustrating population oscillations and spatial distributions. Insights from these models support biodiversity conservation, ecosystem management, and forecasting responses to environmental change.
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