Analysis of the interdependence between species in reforestation projects in the Amazon
DOI:
https://doi.org/10.5902/2179460X86737Keywords:
Biomathematics, Mathematical ecology, Partial differential equations, Central finite difference method, Crank-Nicolson MethodAbstract
This study employs mathematical and computational approaches to model the interaction between four tree species in a reforestation area. The modeling integrates the diffusion-advection equation with the classical Lotka-Volterra model, which results in a complex system of non-linear partial differential equations. To tackle the complexity of the system, numerical methods, such as the Central Finite Difference Method for the discretization of space and the Crank-Nicolson Method for the discretization of time are employed. The researchers implement these methods using MATLAB software to create an algorithm that generates realistic scenarios over a specified period, and the parameters were estimated based on results extracted from the literature. The generated results provide valuable insights, represented through graphical depictions of approximate solutions in hypothetical scenarios. These visuals allow for the exploration of potential ecological succession trajectories within the environment.
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