Nonlocal Mechanistic Models in Ecology: Numerical Methods and Parameter Inferences
نویسندگان
چکیده
Animals utilize their surroundings to make decisions on how navigate and establish territories. Some species gather information about competing groups by observing them from a distance, detecting scent markings, or relying memories of encounters with rival populations. Gathering such involves nonlocal process, prompting the development mechanistic models that incorporate terms explore movement. These models, however, pose analytical computational challenges. In this study, we focus multi-species advection–diffusion model incorporates advection. To efficiently compute solutions for system involving large number interacting species, introduce numerical scheme using spectral methods. Additionally, examine influence various parameters interaction potentials population densities. Our investigation aims provide method identify primary factors driving movements, validate our approach synthetic data.
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ژورنال
عنوان ژورنال: Applied sciences
سال: 2023
ISSN: ['2076-3417']
DOI: https://doi.org/10.3390/app131910598