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By Nicolas Barbier - Nicolas Barbier survey over W regional park, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=6000102Â
Nonlocal Dispersal in Ecology
Nonlocal Dispersal in Ecology
My research focuses on a generalization of the Klausmeier model, where classical diffusion is replaced by a diffusive-type integral operator. I establish the existence of small-time weak solutions and global mild solutions. I intend to use numerical methods to investigate whether the system evolves toward patterned vegetation or collapses into a desert state.
I sincerely believe in the following four axioms laid down by the mathematician Federico Ardila-Mantilla.
Axiom 1. Mathematical potential is equally present in different groups, irrespective of geographic, demographic, and economic boundaries.
Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Axiom 4. Every student deserves to be treated with dignity and respect.
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