Research

Current Research

Analysis of restoration strategies of kelp forests in the northern coast of California

Source: Wikipedia
I am developing an Integrodifference Equation model to describe the interaction between bull kelp (Nereocystis luetkeana) and its predator, the purple sea urchin (Strongylocentrotus purpuratus) to analyze potential strategies to restore the kelp forest ecosystem in the northern coast of California.

Modeling of spatial dynamics of ecosystem engineers

Source: Wikipedia
I am currently interested in the development and analysis of generalized models using Reaction-Diffusion equations to understand how ecosystem engineers such as sea urchins spread through their habitat. Based on these analytical results, I am interested in understanding how different management decisions (such as increased connectivity of a fragmented habitat or limitation of fishing of a specific population) may affect the fate of a species in an ecosystem.

Past Research

Modeling of biological control in coffee production

Source: Wikipedia
My undergraduate research project revolved about defining strategies for biological control of coffee rust (Hemileia vastatrix) using spatial dynamical systems. We modelled the coffee rust populations of each coffee tree using ordinary differential equations interacting in a discrete graph and we introducedbiological control sources to the system and analyze how these populations interact with each other.

Source: Wikipedia