Luis Gordillo Ph.D.
Mathematics and Statistics
Associate Professor
Contact Information
Office Location: Animal Science (ANSC) 109Phone: (435) 797-0245
Email: luis.gordillo@usu.edu
Biography
Luis obtained his Ph.D. and M.Sc. degree in Mathematics from Arizona State University in 2004 and joined Utah State University in the Fall of 2012, after spending some years teaching and doing research in the Caribbean and South America. His current interests lie at the interface between natural sciences and mathematical modeling, including the impact that control measures have on the dispersal of pests, and the role of stochasticity on spatial/environmental structures in the spread of diseases. Luis' interests in education come from his long term relationship with Applied Mathematics programs directed to minority students in the United States. He enjoys spending his free time exploring with his beloved family the beautiful scenery of Cache Valley in Northern Utah. Luis' native language is Spanish.
Research Interests
Applied Mathematics: development of theoretical and computational tools that characterize biological phenomena, including the spread of diseases and control of pest invasions, and processes of desertification in semi-arid environments. Math Education: development of "hands-on" approaches for teaching mathematical biology.
Awards
Outstanding Graduate Mentor of the Year, 2018
Department of Mathematics and Statistics, USU
Teacher of the Year, 2015
Department of Mathematics and Statistics, USU
- Greenwood, P., Gordillo, L.G, (2009). Stochastic epidemic modeling: Mathematical and Statistical Estimation Approaches in Epidemiology. Springer
Publications | Book Chapters
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.
Publications | Curriculum
- Gordillo, L.F, (2019). Marshmallow Lab. *
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.
Publications | Journal Articles
Academic Journal
- Gordillo, L.F, Greenwood, P., Strong, D., (2023). Epidemic highs and lows: a stochastic diffusion model for active cases. Journal of Biological Dynamics
- Frantz, R., Compton, T., Nischwitz, C., Gordillo, L.G, (2023). Modeling the Spread of Curly Top Disease in Tomato Crops. Letters in Biomathematics
- Gordillo, L.G, Greenwood, P., (2022). Allee effects plus noise induce population dynamics resembling binary Markov highs and lows. Bulletin of Mathematical Biology
- Rodriguez, L., Gordillo, L.F, (2022). Density-dependent diffusion and refuge in a spatial Rosenzweig-MacArthur model: Stability results. Journal of Mathematical Analysis and Applications
- Rodriguez, L., Zhao, J., Gordillo, L.F, (2021). The effects of simple density-dependent prey diffusion and refuge in a predator-prey system. Journal of Mathematical Analysis and Applications
- Pulley, M., Rodriguez, L., Lewis, M., Kohler, B.R, Gordillo, L.F, (2020). Guiding Students to Understand Functional Responses: Holling's Disc Experiment Revisited. PRIMUS
- Rodriguez, L., Gordillo, L.F, (2019). Low-density barriers for controlling plant crowd diseases: how far and fast can pathogens spread?. Natural Resources Modeling
- Jordan, S., Ramirez, R., Gordillo, L.G, (2019). Modeling the spatial spread of alfalfa stem nematodes. European Journal of Plant Pathology, 154:3, 649-657.
- Dixon, S., Huntly, N., Greenwood, P.E, Gordillo, L.G, (2018). A stochastic model for water-vegetation systems and the effect of decreasing precipitation on semi-arid environments. Mathematical Biosciences and Engineering, 15:5, 1155-1164.
- Gordillo, L.G, Jordan, S., (2017). Influence of resistant varieties on the speed of propagation of simple epidemics in crops. Applied Mathematics Letters, 68, 129-134.
- Snyder, K., Kohler, B.R, Gordillo, L.G, (2017). Mass action in two-sex population models: encounters, mating encounters and the associated numerical correction. Letters in Biomathematics, 4:1
- Scott, J., Nischwitz, C., Ramirez, R., Gordillo, L.G, (2017). Managing the spread of alfalfa stem nematode:the relationship between crop rotation periods and pest re-emergence. Natural Resource Modeling
- Ramirez, S., Gordillo, L.G, (2016). Approximating optimal release in a deterministic model for the sterile insect technique. International Journal of Agronomy, 2016
- Duncan, J., Powell, J., Gordillo, L.G, Eason, J., (2015). A model for Mountain Pine Beetle outbreaks in age structured forest: predicting severity and outbreak-recovery cycle period. Bulletin of Mathematical Biology, 77:7, 1256-1284.
- Gordillo, L.G, (2015). Modeling ephemeral mating encounters in insects: the emergence of mate-finding Allee effects and applications to theoretical models of sterile release. Theoretical Population Biology, 104, 10-16.
- Denkinger, J., Gordillo, L.G, (2015). Urban life of Galapagos sea lions (Zalophus wollebaeki) on San Cristobal Island, Ecuador: threats and population trends. Journal of Sea Research
- Gordillo, L.G, (2014). Pest persistence and eradication conditions in a deterministic model for sterile insect release. Journal of Biological Dynamics
- Gordillo, L.G, (2014). Optimal sterile insect release for area-wide integrated pest management in a density regulated pest population. Mathematical Biosciences and Engineering
- Alpizar, G., Gordillo, L.G, (2013). Disease spread in coupled populations: minimizing response strategies costs in discrete time models. Discrete Dynamics in Nature and Society
- Gordillo, L.G, (2013). Reducing mosquito-borne disease outbreak size: the relative importance of contact and transmissibility in a network model. Applied Mathematical Modelling
- Gordillo, L.G, Kim, Y., (2012). A simulation of the effects of early eradication of nematode infected trees on spread of pine wilt disease.. European Journal of Plant Pathology
- Gordillo, L.G, (2011). The effects of reducing mating likelihood on population viability. Natural Resources Modeling
- Kim, B., Gordillo, L.G, Kim, Y., (2010). A model for the transmission dynamics of Orientia Tsutsugamushi among its natural reservoirs. Journal of Theoretical Biology
- Viteri, D., Gordillo, L.G, (2009). Modeling and control of non-persistent plant viruses transmission for annual production cycles.. European Journal of Plant Pathology
- Gordillo, L.G, Greenwood, P., Martin-Lof, A., Marion, S., (2008). Bimodal epidemic size distributions for near-critical SIR with vaccination. Bulletin of Mathematical Biology
- Gordillo, L.G, Greenwood, P., (2008). The effect of patterns of infectiousness on epidemic size. Mathematical Biosciences and Engineering
- Kuske, R., Gordillo, L.G, Greenwood, P., (2007). Sustained oscillations via coherence resonance in SIR.
- Bustoz, J., Gordillo, L.G, (2005). q-Hausdorff summability. Journal of Computational Analysis and Applications, 35-48.
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.
Publications | Other
An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.