Luis Gordillo Ph.D.

Publications | Book Chapters

• Greenwood, P., Gordillo, L.G, (2009). Stochastic epidemic modeling: Mathematical and Statistical Estimation Approaches in Epidemiology. Springer

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.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An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.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.F, (2023). Modeling the Spread of Curly Top Disease in Tomato Crops. Letters in Biomathematics
• Gordillo, L.F, Greenwood, P., (2023). Intermittent Precipitation-Dependent Interactions, Encompassing Allee Effect, May Yield Vegetation Patterns in a Transitional Parameter Range. Bulletin of Mathematical Biology
• 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.