This research area focuses on the interaction between crop phenology, plant diseases, and climate change, using biomathematical modeling, climate data analysis, and digital agricultural monitoring tools. The main objective is to understand and predict how climate variability—particularly extreme temperatures and thermal accumulation—influences crop phenological development and the dynamics of plant pathogens. This work integrates approaches from biomathematics, agronomy, climatology, and engineering, contributing to the development of predictive models and decision-support tools for agricultural systems.
Associated publications
Campillay-Llanos, W., Ortega-Farías, S., Ahumada-Orellana, L., Díaz, G. A., & López-Olivari, R. (2025). Phenological Analysis through Biomathematical Models of Three Varieties of Pear (Pyrus communis L.) in Mediterranean Climate Conditions. Ecological Modelling.
Campillay-Llanos, W., Ortega-Farías, S., González-Colville, P., Díaz, G. A., López-Flores, M. M., & López-Olivari, R. (2025). Modeling the Effects of Extreme Temperatures on the Infection Rate of Botrytis cinerea Using Historical Climate Data (1951–2023) of Central Chile. Agronomy.
Campillay-Llanos, W., González-Colville, P., Ortega-Farías, S., & López-Flores, M. M. (2024). Historical trends and future scenario projection of maximum summer temperatures in the southern hemisphere: central-southern zone of Chile. IDESIA, 4, 43–54.
Campillay-Llanos, W., Ortega-Farías, S., & Ahumada-Orellana, L. (2024). Development and validation of phenological models for eight varieties of sweet cherry (Prunus avium L.) growing under Mediterranean climate condition. Scientia Horticulturae, 326, 1–12.
Lolas, M., Latorre, B., Grinbergs, D., Chilian, J., Ferrada, E., Ortega-Farías, S., Campillay-Llanos, W., & Díaz, G. A. (2024). Occurrence of Neofusicoccum parvum Causing Canker and Branch Dieback of European Hazelnut in Maule Region, Chile. Plant Disease.
Iqbal, S., Mubeen, I., Lolas, M., Moya-Elizondo, E., Gundel, P., Ortega-Farias, S., Campillay-Llanos, W., & Díaz, G. A. (2025). Vulnerability of Walnut Pruning Wounds to Fungal Trunk Pathogens and Seasonal Conidial Dynamics of Botryosphaeriaceae in the Maule Region, Chile. Microorganisms, 13(10), 2407.
Campillay-Llanos, W., de La Fuente-Sáiz, D., & Ortega-Farías, S. (2024). Digitized model for optimal rootstock selection: proposal for management strategies in viticulture. IEEE International Conference on Automation / XXVI Congress of the Chilean Association of Automatic Control (ICA-ACCA).
Ortega-Farías, S., Campillay-Llanos, W., & Ahumada-Orellana, L. (2023). Biomathematical modeling and phenology in sweet cherry: addressing the challenges of climate change. IEEE Chilecon 2023.
Campillay-Llanos, W., López-Flores, M., Ortega-Farías, S., & Díaz, G. (2023). Advances in analysing proportional electrical signals in digital devices: novel tools for plant electrophysiology. IEEE Chilecon 2023.
Ortega-Farías, S., Díaz, G., Campillay-Llanos, W., & López-Flores, M. (2023). Digitalized biomathematical models for the dynamic analysis of Gray mold caused by Botrytis cinerea in wine grapes: insights and applications. IEEE Chilecon 2023.
Campillay-Llanos, W., Fuentes, F., & Ortega-Farías, S. (2022). Towards indicators for agricultural production through biomathematical modeling using an interactive web platform. IEEE Automatic Control Meeting Proceedings.
This research area focuses on theoretical and biomathematical approaches to ecological systems, particularly on how body size, energy flow, and species interactions shape the structure and dynamics of ecological communities. The research develops mathematical models of food chains, predator–prey interactions, and trophic cascades, emphasizing the role of species body size as a key ecological trait influencing stability, coexistence, and biological control success. This work contributes to advancing theoretical ecology by integrating nonlinear dynamics, population modeling, and ecological theory, as well as interdisciplinary perspectives connecting ecology, mathematics, and education.
Associated publications
Campillay-Llanos, W., López-Flores, M. M., Ortega-Farías, S., & Díaz, G. A. (2025). Spaces and surfaces of body sizes of species determining the success of biological control in a three-level food chain. Scientific Reports (under review).
Campillay-Llanos, W., Pinto, M., & Osorio, C. (2024). Body size modulates apex predators and native and invasive prey demographic patterns: a biomathematical approach. Ecología Austral.
Campillay-Llanos, W., López-Flores, M., Ortega-Farías, S., & Díaz, G. (2024). Theoretical approach to community structure: body size, density and energy. Revista Brasileira de Ensino de Física.
Campillay-Llanos, W., Córdova, F., & Moreno, F. (2022). Coexistence, energy and trophic cascade in a three-level food chain that integrates body sizes. Frontiers in Ecology and Evolution, 10, 1–14.
Campillay-Llanos, W., Saldaña, V., Córdova, F., & Moreno, F. (2021). Fish catch management strategies: Evaluating the interplay between body size and global warming. Natural Resource Modeling, 34, 1–15.
Campillay-Llanos, W., & Cárcamo-Mansilla, N. (2025). How do we model what we model? An interdisciplinary approach for educational integration between mathematics and biology. Discover Education, 4(1), 145.
This research line focuses on mathematical theory and modeling, particularly on the development and applications of proportional calculus and non-Newtonian formulations of classical mathematical models. The work explores alternative approaches to differential and integral calculus and their applications in modeling natural phenomena, including growth processes and dynamical systems. These studies contribute to the advancement of mathematical analysis and applied mathematics, while also linking theoretical developments with interdisciplinary applications in science and engineering.
Associated publications
Campillay-Llanos, W., López-Flores, M. M., Ortega-Farías, S., & Díaz, G. A. (2023, December). Advances in analysing proportional electrical signals in digital devices: novel tools for plant electrophysiology. In 2023 IEEE Chilean Conference on Electrical, Electronics Engineering, Information and Communication Technologies (CHILECON) (pp. 1–6). IEEE.
Campillay-Llanos, W., Pinto, M., Torres, R., & Guevara, F. (2021). Differential and integral proportional calculus: how to find a primitive for Gaussian function. International Journal of Mathematics Education in Science and Technology, 52, 1–10.
Pinto, M., Torres, R., Campillay-Llanos, W., & Guevara, F. (2020). Applications of proportional calculus and a non-Newtonian logistic growth model. Proyecciones (Journal de Matemática), 39, 1–16.
Campillay-Llanos, W. (2007). Cálculo proporcional: un maravilloso recorrido por el mundo multiplicativo. Undergraduate thesis, Universidad Metropolitana de Ciencias de la Educación.
Campillay-Llanos, W., & Guevara-Morales, F. (2015). Gelfond’s constant and proportional arithmetic. Session on Algebra and Number Theory, XXVIII Jornada Matemática de la Zona Sur, Universidad del Bío-Bío, Chillán, Chile, April 22–24.
Campillay-Llanos, W., & Guevara-Morales, F. (2018). Proportional algebraic curves. Geometry Session, XXXI Jornada Matemática de la Zona Sur, Universidad Austral de Chile, Valdivia, Chile, April 25–27.
Pinto, M., & Campillay-Llanos, W. (2013). Proportional differential equations. VIII Congreso de Análisis Funcional y Ecuaciones de Evolución, Universidad de Santiago de Chile, Santiago, Chile, November 20–23.