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Dr. William Campillay-Llanos is a mathematician and researcher with a strong background in mathematical modeling and theoretical ecology, focusing on the application of mathematics to biological and environmental systems. He is currently an Assistant Professor in the Department of Mathematical and Physical Sciences and a research collaborator at the Research and Technological Transfer Center for Irrigation and Agroclimatology (CITRA) at the University of Talca. In 2025, he has been invited to visit the Institute of Pure and Applied Mathematics (IMPA) in Brazil to strengthen his skills in mathematical modeling applied to climatology.

In 2024, he published 10 scientific papers, including 2 in high-impact journals (WOS Q1), 6 in journals indexed in Scopus, and 2 related to the teaching of theoretical ecology and climate data modeling. Additionally, he has 3 manuscripts under review in WOS Q1 journals and serves as a reviewer for the journal Agricultural Water Management.

Dr. Campillay-Llanos earned his Ph.D. in Applied Mathematical Modeling from the Universidad Católica del Maule (2021), where he developed innovative mathematical models to understand the structures of ecological communities, with a particular emphasis on predator-prey dynamics and the effects of body size on ecosystem stability. His doctoral research contributed to the fields of ecology, evolution, and natural resource management, leading to two WOS-indexed publications as the lead author.

His interdisciplinary research integrates mathematics, ecology, and agricultural sciences, leading to significant contributions in photosynthesis modeling, transpiration processes, stomatal conductance, water relations in crops, and sweet cherry phenology. He collaborates with researchers from the Agricultural Research Institute (INIA, Chile) on a project related to sweet cherry phenology using mathematical models.

Dr. Campillay-Llanos has also made contributions to Pure Mathematics, particularly in Proportional (Multiplicative) Calculus, and has researched Galois Differential Theory at the Institute of Mathematics in Toulouse, France. His work in this field has been published in both mathematical research journals and mathematical education journals. Furthermore, he translated the book Géométrie from French to Spanish in collaboration with its author, French mathematician Michel Carral.

His academic background includes a Master's in Mathematics from the University of Talca (2009) and a degree in Educational Statistics from the Universidad Metropolitana de Ciencias de la Educación (2007), where he graduated as the Best Student of the Faculty of Sciences with Highest Distinction, thanks to the Juan Gómez Millas Scholarship from the Ministry of Education of Chile.

To highlight the competencies and skills acquired throughout Dr. Campillay-Llanos's scientific career, his contributions are categorized into three stages:
Phenology, Plant Diseases, and Climate Change
Theoretical Ecology
Mathematics

Phenology
Dr. Campillay-Llanos has collaborated with researchers from CITRA in characterizing the ranges of key phenological stages, with the following publications:
a) Campillay-Llanos et al. (2024). Development and validation of phenological models for eight varieties of sweet cherry (Prunus avium L.) under Mediterranean climate conditions. Scientia Horticulturae.
b) Co-author in Ortega-Farías et al. (2024). Biomathematical modeling and phenology in sweet cherries: addressing the challenges of climate change. Chilecon IEEE.
c) Campillay-Llanos et al. (2024). Advances in the analysis of proportional electrical signals in digital devices: new tools for plant electrophysiology. Chilecon IEEE.

Plant Diseases
a) Co-author with Mauricio Lolas et al. (2023). Presence of Neofusicoccum parvum causing canker and branch dieback in European hazelnut in the Maule Region, Chile. Plant Diseases.
b) Co-author in Ortega-Farías et al. (2024). Digitized biomathematical models for the dynamic analysis of gray mold caused by Botrytis cinerea in wine grapes: perspectives and applications. Chilecon IEEE.

Climate Change
Dr. Campillay-Llanos has published the article:
a) Campillay-Llanos et al. (2024). Historical trends and projection of future scenarios for maximum summer temperatures in the southern hemisphere: central-southern Chile zone.

Theoretical Ecology
During his research in theoretical ecology, he proposes integrating metabolic theory, demographic theory, and coexistence theory. He presents the following publications:
a) Campillay-Llanos et al. (2024). Body size modulates demographic patterns of apex predators and native and invasive prey: a biomathematical approach. Ecología Austral.
b) Campillay-Llanos et al. (2022). Coexistence, energy, and trophic cascade in a three-level food chain integrating body sizes. Frontiers in Ecology and Evolution, 578.
c) Campillay-Llanos et al. (2021). Fisheries management strategies: evaluating the interaction between body size and global warming. Natural Resource Modeling.

Mathematics
In his stage of research in pure mathematics, he stands out for his leadership in the field of Multiplicative Calculus, with results presented at various national and international conferences. A significant work is:
Campillay-Llanos et al. (2020). Proportional differential and integral calculus: how to find an antiderivative for the Gaussian function. International Journal of Mathematical Education in Science and Technology.