Research 

2025

• Gutiérrez, R., Rojas-Jara, C. (2025). The importance of the individual’s micro-environment in drug consumption. Journal of Mathematical Biology, 91, 83. https://doi.org/10.1007/s00285-025-02313-x 

• Rivera-Estay, V., Moreno-Gómez, F. N., Córdova-Lepe, F., Gutiérrez, R., & Benítez, H. (2025). Studying the role of phenotypic change in biological invasion success through mathematical modeling. Journal of Mathematical Biology, 91, 61. https://doi.org/10.1007/s00285-025-02288-9 

• Moreno-Gómez, F. N., Carrasco-Rojas, J., Bartheld, J., Gutiérrez, R., & Penna, M. (2025). Acoustic activity monitoring of the Magellanic Woodpecker, an indicator species from the temperate forests of South America. Bioacoustics, 1–17. https://doi.org/10.1080/09524622.2025.2571647

• Rojas-Jara, C., Moreta-Herrera, R., Gutiérrez, R. (2025). Latin American Research on Drug Use (2013–2023): A Brief Exploratory Overview. In: Urzúa, A., Rosa-Rodríguez, Y. (eds) Handbook of Latin American Health Psychology. Springer, Cham. https://doi.org/10.1007/978-3-031-84433-1_20

• Córdova-Lepe, F., Gutiérrez, R., & Moreno-Gómez, F. (2025). The fishing Schaefer model with an adaptive effort law promoting equilibrium. Latin American Journal of Aquatic Research, 53(3), 518-527. doi: http://dx.doi.org/10.3856/vol53-issue3-fulltext-3198

• Saldaña-Núñez, V., Altamirano-Fernández, A., Hernández-Castañeda, R., & Gutiérrez, R. (2025). The energy allocation toward life-history functions: Link between the individual and population levels. Selecciones Matemáticas, 12(01), 132 - 141. https://doi.org/10.17268/sel.mat.2025.01.11

• Córdova-Lepe, F., Lara-Muñoz, F., Hernández-Castañeda, R., & Gutiérrez, R. (2025). Eigen-concepts in the multiplicative linear algebra context. Selecciones Matemáticas, 12(01), 142 - 154. https://doi.org/10.17268/sel.mat.2025.01.12

• Hernández, R., Lara-Munoz, F., Yupanqui-Concha, G., Rojas-Palma, A., & Gutiérrez, R. (2025). A predator-prey model based on the principle of biomass conversion with dynamic use of refuge in prey. Journal of Physics: Conference Series, 3117(1), 012009. https://doi.org/10.1088/1742-6596/3117/1/012009

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 (Submitted and under review)

• Rojas-Jara, C. et al. (2025) Consumo problemático de alcohol en personas mayores: una revisión sistemática de la evidencia.

2024

• Rivera-Estay, V., Córdova-Lepe, F., Moreno-Gómez, F.N., Benítez, H, & Gutiérrez, R. Exploring the effects of competition and predation on the success of biological invasion through mathematical modeling. Sci Rep 14, 4416 (2024). https://doi.org/10.1038/s41598-024-53344-1

2023

• Gutiérrez, R., Córdova-Lepe, F., and Acuña-Rodríquez I. S. (2023). A strategic mathematical model of waste disposal [Un modelo matemático estratégico de la disposición de residuos]. Revista de modelamiento matemático de sistemas biológicos 3(2), e23R10, 10.58560/rmmsb.v03.n02.023.11.

• Yoleidy Huérfano-Maldonado, Marco Mora, Karina Vilches, Ruber Hernández-García, Rodrigo Gutiérrez, Miguel Vera, A comprehensive review of extreme learning machine on medical imaging, Neurocomputing, 2023, 126618, https://doi.org/10.1016/j.neucom.2023.126618.

2022

• R. Gutiérrez, L. Cuesta-Herrera, H. Torres-Mantilla & N. Martínez-Jeraldo (2022) Mathematical modelling of binge drinking from social interactions, Journal of Difference Equations and Applications,  28:8, 1103-1134. DOI: 10.1080/10236198.2022.2116326

• R. Gutiérrez, J.G Vergaño-Salazar, C. Rojas-Jara & N. Martínez-Jeraldo (2022) Temporal dynamics of alcohol consumption patterns: The peer pressure and binge drinkers' role, Revista de Modelamiento Matemático de Sistemas Biológicos 2(2), 27-39. Access

• Gutiérrez, R., Córdova-Lepe, F., Moreno-Gómez, F.N. et al. Plastic energy allocation toward life-history functions in a consumer-resource interaction. J. Math. Biol. 85, 68 (2022). https://doi.org/10.1007/s00285-022-01834-z

2020

• Gutiérrez R., Córdova-Lepe F., Moreno-Gómez F.N., and Velásquez N.A. Persistence and size of seasonal populations on a consumer–resource relationship depends on the allocation strategy toward life-history functions. Sci Rep 10, 21401 (2020). https://doi.org/10.1038/s41598-020-77326-1 

• Gutiérrez R., Córdova-Lepe F., Muñoz-Quezada MT., and Gutiérrez-Jara JP. Model for a threshold of daily rate reduction of COVID-19 cases to avoid hospital collapse in Chile. Medwave 2020;20(3):e7871 doi: 10.5867/medwave.2020.03.7871

• Córdova-Lepe F., Gutiérrez R., and Gutiérrez-Jara JP. Number of COVID-19 cases in Chile at 120 days with data at 21/03/2020 and threshold of daily effort to flatten the epi-curve. Medwave 2020;20(2):e7861 doi: 10.5867/medwave.2020.02.7861

• Córdova-Lepe F., Gutiérrez R., and Vilches-Ponce K. Analysis of two discrete forms of the classic continuous SIR epidemiological model, Journal of Difference Equations and Applications, 26:1, 1-24 (2020),  doi: 10.1080/10236198.2019.1696323

2019

• Córdova-Lepe F., Cabrera M., Gutiérrez JP., and Gutiérrez R. Mathematical approach to the prevention-immigration causality of outbreaks of sexually transmitted diseases in Chile using HIV as a model. Medwave 2019;19(10):e7712 doi: 10.5867/medwave.2019.10.7712 

2017

• Gutiérrez R., and Vidal C. Stability of Equilibrium Points for a Hamiltonian Systems with One Degree of Freedom in One Degenerate Case. Regular and Chaotic Dynamics 22, 880–892 (2017), doi: 10.1134/S1560354717070097