Doctorado Modelamiento Matemático


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Edwin H. Salazar-Jurado, Ruber Hernández-García, Karina Vilches-Ponce, Ricardo J. Barrientos, Marco Mora, Gaurav Jaswal, Towards the generation of synthetic images of palm vein patterns: A review, Information Fusion, Volume 89, 2023, Pages 66-90,


Cuesta-Herrera L, Pastenes L, Córdova-Lepe F, Arencibia AD, Torres-Mantilla H, Gutiérrez-Jara JP. Analysis of SEIR-type models used at the beginning of COVID-19 pandemic reported in high-impact journals. Medwave 2022;22(8):e2552 doi: 10.5867/medwave.2022.08.2552

Ramirez-Carrasco C, Córdova-Lepe F, Velásquez N. A Simple Stability Analysis for a Mathematical Model of Migration Due to Noise and Resources. Mathematics. 2022; 10(19):3485.

Campillay-Llanos W, Córdova-Lepe FD and Moreno-Gómez FN (2022) Coexistence, Energy, and Trophic Cascade in a Three-Level Food Chain Integrating Body Sizes. Front. Ecol. Evol. 10:821176. doi: 10.3389/fevo.2022.821176

C. Ramirez-Carrasco, F. Córdova-Lepe, F.N. Moreno-Gómez, N.A. Velásquez, A mathematical model for the impact of noise on population dynamics of a single species experiencing Lombard effect, Ecological Modelling, Volume 470, 2022.

Castillo Benjamín, Pastenes Luis, Córdova-Lepe Fernando, Modeling the effects of pH variation and bacteriocin synthesis on bacterial growth, Applied Mathematical Modelling, Volume 110, 2022, Pages 285-297,

Saldaña-Núñez, V. Córdova-Lepe, F. & Moreno-Gómez, F. N. (2022). epcc: An R package to assess and simulate the vulnerability of ectothermic populations when facing climate change. Methods in Ecology and Evolution, 13, 955– 962.
J G Vergaño-Salazar, F Córdova-Lepe,, L Pastenes, L Cuesta-Herrera, and R Lozada-Yavina, (2022) Impulsive simulation model for the dynamics of allergen immunotherapy, J. Phys.: Conf. Ser. 2153 012016
L Cuesta-Herrera, L Pastenes, F Córdova-Lepe, A D Arencibia and H A Torres-Mantilla (2022) Cell lysis analysis for respiratory viruses through simulation modeling. J. Phys.: Conf. Ser. 2159 012002

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, 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 (2022). 

Díaz-González V, Rojas-Palma A, Carrasco-Benavides M. How Does Irrigation Affect Crop Growth? A Mathematical Modeling Approach. Mathematics. 2022; 10(1):151.
Vásquez-Coronel JA, Mora M, Vilches K. Training of an Extreme Learning Machine Autoencoder Based on an Iterative Shrinkage-Thresholding Optimization Algorithm. Applied Sciences. 2022; 12(18):9021.

A Altamirano-Fernández, A Rojas-Palma, S Espinoza-Meza (2022) A mathematical model to study the dynamics of carbon capture in forest plantations J. Phys.: Conf. Ser. 2159 012001

E Duque-Marín, A Rojas-Palma, M Carrasco-Benavides (2022) Simulations of an impulsive model for the growth of fruit trees, J. Phys.: Conf. Ser. 2153 012018

González-Olivares, E., Rivera-Estay, V., Rojas-Palma, A. et al. A Leslie–Gower type predator-prey model considering herd behavior. Ricerche mat (2022).


Campillay-Llanos, W., Saldaña-Núnez, V., Córdova-Lepe, F., & Moreno-Gómez, F. N. (2021). Fish catch management strategies: Evaluating the interplay between body size and global warming. Natural Resource Modeling, 34, e12331.
Salazar, E.; Hernández-García, R.; Barrientos, R. J.; Vilches, K.; Mora, M.; Vásquez, A.: 'Generating Style-based Palm Vein Synthetic Images for the Creation of Large-Scale Datasets', IET Conference Proceedings, , p. 182-187, DOI: 10.1049/icp.2021.1451
Salazar, E.; Hernández-García, R.; Barrientos, R. J.; Vilches, K.; Mora, M.; Vásquez, A.: 'Automatic Generation of Synthetic Palm Vein Images: a Nature-based Approach', IET Conference Proceedings, , p. 38-43, DOI: 10.1049/icp.2021.1452

A Vásquez, M Mora, V Aubin, E Salazar, R Barrientos, R Hernandez and K Vilches (2021) Writer verification based on simple graphemes and extreme learning machine approaches J. Phys.: Conf. Ser. 1671 012004

Marcela Salazar-Viedma, Juan Gabriel Vergaño-Salazar, Luis Pastenes, Vivian D’Afonseca, Simulation Model for Hashimoto Autoimmune Thyroiditis Disease, Endocrinology, Volume 162, Issue 12, December 2021, bqab190,

 Duque-Marín, A. Rojas-Palma, M Carrasco-Benavides (2021) Mathematical modeling of fruit trees’ growth under scarce watering J. Phys.: Conf. Ser. 2046 012017


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).

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


J.P. Gutiérrez-Jara, F.D. Córdova-Lepe, M.T. Muñoz-Quezada, Dynamics between infectious diseases with two susceptibility conditions: A mathematical model., Mathematical Biosciences, Volume 309, 2019, Pages 66-77,
María Teresa Muñoz-Quezada, Boris Lucero, Asa Bradman, Kyle Steenland, Liliana Zúñiga, Antonia M. Calafat, María Ospina, Verónica Iglesias, María Pía Muñoz, Rafael J. Buralli, Claudio Fredes, Juan Pablo Gutiérrez, An educational intervention on the risk perception of pesticides exposure and organophosphate metabolites urinary concentrations in rural school children in Maule Region, Chile, Environmental Research, Volume 176, 2019, 108554,

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

M Acevedo-Letelier, K Vilches and M Mora (2019) Contour detection in images with speckle by using the bi-geometric structure, J. Phys.: Conf. Ser. 1160 012010,

E Duque-Marín, J G Vergaño-Salazar, I Duarte-Gandica and K Vilches (2019) Mathematical modelling of some poliomyelitis vaccination and migration scenarios in Colombia J. Phys.: Conf. Ser. 1160 012021

V Saldaña-Núñez, F Córdova-Lepe and F N Moreno-Gómez (2019) Population dynamics in the face of climate change: Analysis of a cubic thermal performance curve in ectotherms J. Phys.: Conf. Ser. 1329 012007


Córdova-Lepe FD, Gutiérrez Jara JP, Muñoz Quezada MT. An index to quantify individual social responsibility in the decision to be vaccinated. Medwave. 2018 Aug;18(4):e7237. DOI: 10.5867/medwave.2018.04.7237. PMID: 30216336.

Muñoz-Quezada, M. T., Lucero, B., Bradman, A., Muñoz, M. P., Buralli, R. J., Fredes, C., & Gutiérrez, J. P. (2019). Maule Region, Chile. Running title: Organophosphate pesticides exposure in rural school children in Chile.

Acevedo-Letelier, M.; Vilches, K.; Mora, M.: 'A multi-directional Gradient with Bi-Geometric Calculus to Detect Contours in Images with Multiplicative Noise', IET Conference Proceedings, 2018, p. 8 (7 pp.)-8 (7 pp.), DOI: 10.1049/cp.2018.1284