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Doctorado en Modelamiento Matemático Aplicado


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6. Gelvez-Almeida, E.; Mora, M.; Barrientos, R.J.; Hernández-García, R.; Vilches-Ponce, K.; Vera, M. A Review on Large-Scale Data Processing with Parallel and Distributed Randomized Extreme Learning Machine Neural Networks. Math. Comput. Appl. 2024, 29, 40.

5. Yvan Baldera-Moreno, Camila Hernández, Aris Vargas, Alejandro Rojas-Palma, Rodrigo Morales-Vera, Rodrigo Andler, Effects of turning aeration and the initial carbon/nitrogen ratio on the biodegradation of polylactic acid under controlled conditions, International Journal of Biological Macromolecules, Volume 268, Part 1, 2024, 131689,

4. Altamirano-Fernández, A., Rojas-Palma, A. & Espinoza-Meza, S. Optimal Rotation Age in Fast Growing Plantations: A Dynamical Optimization Problem. Bull Math Biol 86, 51 (2024).

3. Salazar-Jurado, E.H., Vilches-Ponce, K., Hernández-García, R. et al. Palm vein modeling for generating synthetic images with biometric purposes: a geometrical approach. Comp. Appl. Math. 43, 108 (2024).

2. Rivera-Estay, V., Córdova-Lepe, F., Moreno-Gómez, F.N. et al. Exploring the effects of competition and predation on the success of biological invasion through mathematical modeling. Sci Rep 14, 4416 (2024).

1. Enith A. Gómez-Hernández, Felipe N. Moreno-Gómez, Fernando Córdova-Lepe, Moisés Bravo-Gaete, Nelson A. Velásquez, Hugo A. Benítez, Eco-epidemiological predator–prey models: A review of models in ordinary differential equations, Ecological Complexity,
Volume 57, 2024, 101071,


11. Herazo-Alvarez, J., Barria-Valdebenito, P., Mora, M., & Cuadros-Orellana, S. (2023, December). Metagenomic binning based on unsupervised extreme learning machine. In 2023 IEEE CHILEAN Conference on Electrical, Electronics Engineering, Information and Communication Technologies (CHILECON) (pp. 1-6). IEEE.

10. Centeno Mejia, A. A., & Bravo Gaete, M. F. (2023). Exploring the entropy complex networks with latent interaction. Entropy, 25(11), 1535.

9. Gómez-Hernández, E.A., Moreno-Gómez, F.N., Bravo-Gaete, M. et al. Concurrent dilution and amplification effects in an intraguild predation eco-epidemiological model. Sci Rep 13, 6425 (2023).

8. 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,

7. Rafael Lozada-Yavina, Carolina Marchant, Beatriz Cancino-Faure, Erix W. Hernández-Rodríguez, Fernando Córdova-Lepe, A description of the epidemiological dynamics of Chagas disease via mathematical modeling, Acta Tropica, Volume 243, 2023, 106930, ISSN 0001-706X,

6. E. Gelvez-Almeida, R. J. Barrientos, K. Vilches-Ponce and M. Mora, "A Parallel Computing Method for the Computation of the Moore–Penrose Generalized Inverse for Shared-Memory Architectures," in IEEE Access, vol. 11, pp. 134834-134845, 2023, doi: 10.1109/ACCESS.2023.3338544

5. 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, Volume 556, 2023, 126618,

4. Duque-Marín, E., Rojas-Palma, A., & Carrasco-Benavides, M. (2023). A soil water indicator for a dynamic model of crop and soil water interaction. Mathematical Biosciences and Engineering: MBE, 20(8), 13881-13899. doi: 10.3934/mbe.2023618

3. Baldera-Moreno, Y., Rojas-Palma, A., Andler, R., & Cuesta-Herrera, L. (2023, May). Mathematical model of polylactic acid biodegradation under controlled composting conditions. In Journal of Physics: Conference Series (Vol. 2515, No. 1, p. 012004). IOP Publishing. 10.1088/1742-6596/2515/1/012004

2. Altamirano-Fernández, A., Rojas-Palma, A., & Espinoza-Meza, S. (2023, May). Existence of solutions for an optimal control problem in forestry management. In Journal of Physics: Conference Series (Vol. 2515, No. 1, p. 012001). IOP Publishing.10.1088/1742-6596/2515/1/012001

1. Altamirano-Fernández, A., Rojas-Palma, A., & Espinoza-Meza, S. (2023). Optimal management strategies to maximize carbon capture in forest plantations: a case study with pinus radiata D. Don. Forests, 14(1), 82.


15. 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

14. 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.

13. 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

12. 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.

11. 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,

10. 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.

9. 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

8. 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

7. 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

6. 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). 

5. Díaz-González V, Rojas-Palma A, Carrasco-Benavides M. How Does Irrigation Affect Crop Growth? A Mathematical Modeling Approach. Mathematics. 2022; 10(1):151.

4. 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.

3. 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

2. 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

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


6. 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.
5. 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
4. 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
3. 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
2. 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,
1. Duque-Marín, A. Rojas-Palma, M Carrasco-Benavides (2021) Mathematical modeling of fruit trees’ growth under scarce watering J. Phys.: Conf. Ser. 2046 012017


4. 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).

3. 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

2. 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

1. 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


6. 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,
5. 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,
4. 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
3. 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,
2. 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
1. 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


3. 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.
2. 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.
1. 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
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