Publicaciones

Libros

Cruz Vargas-De-León (Editor) Recent Advances in Medical Statistics. IntechOpen, 2022. 214 páginas.

Artículos

2025

  • L. X. Vivas-Cruz,, C. Martínez-Lázaro, Cruz Vargas-De-León (2025). A mathematical and numerical study of an age-dependent transactivation model for dynamics of HIV infection. AIMS Mathematics, 10(6), 14560–14595. https://doi.org/10.3934/math.2025069
  • Hernández-Ponce, L., Pardo-Pacheco, B. R., Calzada-Mendoza, C. C., González-Guzmán, O. P., Aguilar-Maciel, S., & Vargas-De-León, C. (2025). Validation of the Emotional Eating Questionnaire in Mexican adults with overweight and obesity. Nutrición Hospitalaria, In Press.
  • Ibáñez-Cervantes, J. L., Vargas-De-León, C., Veléz-Reséndiz, J. M., Fernández-Sánchez, V., Saavedra-Bravo, R., Bandala, C., Olvera-Gómez, I., Mancilla-Ramírez, J., & Ibáñez-Cervantes, G. (2025). Association of ALS genes in strains of the genus Candida with cervical cytological alterations. Indian Journal of Medical Microbiology, 54, 100795.
  • Garcia-Coste, J. J., Villafaña-Rauda, S., Aguayo-Cerón, K. A., Vargas-De-León, C., & Romero-Nava, R. (2025). KLF14 and SREBF-1 binding site associations with orphan receptor promoters in metabolic syndrome. International Journal of Molecular Sciences, 26(7), 2849.

2024

  • Pardo-Pacheco, B. R., González-Guzmán, O. P., Aguilar-Maciel, S. H., Olivares-Bernal, L., & Vargas-De-León, C. (2024). Riesgo de diabetes en personal de salud en el área COVID-19 en un hospital de tercer nivel. REDCieN, 12, 10–18.
  • Vazquez-Peña, M. G., Vargas-De-León, C., Martínez-Fonseca, R., & Velázquez-Castro, J. (2024). Estimación bayesiana del número reproductivo básico en un brote de Chikungunya en Acapulco, Guerrero. Boletín de la Sociedad Mexicana de Computación Científica y sus Aplicaciones, 4, 1–13.
  • Vazquez-Peña, M. G., Vargas-De-León, C., & Velázquez-Castro, J. (2024). Global stability for a mosquito-borne disease model with continuous-time age structure in the susceptible and relapsed host classes. Mathematical Biosciences and Engineering, 21(11), 7582–7600.
  • Ibáñez-Cervantes, G., Cruz-Bautista, J. D., Vargas-De-León, C., Rojas-Bernabé, A., Ramírez-Cortina, C. R., & Nogueda-Torres, B. (2024). Ozone and peroxone disinfection of Toxocara canis eggs in water. Tropical Biomedicine, 41(1), 45–51.
  • García-Villegas, E. A., Vargas-De-León, C., Villa-Romero, A. R., Valdovinos, I. I., & Márquez-González, H. (2024). Study of the metabolic syndrome severity index as a predictive factor of a major of cardiovascular event in premenopausal women with systemic lupus erythematosus. Medicina Clínica (English Edition), 163(2), 62-69.
  • Contreras-Hernández, I. F., Vargas-De-León, C., García-Cortes, L. R., Flores-Miranda, A., Romero-Nava, R., & Ocharán-Hernández, M. E. (2024). Comparison of Ten Surrogate Insulin Resistance and Obesity Markers to Identify Metabolic Syndrome in Mexican Adults. Metabolites, 14(7), 358.
  • Alvarado-Castro, V. M., Vargas-De-León, C., Paredes-Solis, S., Li-Martin, A., Nava-Aguilera, E., Morales-Pérez, A., & Andersson, N. (2024). The influence of gender and temephos exposure on community participation in dengue prevention: a compartmental mathematical model. BMC Infectious Diseases, 24(1), 463.
  • Acevedo-Villavicencio, L. N., López-Luna, C. E., Castillo-Cruz, J., Gutiérrez-Rojas, R. A., Paredes-González, I. S., Villafaña, S., Vargas-De-León, C., Aguayo-Cerón, K. A. (2024). Modulator Effect of AT1 Receptor Knockdown on THP-1 Macrophage Proinflammatory Activity. Biology, 13(6), 382.
  • Ventura-Enríquez, Y., Cortina-De la Rosa, E., Díaz-Padilla, E., Murrieta, S., Segundo-Martínez, S., Fernández-Sánchez, V., & Vargas-De-León, C. (2024). Immunogenicity of Two Doses of BNT162b2 mRNA COVID-19 Vaccine with a ChAdOx1-S Booster Dose among Navy Personnel in Mexico. Viruses, 16(4), 551
  • Pérez-Castro, E., Guzmán-Martínez, M., Godínez-Jaimes, F., Reyes-Carreto, R., Vargas-de-León, C., Aguirre-Salado, A. I. Spatial Survival Model for COVID-19 in México. Healthcare (2024) 12(3) p. 306.
  • Carlos Enrique López-Luna, Cruz Vargas-De-León, Rocio Alejandra Gutiérrez-Rojas, Karla Aidee Aguayo-Cerón, Claudia Camelia Calzada-Mendoza, Fengyang Huang, Rodrigo Romero-Nava, Maria Esther Ocharan-Hernandez (2024), Effect of Zoapatle (Montanoa tomentosa) on Inflammatory Markers in a Murine Model of Ventricular Hypertrophy. Scientia Pharmaceutica, 1-14.
  • Álvarez-Cuesta J. A., Mora-Batista C., Reyes-Carreto R., Carrillo-Rodes F. J., Fitz S. J. T., González-Zaldivar Y., Vargas-De-León C. (2024). On the Cut-Off Value of the Anteroposterior Diameter of the Midbrain Atrophy in Spinocerebellar Ataxia Type 2 Patients. Brain Sciences, 14(1), 53.

2023

  • Alfaro-Alvarado F. A., Rosas-Barrientos J. V., Ocharan-Hernández M. E., Díaz-Chiguer D., Vargas-De-León C.(2023). Association between Sarcopenia and Poor Glycemic Control in Older Adults with Type 2 Diabetes Mellitus. Diseases, 11(4), 175.
  • Vargas-De-León C., Cureño-Díaz M. A., Salazar M. I., Cruz-Cruz C., Loyola-Cruz M. Á., Durán-Manuel E. M., Ibáñez-Cervantes, G. (2023). Neutralizing Antibodies against SARS-CoV-2: Importance of Comorbidities in Health Personnel against Reinfections. Viruses, 15(12), 2354.
  • Durán-Manuel E. M., Bello-López J. M., Salinas-Bobadilla A. D., Vargas-De-León C., Nieto-Velázquez N. G., Moreno-Eutimio M. A., Blanco-Hernández D. M. R. (2023). Molecular Characterization of Bacterial Agents Causing External Ocular Infections Isolates of Patients in a Third Level Hospital. Pathogens, 12(11), 1294.
  • S. Guerrero-Flores, O. Osuna, and C. Vargas-De-León. Periodic solutions of seasonal epidemiological models with information-dependent vaccination, Math. Meth. Appl. Sci. (2023), 1–12, DOI 10.1002/mma.9728 •
  • Rafael Martínez-Fonseca, Cruz Vargas-De-León, Ramón Reyes-Carreto, Flaviano Godínez-Jaimes. Bayesian analysis of the effect of exosomes in a mouse xenograft model of chronic myeloid leukemia. Mathematical Biosciences and Engineering, 2023, 20(11): 19504-19526.
  • Corzo-Gómez, J.; Guzmán-Aquino, S.; Vargas-De-León, C.; Megchún-Hernández, M.; Briones-Aranda, A. Bayesian Analysis Used to Identify Clinical and Laboratory Variables Capable of Predicting Progression to Severe Dengue among Infected Pediatric Patients. Children 2023, 10, 1508.
  • María Guadalupe Vázquez-Peña, Cruz Vargas-De-León, Jorge Fernando Camacho-Pérez, Jorge Velázquez-Castro. Analysis and Bayesian estimation of a model for Chikungunya dynamics with relapse: An outbreak in Acapulco, Mexico. Mathematical Biosciences and Engineering, 2023, 20(10): 18123-18145.
  • Miguel Ángel Rodríguez-Parra, Cruz Vargas-De-León, Flaviano Godinez-Jaimes, Celia Martinez-Lázaro. Bayesian estimation of parameters in viral dynamics models with antiviral effect of interferons in a cell culture. Mathematical Biosciences and Engineering, 2023, 20(6): 11033-11062. doi: 10.3934/mbe.2023488
  • Cruz Vargas-De-León, Juan Carlos Sierra-Rojas, Celia Martínez-Lázaro, Miguel Ángel Rodríguez-Parra, Sobre la Modelación Matemática y el Análisis de las Infecciones Virales, Abstraction & Application 39 (2023) 47-83.
  • MA Rodríguez-Parra, F Godinez-Jaimes, C Vargas-De-León, C Martínez-Lázaro. Bayesian estimation of parameters in viral dynamics models with antiviral effect of interferons in a cell culture. Mathematical Biosciences and Engineering, 20 (6), 11033–11062.
  • Carlos Pantoja-Meléndez, Guadalupe García-De la Torre, Mónica Duran-Robertson, Kenneth Peterson-Marquard, Silvia Núñez-Amador, Víctor Gomez-Bocanegra, Gabriela Ibañez Cervantes, Cruz Vargas-De-León, Monica Cureño-Diaz, COVID-19 outbreak during summer courses at an elementary school. Children 10 (418) 2023 1-12.
  • Morales-Delgado, V. F., Taneco-Hernández, M. A., Vargas-De-León, C., & Gómez-Aguilar, J. F. (2023). Exact solutions to fractional pharmacokinetic models using multivariate Mittag-Leffler functions. Chaos, Solitons & Fractals, 168, 113164.
  • Li-Martın, A., Reyes-Carreto, R., & Vargas-De-León, C. Dynamics of a dengue disease transmission model with two-stage structure in the human population. Mathematical Biosciences and Engineering, 20(1), 2023, 955-974.

2022

  • Gutiérrez-Rojas, R. A., Aguayo-Cerón, K. A., Vargas-De-León, C., Cabrera-Becerra, S. E., Almanza-Pérez, J. C., Huang, F., Villafaña, S., Romero-Nava, R. Glycine Effect on the Expression Profile of Orphan Receptors GPR21, GPR26, GPR39, GPR82 and GPR6 in a Model of Inflammation in 3T3-L1 Cells. Life, 12(11), 2022, 1687.
  • Ventura-Enríquez, Y., Cabello-Gutiérrez, C., Pérez-Calatayud, Á. A., Cortina-De la Rosa, E., Fareli-González, C. J., Castillo-Juárez, P., … , Vargas-De-León, C., Fernández-Sánchez, V. (2022). Convalescent Plasma to Treat COVID-19: A Two-Center, Randomized, Double-Blind Clinical Trial. Life, 12(11), 1767.
  • Garduño-Crespo, A., del Carmen Velázquez-Núñez, M., Cervantes-Guzmán, B. E., Ibañez-Cervantes, G., & Vargas-De-León, C. Mechanical complications of weekly care and maintenance versus once every 10 days of the peripherally inserted central catheter line insertion site in newborns: A propensity score-matched cohort study in Mexico. Journal of Pediatric Nursing, 2022.
  • Juan Carlos Sierra-Rojas, Ramón Reyes-Carreto, Cruz Vargas-De-León, Fernando Camacho-Perez, Modeling and mathematical analysis of the dynamics of HPV in cervical epithelial cells: Transient, acute, latency and chronic infections, Computational and Mathematical Methods in Medicine, 2022, 1-23.
  • Eduardo Pérez-Castro, Flaviano Godínez-Jaimes, Martín Uriel Vázquez-Medina, Esther Ocharan, Cruz Vargas-De-León, Derivation and validation of sex-specific continuous metabolic syndrome scores for the Mexican adult population, Scientific Reports 12, 9659 (2022) 1-11.
  • Martín Uriel Vázquez-Medina, Eira Cerda, Alberto Galeana-Pavón, Carlos Enrique López-Luna, Patty Marlen Ramírez-Portillo, Gabriela Ibañez-Cervantes, Julián Torres-Vázquez, Cruz Vargas-De-León, Interaction of metabolic dysfunction-associated fatty liver disease and nonalcoholic fatty liver disease with advanced fibrosis in the death and intubation of patients hospitalized with coronavirus disease 2019, Hepatology Communications 2022, 1-11.
  • Manuel Solis-Navarro, Cruz Vargas-De-León, María Guzmán-Martínez, Josselin Corzo-Gómez, A Bayesian prediction spatial model for confirmed dengue cases in the State of Chiapas, Mexico, Journal of Tropical Medicine 2022 (2022) 1-13.
  • Cruz Vargas-De-León, Global stability of nonhomogeneous coexisting equilibrium state for the multi–species Lotka–Volterra mutualism models with difusión, Mathematical Methods in the Applied Sciences 45 (4) (2022) 2123-2131.
  • Yuridia Arellano-García, Cruz Vargas-De-León, María Guzmán-Martínez, Ramón Reyes-Carreto, A Simple Mathematics Motivation Scale and Study of Validación in Mexican Adolescents, SAGE Open 12 (1), (2022) 1-7.
  • Hugo Cuellar-Gomez, Siti Mayuha Rusli, María Esther Ocharan-Hernández, Tae-Hoon Lee, Guglielmo Niccolò Piozzi, Seon-Hahn Kim, Cruz Vargas-De-León, Operative and survival outcomes of robotic-assisted surgery for colorectal cancer in elderly and very elderly patients: a study in a tertiary hospital in South Korea, Journal of Oncology 2021 (2021), 1-13.
  • Gustavo Esteban Lugo- Zamudio, Antonio Aguilar-Rojas, Martin Uriel Vázquez-Medina, Antonio Gutiérrez-Ramírez, Ma. Cristina Upton-Alvarado, Patricia Espinoza-Rivas, Gustavo Lagunas-Torres, María Isabel Rojo-Gutiérrez, Gabriela Ibáñez-Cervantes, Cruz Vargas-De-León, Epidemiological and clinical characteristics of hospitalized pediatric patients with SARS-CoV-2 infection in Mexico City, México, Canadian Journal of Infectious Diseases and Medical Microbiology 2022 (2022) 1-9.
  • Martín Uriel Vázquez-Medina, Eira Cerda-Reyes, Arcelia Carolina Barrón-Campos, José Antonio Almeyda-Farfán, María Esther Ocharan-Hernández, Cruz Vargas-De-León, Association of ABO blood type with mortality in hospitalized patients with COVID-19, Horizonte Sanitario 21 (1), (2022) 17-24.

2021

  • Fernando Camacho, Cruz Vargas-De-León, Stability, bifurcation and a pair of conserved quantities in a simple epidemic system with reinfection for the spread of diseases caused by coronaviruses, Discrete Dynamics in Nature and Society 2021 (2021) 1-18.
  • O. Castillo, Z. Hammouch, A. Atangana, Cruz Vargas-De-León, K. Allali. Preface of the Special Issue: «Fuzzy Logic and Its Application to Modeling Epidemies: Coronavirus and Beyond» Applied and Computational Mathematics 20 (1) (2021) 1-4.

2020

  • MA. Taneco-Hernández, C. Vargas-De-León. Stability and Lyapunov functions for systems with Atangana-Baleanu Caputo derivative: An HIV/AIDS epidemic model. Chaos Solitons & Fractals 132 (2020) 109586.
  • G. Ibañez-Cervantes, G. León-García, C. Vargas-De-León, G. Castro-Escarpulli, C. Bandala, O. Sosa-Hernández, J. Mancilla-Ramírez, A. Rojas-Bernabé, A. Cureño-Díaz, EM. Durán-Manuel, C. Cruz-Cruz, JC. Bravata-Alcántara, D. Juárez-Ascencio, J. Manuel Bello-López. Epidemiological behavior and current forecast of syphilis in Mexico: increase in male population. Public Health, 185 (2020) 386-393.
  • G. Arias-Hernández, C. Vargas-De-León, C.C. Calzada-Mendoza, E. Ocharan-Hernández. Efficacy of diltiazem for the control of blood pressure in puerperal patients with severe preeclampsia: A randomized, single-blind, controlled trial. International Journal of Hypertension, vol. 2020, Article ID 5347918, 8 pages, 2020.
  • M.D. Marín-Soto, C. Vargas-De-León, NM Pérez-Vielma, M Castillo-Ramírez, Á Miliar-García, MM Murillo-Tovar, B Méndez-Peña, VR Aguilera-Sosa. Intense craving for appetizing foods: validation and standardization of the Food Cravings Questionnaire-Trait in Mexico. Gaceta medica de Mexico 156(1) 2020, 27-33.
  • V. Ricardo Aguilera Sosa, ML. Sevilla-González, C. Bandala, C. Vargas-De-León, E. Lara-Padilla, MD.  Marín Soto, BI.  Méndez Peña, MM. Mirillo Tovar, Efficacy of cognitive-behavioral therapy for habit modification and drug adherence in obesity, Acta de Investigación Psicológica 10(1). 2020.
  • MC. Ambrosio-Cheng, R. Espinoza-Pérez, J. Cruz-Santiago, A. Cedillo-Galindo, Y. Roció Carreño-Rodríguez, A. Othón Guerrero-Rosario, A. Robledo-Meléndez, A. Ibarra-Villanueva, E. Mera-Jiménez, RA. Bobadilla, C. Vargas-De-León, JC. Hernandez-Rivera, R- Paniagua, Complications of renal transplantation that influence the presence of hyperuricemia in its first year of evolution. Transplantation Proceedings, 52(4) (2020) 1147-1151.

2015 – 2019

  • C. Martínez-Lázaro, M.A. Taneco-Hernández, R. Reyes-Carreto, C. Vargas-De-León. The existence of a conserved quantity and stability of an in vitro virus infection dynamics model with absorption effect. Computational and Mathematical Methods in Medicine. Volume 2019, Article ID 2954041, 10 pages.
  • S. Guerrero-Flores, O. Osuna, C. Vargas-De-León. Periodic solutions for seasonal SIQRS models with nonlinear infection terms. Electronic Journal of Differential Equations, 2019(92), 1-13.
  • M. Martin-Manzo, C. Lara, C. Vargas-De-León, J. Carrero; G. Queipo, Miguel Fonseca, N. Mejia-Dominguez, D. Kershenobich, S. Mummidi, A. Zentella-Dehesa, J. Hernández. Interaction of breast cancer and insulin resistance on PD1 and TIM3 expression in peripheral blood CD8 T cells. Pathology & Oncology Research 25 (3) 2019, 1233-1243.
  • R. Peralta, P. García, A. Valdivia, A. López, T. Apresa, D. Hernández, F. Gallegos, I. Alvarado-Cabrero, C. Vargas-De-León, S. Dávila, P. Romero, M. Salcedo, HPV could be a potential factor of survival in laryngeal cancer: a preliminary study in Mexican patients, Asian Pacific Journal of Cancer Prevention, 41(19) 2018, 1711-1716.
  • A. Cabrera-Becerril, C. Vargas-De-León, S. Hernández, P. Miramontes, R. Peralta, Modeling the dynamics of progression of chromosomal alterations in cervical cancer: A computation model, PloS One, 12(7) (2017) e0180882.
  • O. Osuna, J.Rodríguez Ceballos, C. Vargas-De-León, G. Villaseñor Aguilar, A note on the existence and construction of Dulac functions, Nonlinear Analysis: Modelling and Control, 22(4) (2017) 431-440.
  • C. Vargas-De-León, A. D’Onofrio, Global Stability of Infectious Disease Models with Contact Rate as a Function of Prevalence Index, Mathematical Biosciences and Engineering, 14(4) (2017) 1019-1033.
  • E. Lozano-Ochoa, J. F. Camacho, C. Vargas-De-León, Qualitative Stability Analysis of an Obesity Epidemic Model with Social Contagion, Discrete Dynamics in Nature and Society, vol. 2017, Article ID 1084769, 12 pages, 2017.
  • L. Esteva, C. Vargas, C. Vargas-De-León, The role of asymptomatics and dogs on leishmaniasis propagation, Mathematical Biosciences, 293 (2017) 46-55.
  • C. Vargas-De-León, Global stability properties of age-dependent epidemic models with varying rates of recurrence, Mathematical Methods in the Applied Sciences, 39(8) (2016) 2057-2064.
  • E. Ávila-Vales, N. Chan-Chí, G. García-Almeida, C. Vargas-De-León. Stability and Hopf Bifurcation in a delayed viral infection model with mitosis transmission, Applied Mathematics and Computation 259 (2015) 293–312.
  • C. Vargas-De-León, Global stability for multi-species Lotka-Volterra cooperative systems: One hyper-connected mutualistic-species, International Journal of Biomathematics, 08, 1550039 (2015) 9 pages.
  • O. Osuna, C. Vargas-De-León, Construction of Dulac functions for mathematical models in population biology, International Journal of Biomathematics, 08, 1550035 (2015) 20 pages.
  • C. Vargas-De-León, Volterra-type Lyapunov functions for fractional-order epidemic systems, Communications in Nonlinear Science and Numerical Simulation, 24 (2015) 75–85.
  • C. Vargas de León, Noé Chan Chí, Eric Ávila Vales. Global analysis of virus dynamics model with logistic mitosis, cure rate and delay in virus production. Mathematical Methods in the Applied Sciences 38 (2015) 646-664.
  • O. Osuna, C. Vargas-De-León, Gabriel Villaseñor-Aguilar, G. Villavicencio Pulido. On the Dulac functions for vector fields. Colección Avanza de la UACJ, 5, 15-25 (2015).
  • R. Peralta, C. Vargas-De-León, P. Miramontes, Global stability results in a SVIR epidemic model with immunity loss rate depending of the vaccine-age, Abstract and Applied Analysis, Volume 2015 (2015), Article ID 341854, 8 pages.
  • J. Alavéz Ramírez, M. Vidaña Cano, J. López Estrada, C. Vargas-De-León, Un modelo matemático para el VIH/SIDA, Journal of Basic Sciences 1, 1-18 (2015).
  • C. Vargas-De-León, Lyapunov functionals for global stability of Lotka-Volterra cooperative systems with discrete delays, Abstraction & Application 12, 42-50 (2015).

2008 – 2014

  • C. Vargas-De-León, L. Esteva, A. Korobeinikov, Age-dependency in host-vector models: a global analysis, Applied Mathematics and Computation (2014) 969-981.
  • R. Peralta, C. Vargas-De-León, A. Cabrera, P. Miramontes, Dynamics of high-risk non-vaccine Human Papillomavirus types after actual vaccination scheme, Computational and Mathematical Methods in Medicine, Volume 2014 (2014), Article ID 542923, 8 pages.
  • C. Vargas-De-León, The complete classification for global dynamics of a model for the persistence of HTLV-I infection, Applied Mathematics and Computation (2014) 237, 489-493.
  • C. Vargas-De-León, Global properties for a virus dynamics model with lytic and nonlytic immune responses, and nonlinear immune attack rates, Journal of Biological Systems (2014) 22, 1-24.
  • B. Buonomo, C. Vargas-De-León. Effects of mosquitoes host choice on optimal intervention strategies for malaria control, Acta Applicandae Mathematicae 132 (2014) 127-138.
  • B. Buonomo, D. Lacitignola, C. Vargas-De-León, Qualitative analysis and optimal control of an epidemic model with vaccination and treatment, Mathematics and Computers in Simulation (2014) 100, 88–102.
  • C. Vargas-De-León, Andrei Korobeinikov. Global stability of a population dynamics model with inhibition and negative feedback. Mathematical Medicine & Biology (2013) 30, 65–72.
  • B. Buonomo, C. Vargas-De-León, Stability and bifurcation analysis of a vector-bias model of malaria transmission, Mathematical Biosciences (2013) March 242(1) 59-67.
  • C. Vargas-De-León, L. Esteva, Global stability analysis of virus dynamics models with linear immune response, Eureka 30, 22-35 (2013).
  • O. Osuna, C. Vargas-De-León, G. Villaseñor-Aguilar. A note on the Dulac functions for a sum of vector fields. Colección Avanza de la UACJ, (2013), 8 p. (ISBN 978-607-9224-52-3).
  • C. Vargas-De-León, G. Gómez-Alcaraz, Global stability in some ecological models of commensalism between two species. Biomatemática 23 (2013). 8 p. UmaPublicação do Grupo de Biomatematica IMECC-UNICAMP. (ISSN 1679-365X)
  • C. Vargas-De-León. On the global stability of infectious diseases models with relapse, Abstraction & Application 9, 50-60 (2013).
  • Osvaldo Osuna, Joel Rodríguez, Cruz Vargas-De-León and Gabriel Villaseñor. Dulac Functions for Transformed Vector Fields, International Journal of Contemporary Mathematical Sciences, Vol. 8, 2013, no. 6, 291 – 297.
  • C. Vargas-De-León, Lyapunov functions for two-species cooperative systems. Applied Mathematics and Computation, 219(5), 2012, Pages 2493–2497.
  • C. Vargas-De-León, Stability analysis of a model for HBV infection with cure of infected cells and intracellular delay. Applied Mathematics and Computation 219 (2012) 389–398.
  • C. Vargas-De-León. Global analysis of a delayed vector-bias model for malaria transmission with incubation period in mosquitoes. Mathematical Biosciences and Engineering, 9 (2012) 165 – 174.
  • C. Vargas-De-León. Analysis of a Model for the Dynamics of Hepatitis B with Noncytolytic Loss of Infected Cells. World Journal of Modelling and Simulation Vol. 8 (2012) No. 4, pp. 243-259.
  • G. Gómez-Alcaraz and C. Vargas-De-León. Modeling control strategies for influenza A H1N1 epidemics: SIR models. Revista Mexicana de Física S 58 (1) 37–43, 2012.
  • C. Vargas-De-León. On the Global Stability of SIS, SIR and SIRS Epidemic Models with Standard Incidence.Chaos, Solitons & Fractals, Vol 44(12), 1106-1110 (2011).
  • B. Buonomo  and C. Vargas de León. Global stability for an HIV-1 infection model including an eclipse stage of infected cells. Journal of Mathematical Analysis and Applications, 385 (2012) 709–720.
  • C. Vargas-De-León. Global properties for virus dynamics model with mitotic transmission and intracellular delay. Journal of Mathematical Analysis and Applications, 381(2)884-890, (2011).
  • G. Horemheb-Rubio, C. Vargas-De-León, G. Gómez-Alcaraz, E. J. Ramirez-Lizardo, D. KershenobichStalnikowitz. Inhibition of VIH-1 by GBVC. Revista ECIPERÚ, 8(1) (2011) 30–38. Revista electronica.
  • C. Vargas-De-León. Stability Analysis of a SIS Epidemic Model with Standard Incidente, Foro-Red-Mat: Revista Electrónica de Contenido Matemático,Vol 28, Num. 4, 1-11 (2011).
  • C. Vargas-De-León and G. Gómez-Alcaraz. Global stability conditions of delayed SIRS epidemiological model for vector diseases. Foro-Red-Mat: Revista Electrónica de Contenido Matemático 28 (2011).
  • C. Vargas-De-León. Constructions of Lyapunov Functions for Classic SIS, SIR and SIRS Epidemic models with Variable Population Size. Foro-Red-Mat: Revista Electrónica de Contenido Matemático 26 (2009).
  • Lourdes Esteva, Abba B. Gumel and C. Vargas-De-León: Qualitative study of transmission dynamics of drug-resistant malaria. Mathematical and Computer Modelling 50 (3-4): 611-630 (2009).
  • C. Vargas-De-León and J.A. Castro Hernández. Local and Global Stability of Host-Vector Disease Models. Foro-Red-Mat: Revista Electrónica de Contenido Matemático 25 (2008).

Capítulos en libros

  • Martín Uriel Vázquez Medina, Eira Cerda Reyes, Cruz Vargas-De-León, Patty Marlen Ramírez Portillo. Capítulo 67: Conceptos Básicos de Estadística Médica de la Guía de bolsillo en Gastroenterología 2023, 422-428. Editor Raúl Contreras Omaña.
  • Edilberta Tino-Salgado, Flaviano Godínez-Jaimes, Cruz Vargas-De-León, Norma Samanta Romero-Castro, Salvador Reyes-Fernández, Victor Othon Serna-Radilla, Chapter 5: Bayesian Multilevel Modeling in Dental Research of «Recent Advances in Medical Statistics», IntechOpen, 113-137
  • M. Moya-Curbelo, R. Reyes-Carreto, C. Vargas-De-León, F. Godinez-Jaimes, Estimación bayesiana de los parámetros del modelo minimal de la glucosa, Capítulo de Libro en Probabilidad y Análisis Estadístico. 2020.