M.C. CRUZ VARGAS DE LEÓN

Productividad Académica

Artículos

  • Vargas-De-León, J.C. Sierra-Rojas, C. Martínez-Lázaro, M.A. Rodríguez-Parra, Sobre la Modelación Matemática y el Análisis de las Infecciones Virales, Abstraction & Application 39 47-83, 2023.
  • A. 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.
  • F. Morales-Delgado, M. A. Taneco-Hernández, C. Vargas-De-León, J.F. Gómez-Aguilar. Exact solutions to fractional pharmacokinetic models using multivariate Mittag-Leffler functions. Chaos, Solitons & Fractals, 168, 113164, 2023.
  • Li-Martín, R. Reyes-Carreto, C. Vargas-De-León. Dynamics of a dengue disease transmission model with two-stage structure in the human population. Mathematical Biosciences and Engineering, 20(1), 955-974, 2023.
  • C. Sierra-Rojas, R. Reyes-Carreto, C. Vargas-De-León, J. F. Camacho. 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.
  • Pérez-Castro, F. Godínez-Jaimes, M. U. Vázquez-Medina, M. E. Ocharan-Hernández, C. Vargas-De-León. Derivation and validation of sex-specific continuous metabolic syndrome scores for the Mexican adult population. Scientific Reports, 12(1), 1-11, 2022.
  • Arellano-García, C. Vargas-De-León, M. Guzmán-Martínez, R. Reyes-Carreto. A Simple Mathematics Motivation Scale and Study of Validation in Mexican Adolescents. SAGE Open, 12(1), 21582440221085264, 2022.
  • Cuellar-Gomez, S. M. Rusli, M. E. Ocharan-Hernández, T. H. Lee, G. N. Piozzi, S. H. Kim, C. 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, 2022.
  • Solís-Navarro,C. Vargas-De-León, M. Guzmán-Martínez, J. Corzo-Gómez. A Bayesian Prediction Spatial Model for Confirmed Dengue Cases in the State of Chiapas, Mexico. Journal of Tropical Medicine, 2022.
  • Vargas-De-León. Global stability of nonhomogeneous coexisting equilibrium state for the multi–species Lotka–Volterra mutualism models with diffusion. Mathematical Methods in the Applied Sciences, 45(4), 2123-2131, 2022.
  • U. Vázquez-Medina, E. Cerda-Reyes, A. Carolina Barrón-Campos, J.A. Almeyda-Farfán, M.E. Ocharan-Hernández, C. Vargas-De-León, Association of ABO blood type with mortality in hospitalized patients with COVID-19, Horizonte Sanitario, 21(1), 2022.
  • F. Camacho, C. 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.
  • Castillo, Z. Hammouch, A. Atangana, C. 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.
  • Vargas-De-León. Lyapunov functionals for two-dimensional cooperative systems of delay differential equations with concave nonlinearities. Abstraction & Application30, 53-63 2020.
  • Taneco-Hernández, C. Vargas-De-León. Stability and Lyapunov functions for systems with Atangana-Baleanu Caputo derivative: An HIV/AIDS epidemic model. Chaos Solitons & Fractals132 (2020) 109586.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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.
  • 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 Research25 (3) 2019, 1233-1243.
  • 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.
  • Cabrera-Becerril, C. Vargas-De-León, S. Hernández, P. Miramontes, R. Peralta, Modeling the dyanmics of progression of chromosomal alterations in cervical cancer: A computation model, PloS One, 12(7) (2017) e0180882.
  • 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.
  • 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.
  • 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.
  • Esteva, C. Vargas, C. Vargas-De-León, The role of asymptomatics and dogs on leishmaniasis propagation, Mathematical Biosciences, 293 (2017) 46-55.
  • 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.
  • 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 Computation259 (2015) 293–312.
  • 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.
  • Osuna, C. Vargas-De-León, Construction of Dulac functions for mathematical models in population biology, International Journal of Biomathematics, 08, 1550035 (2015) 20 pages.
  • Vargas-De-León, Volterra-type Lyapunov functions for fractional-order epidemic systems, Communications in Nonlinear Science and Numerical Simulation,24 (2015) 75–85.
  • 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 Sciences38 (2015) 646-664.
  • 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).
  • 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.
  • Alavéz Ramírez, M. Vidaña Cano, J. López Estrada, C. Vargas-De-León, Un modelo matemático para el VIH/SIDA, Journal of Basic Sciences1, 1-18 (2015).
  • Vargas-De-León, Lyapunov functionals for global stability of Lotka-Volterra cooperative systems with discrete delays, Abstraction & Application12, 42-50 (2015).
  • Vargas-De-León, L. Esteva, A. Korobeinikov, Age-dependency in host-vector models: a global analysis, Applied Mathematics and Computation(2014) 969-981.
  • 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.
  • 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.
  • 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.
  • Buonomo, C. Vargas-De-León. Effects of mosquitoes host choice on optimal intervention strategies for malaria control, Acta Applicandae Mathematicae132 (2014) 127-138.
  • 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.
  • Vargas-De-León, Andrei Korobeinikov. Global stability of a population dynamics model with inhibition and negative feedback. Mathematical Medicine & Biology(2013) 30, 65–72.
  • 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.
  • Vargas-De-León,L. Esteva, Global stability analysis of virus dynamics models with linear immune response, Eureka 30, 22-35 (2013).
  • 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).
  • 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)
  • Vargas-De-León. On the global stability of infectious diseases models with relapse, Abstraction & Application9, 50-60 (2013).
  • Osvaldo Osuna, Joel Rodríguez, Cruz Vargas-De-Leónand Gabriel Villaseñor. Dulac Functions for Transformed Vector Fields, International Journal of Contemporary Mathematical Sciences, 8, 2013, no. 6, 291 - 297.
  • Vargas-De-León, Lyapunov functions for two-species cooperative systems. Applied Mathematics and Computation, 219(5), 2012, Pages 2493–2497.
  • Vargas-De-León, Stability analysis of a model for HBV infection with cure of infected cells and intracellular delay. Applied Mathematics and Computation219 (2012) 389–398.
  • 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.
  • Vargas-De-León. Analysis of a Model for the Dynamics of Hepatitis B with Noncytolytic Loss of Infected Cells. World Journal of Modelling and SimulationVol. 8 (2012) No. 4, pp. 243-259.
  • Gómez-Alcaraz and C. Vargas-De-León. Modeling control strategies for influenza A H1N1 epidemics: SIR models. Revista Mexicana de FísicaS 58 (1) 37–43, 2012.
  • 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).
  • 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.
  • 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).
  • 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.
  • 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).
  • Vargas-De-Leónand G. Gómez-Alcaraz. Global stability conditions of delayed SIRS epidemiological model for vector diseases. Foro-Red-Mat: Revista Electrónica de Contenido Matemático 28 (2011).
  • 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 Matemático26 (2009).
  • Lourdes Esteva, Abba B. Gumel and Vargas-De-León:Qualitative study of transmission dynamics of drug-resistant malaria. Mathematical and Computer Modelling 50 (3-4): 611-630 (2009).
  • Vargas-De-Leónand J.A. Castro Hernández. Local and Global Stability of Host-Vector Disease Models. Foro-Red-Mat: Revista Electrónica de Contenido Matemático 25 (2008).

Capítulos de Libros

  • Tino-Salgado, F. Godinez-Jaimes, C. Vargas-De-León, N. S. Romero-Castro, S. Reyes-Fernández, V.O. Serna-Radilla Bayesian Multilevel Modelling in Dental Research. Medical Statistics en la Editorial IntechOpen, Aceptado para su publicación, 2022.
  • 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.
  • Alavez-Ramírez, G. Gómez Alcaraz, L. M. Gallardo-Hernández, J. Estrada-López, C. Vargas-De-León. Estimación de Parámetros de un Modelo Matemático de la Influenza A(H1N1), Capítulo de Libro en First Symposium on Inverse Problems and its Applications, Ixtapa 2010.