Investigación
Proyectos
Spatial and Temporal Dynamics of Epidemiological model with age and spatial structures STEMDYNEPID, Equipo UTEM: Castro-Santis, R., Lopes, F., Huancas, F., Gonzalez, Camus, Montenegro, M., MATH-AmSud 2022.
Existencia de patrones para modelos de reacción y difusión, Vielma, F., Concurso Interno de Fomento a la I+D+i 2022.
Ecuaciones de evolución involucrando variable discreta: propiedades y aplicaciones, González, J., Concurso Interno de Fomento a la I+D+i 2022.
Calibration of a mathematical model arising in epidemiology, Coronel, A. (IR), Huancas, F. (CI), Fondecyt Regular 2023.
Stochastic models for the spread and control of epidemics and rumors, Lopes, F., Fondecyt de Iniciación en Investigación 2023.
Qualitative properties for semidiscrete fractional models and approximation to continuous counterpart, González, J., Fondecyt de Iniciación en Investigación 2023.
Topological Methods and Non Autonomous Dynamics for Delay Differential Equations - TOMENADE, Sepúlveda, D., MATH-AmSud 2020.
Identificación de coeficientes en un modelo SIR con Reacción-Difusión , Huancas, F., Concurso Interno de Fomento a la I+D+i 2020.
Estudio de características y producción de biomaterial estructural basado en residuos cerveceros , Brito, H., Concurso Interno de Fomento a la I+D+i 2019.
Uso de modelos lineales generalizados mixtos en tiempos de reacción , Tejo, M., Concurso Interno de Fomento a la I+D+i 2019.
Competition in a periodic chemostat type system with delayed Monod-Haldane growth response, Sepúlveda, D., Fondecyt de Iniciación en Investigación 2019.
Modelos migratorio denso dependiente con efecto Alle, Ossandón, G. A., Concurso Interno de Fomento a la I+D+i.
Estimación de parámetros en sistemas biológicos, Montenegro, M., Concurso Interno de Fomento a la I+D+i.
Modelación estocástica en dinámica de poblaciones, Castro Santis, R., Concurso Interno de Fomento a la I+D+i.
Publicaciones
Abadias, L., González-Camus, J., & Rueda, S. (2023, March). Time-step heat problem on the mesh: asymptotic behavior and decay rates. Forum Mathematicum.
Ossandón, G., & Sepúlveda, D. (2023). Existence and exponential stability of periodic solutions of Nicholson-type systems with nonlinear density-dependent mortality and linear harvesting. Electronic Journal of Qualitative Theory of Differential Equations, 2023 (15), 1-18.
Amster, P., Robledo, G., & Sepúlveda, D. (2023). Dynamics of a discrete size-structured chemostat with variable nuetrient supply. Discrete and Continuous Dynamical Systems-B, 28(9), 4937-4967.
Veloz, T., Heylighen, F., & Witkowski, O. (2023). Complexity and Evolution. Entropy, 25(2), 286.
Grejo, C., Lopes, F., Machado, F., Roldán-Correa, A. (2022). Evolution with mass extinction on T_d^+. Brazilian Journal of Probability and Statistics, Vol. 36, No. 4, 771-776.
Coronel, A., Huancas, F. (2022). New results for the non-oscillatory asymptotic behavior of high order differential equations of Pincaré type. AIMS Mathematics, 7(4), 6420-6444.
Coronel, A., Huancas, F., Lozada, E., & Tello, A. (2022). A Numerical Method for a Heat Conduction Model in a Double-Pane Window. Axioms, 11(8), 422.
Guinovart-Sanjuan, D., Rodríguez-Ramos, R., Vajravelu, K., Mohapatra, R., Guinovart-Díaz, R., Brito-Santana, H., Tita, V., Sabina, F.J. (2022). Prediction of effective properties for multilayered laminated composite with delamination: A multiscale methodology proposal. Composite Structures, 297, 115910.
Christoff, B. G., Brito-Santana, H., Talreja, R., & Tita, V. (2022). Multiscale embedded models to determine effective mechanical properties of composite materials: Asymptotic Homogenization Method combined to Finite Element Method. Composites Part C: Open Access, 100303.
Arenas, M. (2021). “The space of invariant bilinear forms of the polarization algebra of a polynomial endomorphism: An approach to the problem of Albert” Journal of Algebra: 573 (1), 1-15.
González-Camus, J., & Ponce, R. (2021). Explicit representation of discrete fractional resolvent families in Banach spaces. Fractional Calculus and Applied Analysis, 24(6), 1853-1878.
Christoff, B. G., Brito-Santana, H., & Tita, V. (2021). Analysis of unbalanced laminate composites with imperfect interphase: Effective properties via asymptotic homogenization method. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 14644207211060004.
Pinto, M., Poblete, F., & Sepúlveda, D. (2021). Approximation of mild solutions of delay differential equations on Banach spaces. Journal of Differential Equations, 303, 5 December, 156-182.
Coronel, A., Huancas, F., Tello, A., & Rojas-Medar, M. (2021). "New Necessary Conditions for the Well-Posedness of Steady Bioconvective Flows and Their Small Perturbations". Axioms, 10(3), 205.
Ossandón, G., & Sepúlveda, D. (2021). Existence and Stability of Periodic Solutions of Nicholson-Type System with Nonlinear Density-Dependent Mortality. Differential Equations and Dynamical Systems, 1-15. (In press)
Arenas, M., Labra, A., & Paniello, I. (2021). “Lotka-Volterra coalgebras” Linear and Multilinear Algebra: 1-15.
Coronel, A., Huancas, F., & Pinto, M. (2021). Sufficient conditions for the existence of positive periodic solutions of a generalized nonresident computer virus model. Quaestiones Mathematicae, 44(2), 259-279.
Coronel, A., Huancas, F., Lozada, E., & Rojas-Medar, M. (2021). The Dubovitskii and Milyutin Methodology Applied to an Optimal Control Problem Originating in an Ecological System. Mathematics, 9(5), 479.
Abbas, S., Dhama, S., Pinto, M. & Sepúlveda, D. (2021). Pseudo compact almost automorphic solutions for a family of delayed population model of Nicholson type. Journal of Mathematical Analysis and Applications, 495(1), 124722.
Lopes, F. & Luczak, M.(2020). Extinction time for the weaker of two competing SIS epidemics. Annals of Applied Probability, 30, no. 6, 2880-2922.
Christoff, B. G., Brito-Santana, H., Talreja, R., & Tita, V. (2020). Development of an ABAQUS™ plug-in to evaluate the fourth-order elasticity tensor of a periodic material via homogenization by the asymptotic expansion method. Finite Elements in Analysis and Design, 181, 103482.
Amster, P., Robledo, G., & Sepúlveda, D. (2020). Dynamics of a chemostat with periodic nutrient supply and delay in the growth. Nonlinearity, 33(11), 5839.
Coronel, A., Huancas, F., Hess, I., Lozada, E., & Novoa-Muñoz, F. (2020). Analysis of a SEIR-KS Mathematical Model For Computer Virus Propagation in a Periodic Environment. Mathematics, 8(5), 761.
López-Realpozo, J. C., Rodríguez-Ramos, R., Roba, A. Q., Brito-Santana, H., Guinovart-Díaz, R., Tita, V., ... & Sabina, F. J. (2020). Behavior of piezoelectric layered composites with mechanical and electrical non-uniform imperfect contacts. Meccanica, 1-14.
Amster, P., Robledo, G., & Sepúlveda, D. (2020). Existence of ω-periodic solutions for a delayed chemostat with periodic inputs. Nonlinear Analysis: Real World Applications, 55, 103134.
Marquet, P., Tejo, M. & Rebolledo, R. (2020). Book Chapter: What is the distribution of species richness? In: Unsolved Problems in Ecology, Dobson A., Tilman, D. & Holt, R. D. (Eds). Princeton University Press. ISBN: 9780691199825.
Arenas, M., & Arenas-Carmona, L. (2020). Branches on division algebras. Journal of Number Theory, 206, 24-45.
Pinto, M., Poblete, F., & Sepúlveda, D. (2019). Abstract weighted pseudo almost automorphic functions, convolution invariance and neutral integral equations with applications . Journal of Integral Equations and Applications, (31), 571-622.
Arenas, M. Hentzel, I. & Labra, A. (2019) “Commutative non power-associative algebras” In International Journal of Algebra and Computation Vol. 29 N° 8, 1527-1539.
Deijfen, M., Hirscher, T. & Lopes, F. (2019). Competing frogs on ℤ^d. Electronic Journal of Probability, 24, no. 146, 1-17.
Tejo, M., Araya, H., Niklitschek-Soto, S., & Marmolejo-Ramos, F. (2019). Theoretical models of reaction times arising from simple-choice tasks. Cognitive neurodynamics, 13(4), 409-416.
Brito-Santana, H., Thiesen, J. L. M., de Medeiros, R., Ferreira, A. J. M., Rodríguez-Ramos, R., & Tita, V. (2019). Multiscale analysis for predicting the constitutive tensor effective coefficients of layered composites with micro and macro failures. Applied Mathematical Modelling, 75, 250-266.
Ossandón, G. A., & Castro Santis, R. (2018). Population Dynamics with Density-Dependent Immigrations and Allee effect. Revista Colombiana de Matemáticas, 52(2), 211-218.
Pinto, M., Torres, R., & Sepúlveda, D. (2018). Exponential periodic attractor of impulsive Hopfield-type neural network system with piecewise constant argument. Electronic Journal of Qualitative Theory of Differential Equations, 2018(34), 1-28.