Publications
Recent preprint and submitted papers
 V. Martinet, P. Gajardo, and M. De Lara, Bargaining on monotonic economic environments. Submitted 2021 (preprint).
 P. Gajardo and V. Riquelme, Inmate population models with nonhomogeneous sentence lengths and their effects in an epidemiological model. Submitted 2021 (preprint).
 D. Vicencio, O. Vasilieva and P. Gajardo, Monotonicity properties arising in a simple model of Wolbachia invasion for wild mosquito populations. Submitted 2020 (preprint).
Publications (journal)
 P. Gajardo, V. Riquelme and D. Vicencio, Optimal control of diseases in prison populations through screening policies of new inmates. SIAM Journal on Control and Optimization 60 (2022) (2): 10.1137/20M1378582.
 P. Gajardo, C. Hermosilla and A. Picarelli, On the set of robust sustainable thresholds. Natural Resource Modeling 34 (2021) (4): e12334.
 C. CastilloLaborde, T. de Wolff, P. Gajardo, R. Lecaros, G. Olivar and H. Ramirez, Assessment of eventtriggered policies of nonpharmaceutical interventions based on epidemiological indicators. Journal of Mathematical Biology 83 (2021): 42.
 P. Gajardo and A. Seeger, Crossnonnegativity and monotonicity analysis of nonlinear dynamical systems. Journal of Differential Equations 300 (2021) (5): 3352.
 P. Gajardo and C. Hermosilla, Pareto fronts of the set of sustainable thresholds for constrained control systems. Applied Mathematics & Optimization 83 (2021): 11031121.
 C. CastilloLaborde, P. Gajardo, M.NájeraDe Ferrari, I. Matute, M. HirmasAdauy, P. Aguirre, H. Ramirez, D. Ramirez, X. Aguilera, Modelling costeffectiveness of syphilis detection strategies in prisoners: exploratory exercise in a Chilean male prison. Cost Effectiveness and Resource Allocation 19 (2021): 5.
 M. De Lara, P. Gajardo, and D. Vicencio, Comparison theorem for viability kernels via conic preorders. Systems and Control Letters 145 (2020): 104799.
 L. Doyen and P. Gajardo, Sustainability standards, multicriteria maximin and viability. Natural Resource Modeling 33 (2020) (3): e12250.
 R. Correa, P. Gajardo, and L. Thibault, Various Lipschitz like properties for functions and sets II: Subdifferential and normal characterizations. Journal of Convex Analysis 27 (2020) (1): 239278.
 P. Gajardo and C. Hermosilla, The viability kernel of dynamical systems with mixed constraints: A levelset approach. Systems and Control Letters 127 (2019): 612.
 A. DonosoBravo, P. Gajardo, M. Sebbah, and D. Vicencio, Comparison of performance in an anaerobic digestion process: onereactor vs tworeactor configurations. Mathematical Biosciences and Engineering 16 (2019) (4): 24472465.
 T. Bayen and P. Gajardo, On the steady state optimization of the biogas production in a twostage anaerobic digestion model. Journal of Mathematical Biology 78 (2019) (4): 10671087.
 P. Gajardo, M. Olivares, and H. Ramirez C., Methods for the sustainable rebuilding of overexploited natural resources: A viability approach. Environmental Modeling & Assessment 23 (2018) (6): 713727.
 T. Bayen, O. Cots, and P. Gajardo, Analysis of an optimal control problem related to the anaerobic digestion process. Journal of Optimization Theory and Applications 178 (2018) (2): 918.
 E. Barrios, P. Gajardo, and O. Vasilieva, Sustainable thresholds for cooperative epidemiological models. Mathematical Biosciences 302 (2018) (2): 627659.
 P. Gajardo, C. Morales, and J. Peypouquet, Monotonicity beyond Minty and Kato on locally convex spaces. Journal of Mathematical Analysis and Applications 435 (2016): 17011709.
 J. Rodriguez, H. Ramírez C., P. Gajardo, and A. Rapaport, Optimality of affine control system of several species in competition on a sequential batch reactor. International Journal of Control, 87 (2014) (9):18771885.
 P. Gajardo, H. Ramírez C., and J. Rodriguez, Tools for improving feeding strategies in a SBR with several species. Bioprocess and Biosystems Engineering 37 (2014) (8): 6370.
 P. Gajardo and A. Seeger, Equilibrium problems involving the Lorentz cone. Journal of Global Optimization 58 (2014): 321340.
 R. Correa, P. Gajardo, L. Thibault, and D. Zagrodny, Existence of minimizers on drops. SIAM Journal on Optimization 23 (2013) (2): 11541166.
 T. Bayen, P. Gajardo and F. Mairet, Optimal synthesis for the minimum time control problems of fedbatch bioprocesses for growth functions with two maxima. Journal of Optimization Theory and Applications 158 (2013) (2): 521553.
 P. Gajardo and A. Seeger, Solving inverse coneconstrained eigenvalue problems. Numerische Mathematik 123 (2013) (2): 309331.
 P. Gajardo and A. Seeger, Reconstructing a matrix from a partial sampling of Pareto eigenvalues. Computational Optimization and Applications 51 (2012) (3):11191135.
 P. Gajardo, J. Harmand, H. Ramírez C., and A. Rapaport, Minimaltime bioremediation of natural water resources. Automatica 47 (2011) (8): 17641769.
 P. Gajardo, J. PeñaTorres, and H. Ramírez C., Harvesting economic models and catchtobiomass dependence: The case of small pelagic fish. Natural Resource Modeling 24 (2011) (2): 268296.
 M. De Lara, P. Gajardo, and H. Ramírez C., Viable states for monotone harvest models. Systems and Control Letters 60 (2011) (3): 192197.
 R. Correa, P. Gajardo, and L. Thibault, Various Lipschitz like properties for functions and sets I: Directional derivative and tangential characterizations. SIAM Journal on Optimization 20 (2010) (4): 17661785.
 P. Gajardo, F. Mazenc, and H. Ramírez C., Competitive
exclusion principle in a model of chemostat with delays. Dynamics of Continuous, Discrete and Impulsive Systems Ser. A 16 (2009) (4a): 253272.
 R. Correa, P. Gajardo, and L. Thibault, Links between
directional derivatives through multidirectional mean value
inequalities. Mathematical Programming Ser. B 116 (2009) (12): 5577.
 P. Gajardo, H. Ramírez C., and A. Rapaport, Minimal time sequential batch reactors with bounded and impulse controls for one or more species. SIAM Journal on Control and Optimization 47 (2008) (6): 28272856.
 R. Correa, P. Gajardo, and L. Thibault, Subdifferential
representation formula and subdifferential criteria for the
behavior of nonsmooth functions. Nonlinear Analysis 65 (2006)
(4): 864891.
 P. Gajardo and A. Seeger, Higherorder spectral analysis
and weak asymptotic stability of convex processes. Journal of Mathematical Analysis and Applications 318 (2006) (1): 155174.
 F. Alvarez, R. Correa, and P. Gajardo, Inner estimation of
the eigenvalue set and exponential series solutions to
differential inclusions. Journal of Convex Analysis 12 (2005) (1) :
111.
 R. Correa and P. Gajardo, Eigenvalues of Setvalued
operators in Banach spaces. SetValued Analysis 13 (2005) (1) :
119.
 P. Gajardo and A. Seeger, Epsiloneigenvalues of
multivalued operators. SetValued Analysis 11 (2003) (3) :
273296.
