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Fernando Daniel Córdova Lepe

Associate Professor

UNIVERSIDAD CATOLICA DEL MAULE

Talca, Chile

Impulsive Differential Equations; Mathematical Biology; Mathematical Bioeconomics

Mathematics, UNIVERSIDAD DE CHILE. Chile, 2004
Mathematics, UNIVERSIDAD DE CHILE. Chile, 1998
Mathematics, UNIVERSIDAD DE CHILE. Chile, 1987

Full Professor Part Time

UNIVERSIDAD METROPOLITANA DE CIENCIAS DE LA EDUCACION

FACULTAD DE CIENCIAS

SANTIAGO, Chile

2004 - A la fecha
Associate Professor Full Time

UNIVERSIDAD TECNOLOGICA METROPOLITANA

FACULTAD DE CIENCIAS

SANTIAGO, Chile

1999 - 2003
ACADEMICO Full Time

UNIVERSIDAD CATOLICA DEL MAULE

CIENCIAS BASICAS

TALCA, Chile

2005 - A la fecha

Director del Doctorado en Modelamiento Matemático Aplicado Full Time

UNIVERSIDAD CATÓLICA DEL MAULE

Talca, Chile

2016 - A la fecha

(1) From 2016. Director of posgraduated program Doctorate in Applied Mathematical Modeling of the Universidad Católica del Maule, Chile.

(2) Mathematical Advisor of Ph.D. Juan Pablo Gutiérrez Jara (2020) Dissertation: Pesticide analysis as a source of exposure for the development of infectious-contagious respiratory diseases. Mathematical models. Thesis for the degree of Doctor in Applied Mathematical Modeling, Universidad Católica del Maule, Chile.

(3) Mathematical Advisor of Mg. Pablo Dotte Labbé (2018) Dissertation: Competencias específicas del Cálculo Diferencial en Varias Variables, en estudiantes de pedagogía en matemática y computación: propuesta de enseñanza por analogías formales entre derivada y gradiente. Thesis for the Master degree in Didactic of Mathematics, Universidad Católica del Maule, Chile.

(4) Advisor of PhD Aníbal Aubone (2015). Dissertation: Study on the border of the stability of fish populations structured by age and exploited. Thesis for the degree of Doctor of Science and Technology, National University of General Sarmiento, Argentina.

(1) President of the Latin American Society of Mathematical Biology (from 2017) and organizer of its XI Congress (www.dm2a.org), Jan - 2021.

(2) Speaker at 1st, 2nd, 3rd, and 4th Modeling Workshop applied to COVID-19 in Chile, Predictive Models Line - Interdisciplinary Work Table - COVID-19 Social Table. 2020-2021.

(3) Asignación de energía hacia reproducción-mantención en la relación consumidor-recurso & Contaminación por ruido antropogénico y persistencia poblacional. Seminario GISDA, Depto. de Matemática Universidad del Bío-Bío, Oct - 2021.

(4) Análisis de datos COVID-19 en Chile en el último trimestre. Patrones, hitos y proyecciones. 4º Congreso Internacional Multidisciplinario de Matemática. UNMSM, Perú, Nov. - 2021.

(5) PLENARIA: A COVID-19 math-model for a large-scale treatment by antibodies (covalescent plasma). XV Seminario Internacional de Biomatemática. DADD, PeC3, SPMAC & CMAT-VIDA. Perú, Sep-2021.


A description of the epidemiological dynamics of Chagas disease via mathematical modeling Lozada-Yavina, Rafael; Marchant, Carolina; Cancino-Faure, Beatriz; Hernandez-Rodriguez, Erix W.; Cordova-Lepe, Fernando Article ISI ACTA TROPICA (2023)
Plastic energy allocation toward life-history functions in a consumer-resource interaction Analyzing the temporal patterns of the consumer-resource dynamics Gutierrez, R.; Cordova-Lepe, F.; Moreno-Gomez, F. N.; Velasquez, N. A. Article ISI JOURNAL OF MATHEMATICAL BIOLOGY (2022)
An SIR-type epidemiological model that integrates social distancing as a dynamic law based on point prevalence and socio-behavioral factors Cabrera, Maritza; Cordova-Lepe, Fernando; Pablo Gutierrez-Jara, Juan; Vogt-Geisse, Katia Article ISI SCIENTIFIC REPORTS (2021)
GLOBAL EXPONENTIAL PERIODICITY AND STABILITY OF NEURAL NETWORK MODELS WITH GENERALIZED PIECEWISE CONSTANT DELAY Chiu, Kuo-Shou; Cordova-Lepe, Fernando Article ISI MATHEMATICA SLOVACA (2021)
A new approach to the concept of linearity. Some elements for a multiplicative linear algebra C?rdova-Lepe, F; Del Valle, R; Vilches, K Article ISI INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2020)
Analysis of two discrete forms of the classic continuous SIR epidemiological model Córdova-Lepe, Fernando; Gutiérrez, Rodrigo; Vilches-Ponce, Karina Article ISI SCOPUS JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS (2020)
Distribution model of toxic agents and runoff phenomenon in flat aquatic regions Vergaño-Salazar, J G; Meyer, J F C A; Córdova-Lepe, F; Duque Marín, E Article SCOPUS Journal of Physics: Conference Series (2020)
Impulsive simulation model for the analysis of allergy dynamics Vergaño-Salazar, J G; Pastenes, L; Córdova-Lepe, F; Mardones-Precht, P Article Journal of Physics: Conference Series (2020)
Model for a threshold of daily rate reduction of COVID-19 cases to avoid hospital collapse in Chile Gutierrez-Aguilar, Rodrigo; Cordova-Lepe, Fernando; Teresa Munoz-Quezada, Maria; Pablo Gutierrez-Jara, Juan Article ISI MEDWAVE (2020)
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 [Número de casos COVID-19 en Chile a 120 días con datos al 21/03/2020 y umbral del esfuerzo diario para aplanar la epi-curva] CÃ³rdova-Lepe F.; GutiÃ©rrez-Aguilar R.; GutiÃ©rrez-Jara J.P. Article SCOPUS Medwave (2020)
Persistence and size of seasonal populations on a consumer-resource relationship depends on the allocation strategy toward life-history functions Gutierrez, Rodrigo; Cordova-Lepe, Fernando; Moreno-Gomez, Felipe N.; Velasquez, Nelson A. Article ISI SCIENTIFIC REPORTS (2020)
Pesticide application, educational treatment and infectious respiratory diseases: A mechanistic model with two impulsive controls Pablo Gutierrez-Jara, Juan; Cordova-Lepe, Fernando; Teresa Munoz-Quezada, Maria; Chowell, Gerardo Article ISI PLOS ONE (2020)
Spatial distribution of dengue in Ecuador during 1994-2018 using geographic information systems (GIS) - Implications public health and travel medicine Cabrera, M.; Cordova-Lepe, F.; Valero-Cedeno, N.; Reyes-Baque, J.; Veliz, T.; Rodriguez, L.; Rodriguez-Morales, A. J. Article ISI INTERNATIONAL JOURNAL OF INFECTIOUS DISEASES (2020)
Susceptibility to organophosphates pesticides and the development of infectious-contagious respiratory diseases GutiÃ©rrez-Jara J.P.; CÃ³rdova-Lepe F.D.; MuÃ±oz-Quezada M.T.; Chowell G. Article ISI SCOPUS (2020)
Competition among Predators and Allee Effect on Prey, Their Influence on a Gause-Type Predation Model GonzÃ¡lez-Olivares E.; Cabrera-Villegas J.; CÃ³rdova-Lepe F.; Rojas-Palma A. Article ISI SCOPUS MATHEMATICAL PROBLEMS IN ENGINEERING (2019)
Dynamics between infectious diseases with two susceptibility conditions: A mathematical model Gutierrez-Jara, JP; Cordova-Lepe, FD; Munoz-Quezada, MT Article ISI SCOPUS MATHEMATICAL BIOSCIENCES (2019)
Mathematical approach to the prevention-immigration causality of outbreaks of sexually transmitted diseases in Chile using HIV as a model Cordova, Fernando D.; Cabrera, Maritza G.; Gutierrez, Juan P.; Gutierrez, Rodrigo I. Article ISI MEDWAVE (2019)
Population dynamics in the face of climate change: Analysis of a cubic thermal performance curve in ectotherms Saldaña-Núñez, V; Córdova-Lepe, F; Moreno-Gómez, F N Article SCOPUS Journal of Physics: Conference Series (2019)
A new approach to the concept of linearity. Some elements for a multiplicative linear algebra. Fernando Córdova-Lepe, Rodrigo Del Valle Article International Journal of Computer Mathematics (2018)
Modeling the epidemiological impact of a preventive behavioral group. Córdova-Lepe, Fernando; Cabrera Hernández, Maritza; Gutiérrez-Jara, Juan Pablo Article Medwave (2018)
The process of connectivity loss during habitat fragmentation and their consequences on population dynamics Cordova-Lepe, F; Del Valle, R; Ramos-Jiliberto, R Article ISI SCOPUS ECOLOGICAL MODELLING (2018)
An impulsive fishery model with environmental stochasticity. Feasibility Castro-Santis, Ricardo; Crdova-Lepe, Fernando; Chambio, Walter Article ISI SCOPUS MATHEMATICAL BIOSCIENCES (2016)
PULSE HOSPITALIZATION TO CONTROL SIS DISEASES ON FARMS: ECONOMICS EFFECTS Córdova-Lepe, Fernando; Robledo, Gonzalo; Solis, M. Eugenia Article ISI SCOPUS Journal of Biological Systems (2016)
POPULATION GROWTH MODELING WITH BOOM AND BUST PATTERNS: THE IMPULSIVE DIFFERENTIAL EQUATION FORMALISM Cordova-Lepe, F; Robledo G.; Cabrera-Villegas, J Article ISI SCOPUS Journal of Biological Systems (2015)
Stability analysis of a self-cycling fermentation model with state-dependent impulse times Cordova-Lepe, Fernando; Del Valle, Rodrigo; Robledo, Gonzalo Article ISI SCOPUS MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2014)
A new class of differential equations with impulses at instants dependent on preceding pulses. Applications to management of renewable resources Cordova-Lepe, F; Pinto, M; Gonzalez-Olivares, E Article ISI SCOPUS Nonlinear Analysis: Real World Applications (2012)
A non-Newtonian gradient for contour detection in images with multiplicative noise Mora M.; Cordova-Lepe, F; Del Valle, R Article ISI SCOPUS Pattern Recognition Letters (2012)
A pulse fishery model with closures as function of the catch: Conditions for sustainability Cordova-Lepe, F; Valle R.D.; Robledo G. Article ISI SCOPUS Mathematical Biosciences (2012)
Modeling pulse infectious events irrupting into a controlled context: A SIS disease with almost periodic parameters Cordova-Lepe, F; Robledo G.; Pinto, M; Gonzalez-Olivares, E Article ISI SCOPUS APPLIED MATHEMATICAL MODELLING (2012)
A PULSE VACCINATION STRATEGY AT VARIABLE TIMES DEPENDING ON INCIDENCE Cordova-Lepe, F; Del Valle, R; Robledo G. Article ISI SCOPUS Journal of Biological Systems (2011)
Source-sink impulsive bioeconomic models: Seasonal closures with fixed length Cordova-Lepe, F; Gonzalez-Olivares, E; Pinto, M Article ISI SCOPUS Journal of Difference Equations and Applications (2011)


Modelling the effects of a differentiated mortality by phenotypic traits on the genotypic distribution Rojas-Castro, Héctor; Córdova-Lepe, Fernando; Vigo-Aguiar, Jesús ConferencePaper (2016)
A mathematical model of a single population with habitat fragmentation in progress Del-Valle, Rodrigo; Córdova-Lepe, Fernando; Vigo-Aguiar, Jesús ConferencePaper (2014)
Impulsive Hospitalization: Epidemiological Control on Farms Córdova-Lepe, Fernando; Del-Valle, Rodrigo; Solís, M. Eugenia; Hamilton, I. P. ; Vigo-Aguiar, J. ConferencePaper (2013)
SENSITIVITY MATRIX OF AN ECOLOGICAL NETWORK WITH PERIODIC DYNAMICS Cordova-Lepe, F; Garay-Narvaez, L; Ramos-Jiliberto, R; Robledo G. ConferencePaper ISI BIOMAT 2011: INTERNATIONAL SYMPOSIUM ON MATHEMATICAL AND COMPUTATIONAL BIOLOGY (2012)
STABILITY OF DISEASE FREE STATE IN SIS MODELS. ALMOST PERIODIC RATES AND PULSE VACCINATION Robledo G.; Pinto, M; Cordova-Lepe, F ConferencePaper ISI BIOMAT 2011: INTERNATIONAL SYMPOSIUM ON MATHEMATICAL AND COMPUTATIONAL BIOLOGY (2012)
A TWO-PATCHES POPULATION AFFECTED BY A SIS TYPE DISEASE. INFECTION IN THE SOURCE. CONSEQUENCES IN THE SINK Cordova-Lepe, F; Del Valle, R; Huincahue-Arcos, J ConferencePaper ISI BIOMAT 2010: INTERNATIONAL SYMPOSIUM ON MATHEMATICAL AND COMPUTATIONAL BIOLOGY (2011)
Morphological color images processing using distance-based and lexicographic order operators Gonzalez P.; Cabezas, V; Mora M.; Cordova, F; Vidal, J ConferencePaper Proceedings - International Conference of the Chilean Computer Science Society, SCCC (2011)
SIS EPIDEMIC MODEL WITH PULSE VACCINATION STRATEGY AT VARIABLE TIMES Cordova-Lepe, F; Del Valle, R; Robledo G. ConferencePaper ISI BIOMAT 2009 (2010)
PULSE INFECTION. CONTROL FIXING TIME BETWEEN INFECTION EVENTS Cordova-Lepe, F; Gonzalez-Olivares, E ConferencePaper ISI BIOMAT 2008 (2009)
ADVANCES IN A THEORY OF IMPULSIVE DIFFERENTIAL EQUATIONS AT IMPULSE-DEPENDENT TIMES, WITH APPLICATIONS TO BIO-ECONOMICS Cordova-Lepe, F ConferencePaper ISI BIOMAT 2006 (2007)


Chikungunya in Ecuador, 2014-2017: Maps and more Cabrera M.; CÃ³rdova-Lepe F.; Valero-CedeÃ±o N.; Reyes-Baque J.; RodrÃguez-Morales A.J. Letter ISI SCOPUS TRAVEL MEDICINE AND INFECTIOUS DISEASE (2019)


Fortalecimiento de las líneas de Ecuaciones Diferenciales y Biomatemática del Departamento de Matemática, Física y Estadística. PAI (79150021) Proyecto 2016-2018 Inv. Patrocinante
Multistability and periodicity on predator-prey models due to ecological phenomena affecting some of the populations FONDECYT (11201218) Proyecto 2012-2014 Coinvestigador(a)
Modelos Epidemiológicos. Infección Impulsiva con Frecuencia que afecta la Tasa de Recuperación Universidad Metropolitana de Ciencias de la Educación (FIBAS) Proyecto 2009-2010 Inv. Responsable
Modelos Epidemiológicos. Infección Impulsiva con Frecuencia que afecta la Tasa de Recuperación Universidad Metropolitana de Ciencias de la Educación (FIBAS) Proyecto 2009-2010 Inv. Responsable
Applied Theory of Delay Differential Equations FONDECYT (8990013) Proyecto 1999-2003 Coinvestigador(a)


Modeling the epidemiological impact of a preventive behavioral group [Modelización del impacto epidemiológico de la existencia de un grupo conductual preventivo] CÃ³rdova-Lepe F.; Cabrera HernÃ¡ndez M.; GutiÃ©rrez-Jara J.P. Review SCOPUS Medwave (2018)