Juancho Arranz Collera

Professor

Department of Mathematics and Computer Science
College of Science
University of the Philippines Baguio

Email: jacollera(at)up(dot)edu(dot)ph
Office: +63(74)442-7231

Research Interest:
Delay Differential Equations, Dynamical Systems, Bifurcation Theory

Education

PhD Mathematics
Queen's University, Kingston, Ontario, Canada

Dissertation: Bifurcations of Periodic Solutions of Functional Differential Equations with Spatio-Temporal Symmetries
Supervisors: Pietro-Luciano Buono (UOIT) and Daniel Offin (Queen's U)
2012
MS Mathematics
University of the Philippines Baguio

Thesis: Admissible Perturbations of Differential Expressions with Exponentially and Logarithmically Decaying Coefficients Preserving the Nullities
Supervisor: Marian P. Roque (UP Diliman)
2004
BS Mathematics, cum laude
University of the Philippines Baguio

Awards and Distinction Received:
Tenefrancia Academic Achievement Award in the Natural Sciences and Mathematics
Department of Science and Technology (DOST) Undergraduate Scholarship
2000

Work Experience

Professor
University of the Philippines Baguio
Jan 2019 - Present
Associate Professor
University of the Philippines Baguio
Jan 2014 - Dec 2018
Assistant Professor
University of the Philippines Baguio
Jun 2012 - Dec 2013
Senior Lecturer
University of the Philippines Baguio
Apr 2012 - May 2012
Teaching Fellow
Queen's University, Kingston, Ontario, Canada
Jan 2010 - Apr 2010
Teaching and Research Assistant
Queen's University, Kingston, Ontario, Canada
Sep 2007 - Aug 2011
Assistant Professor
University of the Philippines Baguio
Jun 2006 - May 2007
Instructor
University of the Philippines Baguio
Jun 2001 - May 2006

Other Designations/Committees

University Scientist I, UP System
C.Y. 2017-2022
Visiting Researcher, Universiti Teknologi Malaysia, Johor, Malaysia
Jun 16-21, 2019
Visiting Researcher, University of Manitoba, Winnipeg, MB Canada
Sep-Dec 2016

Member, UP System Committee on Open Data
First Semester, A.Y. 2023-2024
Member-at-large, UPB Curriculum Committee
A.Y. 2023-2026
Member, UPB University Library Board
Jan 2023-Jan 2024
Member, CS Lecture Series Committee
A.Y. 2022-2024

Coordinator, DMCS Graduate Programs
A.Y. 2021-2022
Member-at-large, UPB Curriculum Committee
A.Y. 2020-2023
Member, UPB Committee for the Transition to Remote Learning (CTTRL)
C.Y. 2021

Coordinator, DMCS Graduate Programs
Jan - Jul 2021
Member, UPB Committee for the Transition to Remote Learning (CTTRL)
May - Dec 2020
Chair, CS Lecture Series Committee
A.Y. 2020-2021
Member, CS Research Committee
A.Y. 2020-2021
Member, Adhoc Committee on Feasibility of PhD by Research
A.Y. 2020-2021

Member, DMCS DAPC
A.Y. 2019-2020
Chair, CS Research Committee
A.Y. 2019-2020
Member, CS Lecture Series Committee
A.Y. 2019-2020

Research Projects

Project Leader
Title: Queues with choice: a symmetry perspective
Funding agency: UP System OVCAA - ECWRG
Sep 2018 - Feb 2020
Visiting Researcher
Title: Dynamics of a stage-structured intraguild predation model
Funding agency: IMU-CDC Abel Visiting Scholars Program
Host: Prof. F.M.G. Magpantay at the Department of Mathematics, University of Manitoba in Winnipeg, MB, Canada
Sep 2016 - Dec 2016
Project Leader
Title: Bifurcations in laser networks with Sn-symmetry
Funding agency: UP System OVCAA - EIDR
May 2014 - Apr 2016
Awardee
Title: One UP Professorial Chair Award in Mathematics (Dynamical Systems) for Outstanding Research and Public Service in UP Baguio
Funding agency: UP System OVCAA
C.Y. 2016-2024

Publications

Articles
  1. Hafdane, M., Collera, J.A., Agmour, I., Foutayeni, Y.E. (2023) Hopf bifurcation for delayed prey-predator system with Allee effect. Commun. Math. Biol. Neurosci. 2023, Article ID 36.
  2. Llenos, L.C.P., Miranda, I.L.G., Domogo, A.A., Collera, J.A. (2023) Mathematical modeling of antibiotic resistance in hospital with dysbiosis. Chiang Mai Journal of Science 50(3), Article ID e2023027.
  3. Domogo, A.A., Collera, J.A. (2022) Classifying relative equilibria and relative periodic solutions in two mutually delay-coupled Stuart-Landau oscillators. Matimyas Matematika 45(2), 49-64.
  4. Collera, J.A. (2022) Bubbling, bistable limit cycles and quasi-periodic oscillations in queues with delayed information. Symmetry 14(2), 376.
  5. Rabago, J.F.T., Collera, J.A. (2018) Hopf bifurcation in a delayed intraguild predation model. Southeast Asian Bull. Math. 42(5), 691-709.
  6. Buono, P-L., Collera, J.A. (2018) Discrete rotating waves in neutral functional differential equations: symmetric centre manifolds and bifurcations. Jour. Abstr. Differ. Equ. Appl. 9(1), 1-29.
  7. Buono, P-L., Collera, J.A. (2015) Symmetry-breaking bifurcations in rings of delay-coupled semiconductor lasers. SIAM J. Appl. Dyn. Syst. 14(4), 1868-1898.
  8. Collera, J.A. (2015) Symmetry-breaking bifurcations in two mutually delay-coupled lasers. Phil. Sci. Tech. 1(1), 17-21.
  9. Collera, J.A. (2014) Bifurcations in delayed Lotka-Volterra intraguild predation model. Matimyas Matematika 37(1-2), 11-22.
  10. Collera, J.A. (2014) Stability switch and periodic solutions in delayed three-species model with Holling type III functional response. Philipp. Sci. Lett. 7(1), 67-72.
  11. Collera, J.A. (2013) 'Stability and bifurcations in delayed three-species model. Adv. Stud. Biol. 5(11), 455-464.
  12. Collera, J.A. and Roque, M.P. (2013) Admissible perturbations of differential expressions with exponentially decaying coefficients preserving the nullities. Int. J. Math. Anal. 7(57), 2803-2810.
  13. Roque M.P., Gutierrez, M.M., Collera, J.A. (2003) Admissible perturbation of differential expressions with logarithmically decaying coefficients. Matimyas Matematika 26, 100-108.
Book Chapters
  1. Collera, J.A. and de la Cruz, R.R.B. (2022) Dynamics of a delayed Kaldor-Kalecki model of mutually linked economies. In: Ehrhardt, M., Günther, M. (eds) Progress in Industrial Mathematics at ECMI 2021. Mathematics in Industry, Vol. 39. Springer, Cham, pp. 83-89.
  2. Collera, J.A. (2021) Spontaneous Symmetry-Breaking in Deterministic Queueing Models with Delayed Information. In: D.M. Kilgour et al. (eds) Recent Developments in Mathematical, Statistical and Computational Sciences. Springer, Cham, pp. 15-25.
  3. Collera, J.A. (2019) Queues with Choice from a Symmetry Perspective. In: I. Farago et al. (eds) Progress in Industrial Mathematics at ECMI 2018. Springer, Cham, pp. 537-542.
  4. Collera, J.A. (2019) Numerical Continuation and Bifurcation Analysis in a Harvested Predator- Prey Model with Time Delay using DDE-Biftool. In: M. Mohd et al. (eds) Dynamical Systems, Bifurcation Analysis and Applications. Springer, Singapore, pp. 225-241.
  5. Collera, J.A., Magpantay, F.M.G. (2018) Dynamics of a Stage Structured Intraguild Predation Model. In: D.M. Kilgour et al. (eds) Recent Advances in Mathematical and Statistical Methods for Scientific and Engineering Applications. Springer, Cham, pp. 327-337.
  6. Collera J.A. (2017) Classification of Codimension-One Bifurcations in a Symmetric Laser System. In: P. Quintela et al. (eds) Progress in Industrial Mathematics at ECMI 2016. Springer, Cham, pp. 569-576.
  7. Collera, J.A. (2016) Symmetry-Breaking Bifurcations in Laser Systems with All-to-All Coupling. In J. Belair et al. (eds) Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Springer, Cham, pp. 81-88.
  8. Collera, J.A. (2015) Stability and Bifurcations in Delayed Three-Species Model with Generalized Holling-Type Functional Response. In H-J. Kuo et al. (eds) Proceedings of 10th Taiwan- Philippines Symposium on Analysis. Airiti Press Inc., Taipei, pp. 179-183.
Conference Proceedings
  1. Collera, J.A. (2021) Dynamics of an IS-LM macroeconomic model with delay-dependent coefficients. AIP Conf. Proc. 2423, 020028.
  2. Pasion, A.M., Collera, J.A. (2019) Delay-induced stability switches in an SIRS epidemic model with saturated incidence rate and temporary immunity, J. Phys. Conf. Ser. 1298, 012006.
  3. Pasion, A.M., Collera, J.A. (2019) Stability and Hopf bifurcation analysis of an SIS epidemic model with latency and nonlinear incidence rate. AIP Conf. Proc. 2184, 060013.
  4. Domogo, A.A., Collera, J.A. (2018) Symmetric solutions to a system of mutually delay-coupled oscillators with conjugate coupling. J. Phys. Conf. Ser. 1123, 012028.
  5. Collera, J.A., Balilo, A.T. (2018) Dynamics of a delayed intraguild predation model with harvesting. AIP Conf. Proc. 1937, 020006.
  6. Balilo, A.T., Collera, J.A. (2018) Stability and bifurcation analysis of three-species predator prey model with non-monotonic delayed predator response. AIP Conf. Proc. 1937, 020003.
  7. Lapaan, R.D., Collera, J.A., Addawe, J.M. (2016) Mathematical analysis of tuberculosis transmission model with delay. AIP Conf. Proc. 1787, 080022.
  8. Domogo, A.A., Collera, J.A. (2016) Classification of codimension-one bifurcations in a tetrad of lasers with feed forward coupling. AIP Conf. Proc. 1787, 080002.
  9. Collera, J.A. (2016) Harvesting in Delayed Food Web Model with Omnivory. AIP Conf. Proc. 1705, 020033.

Research Presentations in Conferences

International
Title: Coupled Delayed Action Oscillator Model of the ENSO
Conference: 22nd ECMI Conference on Industrial and Applied Mathematics
Venue: Wroclaw, Poland, 26-30 June 2023
Apr 13-15, 2021
Title: Dynamics of a Plant Virus Propagation Model with Vector Preference and Latent Periods
Conference: The VI AMMCS International Conference
Venue: Waterloo, Ontario, Canada, 14-18 August 2023
Apr 13-15, 2021
Title: Dynamics of a Delayed Kaldor-Kalecki Model of Mutually Linked Economies
Conference: 21st ECMI Conference on Industrial and Applied Mathematics
Venue: Wuppertal, Germany, (also held online)
Apr 13-15, 2021
Title: Revisiting the Kaldor-Kalecki Model of Business Cycle with Time Lag
Conference: International Conference on Dynamical Systems
Venue: Shanghai, China (also held online)
Mar 12-13, 2021
Title: Dynamics of an IS-LM Macroeconomic Model with Delay-Dependent Coefficients
Conference: The International Conference on Mathematical Sciences and Technology 2020
Venue: (held online)
Dec 08-10, 2020
Title: Spontaneous Symmetry-Breaking in Deterministic Queueing Models with Delayed Information
Conference: The 5th AMMCS International Conference
Venue: Waterloo, ON, Canada
Aug 18-23, 2019
Title: Hopf Bifurcation in a Three-Species Intraguild Predation Model with Stage Structure
Conference: Annual Meeting of the Society for Mathematical Biology
Venue: Montreal, QC, Canada
Jul 22-26, 2019
Title: Dynamics of a Stage Structured Intraguild Predation Model
Conference: 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications
Venue: Taipei, Taiwan
Jul 05-09, 2018
Title: Queues with Choice from a Symmetry Perspective
Conference: The 20th European Conference on Mathematics for Industry
Venue: Budapest, Hungary
Jun 18-22, 2018
Title: Dynamics of a Stage-Structured Intraguild Predation Model
Conference: The 4th AMMCS International Conference
Venue: Waterloo, ON, Canada
Aug 20-25, 2017
Title: Symmetric Solutions in Delay-Coupled Laser Networks with All-to-All Coupling
Conference: 7th Asian Mathematical Conference
Venue: Bali, Indonesia
Jul 25-29, 2016
Title: Stabilizing Role of Harvesting on a Chaotic Intraguild Predation Model
Conference: International Conference on Mathematical Methods and Models in Biosciences
Venue: Blagoevgrad, Bulgaria
Jun 19-25, 2016
Title: Symmetric Solutions in Delay-Coupled Laser Networks with All-to-All Coupling
Conference: The 19th European Conference on Mathematics for Industry
Venue: Santiago de Compostela, Spain
Jun 13-17, 2016
Title: Harvesting in Delayed Food Web Model with Omnivory
Conference: International Conference on Progress in Applied Mathematics in Sciences and Engineering
Venue: Bali, Indonesia
Sep 29 - Oct. 01, 2015
Title: Symmetry-Breaking Bifurcations in Laser Systems with All-to-All Coupling
Conference: The 2015 AMMCS-CAIMS Congress
Venue: Waterloo, ON, Canada
Jun 07-12, 2015
Title: Stability Switch and Periodic Solutions in Delayed Three-Species Model
Conference: International Congress of Mathematicians
Venue: Seoul, South Korea
Aug 13-21, 2014
Title: Stability and Bifurcations in Delayed Three-Species Model
Conference: Annual Meeting of the Society for Mathematical Biology
Venue: Osaka, Japan
Jul 28 - Aug. 01, 2014
Title: Stability and Bifurcations in Delayed Three-Species Model with Generalized Michaelis-Menten Functional Response
Conference: 10th Taiwan-Philippines Symposium in Analysis
Venue: Kaohsiung, Taiwan
Mar 30 - Apr 03, 2014
Title: Symmetry-Breaking Bifurcations in Two Mutually Delay-Coupled Lasers
Conference: 6th Asian Mathematical Conference
Venue: Busan, South Korea
Jun 30 - Jul 04, 2013
Title: Symmetry-Breaking Bifurcations in Rings of Delay-Coupled Lasers
Conference: Dynamical Systems: 100 Years After Poincare
Venue: Gijon, Spain
Sep 03-07, 2012
Title: Stability and Bifurcations of CLMs in Symmetric Rings of Coupled Lang-Kobayashi Equations
Conference: 7th International Congress on Industrial and Applied Mathematics
Venue: Vancouver, BC, Canada
Jul 18-22, 2011
Title: Bifurcations of Periodic Solutions of FDE with Spatio-Temporal Symmetries
Conference: 2010 Canadian Applied and Industrial Mathematics Society Annual Meeting
Venue: St. John's, NL, Canada
Jul 17-20, 2010
Title: Perturbation of Differential Expressions with Exponentially Decaying Coefficients Preserving the Nullities
Conference: 7th International Pure Mathematics Conference
Venue: Islamabad, Pakistan
Aug 05-07, 2006
Title: Admissible Perturbation of Differential Expressions with Logarithmically Decaying Coefficients Preserving the Nullities
Conference: 4th Asian Mathematical Conference
Venue: Singapore

Jul 20-23, 2005
National
Title: Oscillatory Patterns in a Delayed Kaldor-Kalecki Model of Mutually Linked Economies
Conference: NRCP - Division of Mathematical Sciences Scientific Webinar
Venue: (held virtually hosted by NRCP DMS)
22 October 2022
Title: Group-Theoretic Approach to Time-Delay Systems
Conference: MSU-IIT Algebra Lecture Series
Venue: (held virtually hosted by MSU-IIT)
26 October 2022
Title: Absolute Stability and Patterns of Oscillations in Queues with Delayed Information
Conference: 2022 MSP Annual Convention
Venue: (held online hosted by UPLB and DLSU)
May 21 - Jun 04, 2022
Title: A Comparison of the Dynamical Behavior of IS-LM Models with Different Tax Collection Lag Schemes
Conference: 2021 MSP Annual Convention
Venue: (held online hosted by UPLB)
May 15-29, 2021
Title: Numerical Continuation in Time Delay Systems Applied to Physiological and Ecological Models
Conference: 2019 MSP Annual Convention
Venue: General Santos City
May 27-29, 2019
Title: Numerical Bifurcation Analysis of a Tumor-Immune System Interaction Model with Time Delays
Conference: 2017 MSP Annual Convention
Venue: Legazpi City
May 29-31, 2017
Title: Distribution of the Roots of Third-Order Quasi-Polynomial Equations and Its Applications
Conference: 2015 MSP Annual Convention
Venue: Laoag City
May 18-19, 2015
Title: Zeros of Transcendental Equations with Applications to Population Dynamics
Conference: 2014 MSP Annual Convention
Venue: Iloilo City
May 26-27, 2014
Title: Compound Laser Modes of a Ring of Delay-Coupled Lasers
Conference: 2013 MSP Annual Convention
Venue: Puerto Princesa City
May 17-18, 2013
Title: Essential Spectrum of Differential Expressions with Exponentially Decaying Coefficients in Weighted Space
Conference: 2007 MSP Annual Convention
Venue: Tagbilaran City
May 18-19, 2007
Title: Perturbation of Differential Expressions with Exponentially Decaying Coefficients Preserving the Nullities
Conference: 2004 MSP Annual Convention
Venue: Dumaguete City

May 22-23, 2004

Public Service

Research Evaluator
PCSMT Faculty Research Congress
Ilocos Sur Polytechnic State College, Candon, Ilocos Sur
19-21 April 2023
Head, Organizing Committee
5th International Workshop on Mathematical Biology (IWOMB 2023)
UP Baguio
26-27 July 2023
Lecturer
28th Summer Institute in the Natural Sciences and Mathematics (SINSM 2023)
UP Baguio
27-29 Apr 2023
Trainor
DMCS Intensive Training Program (ITP)
UP Baguio
25 Jul -17 Aug 2022
Co-Moderator of the Parallel Session on Applied Mathematics
2022 MSP Annual Convention
(held online hosted by UPLB and DLSU)
May 21, 2022
Plenary Speaker
27th Summer Institute in the Natural Sciences and Mathematics (SINSM 2022)
(held online hosted by UP Baguio)
Apr 08, 2022
Member of Organizing Committee
Kanazawa University-University of the Philippines Baguio Joint Seminar on Mathematics
(held online hosted by Kanazawa U)
Feb 08, 2022
Co-Chair of Registration Committee
International Conference on Mathematical Sciences and Applications (SAB-ATAN 2021)
(held online hosted by UP Baguio)
Nov 24-26, 2021
Lecturer
Training-Workshop on Technology and Teaching Advanced Mathematics, Research, Development of Instructional Materials and Data Science
DMMSU, La Union
Jun 11, 2021
Member of Organizing Committee
4th International Workshop on Mathematical Biology (IWOMB 2021)
(held online hosted by UP Mindanao)
Jun 09-11, 2021
Co-Moderator of the Parallel Session on Differential Equations
2021 MSP Annual Convention
(held online hosted by UPLB)
May 29, 2021
Trainor
DMCS Intensive Training Program (ITP)
(held online hosted by UP Baguio)
May 24-31, 2021
Lecturer
26th Summer Institute in the Natural Sciences and Mathematics (SINSM 2021)
(held online hosted by UP Baguio)
May 06-08, 2021
Plenary Speaker
6th DMCS Summer School - Workshops on Graduate Research: In Honor of Prof. Macansantos' Retirement
(held online hosted by UP Baguio)
Feb 01-12, 2021

Memberships

Member, Society for Mathematical Biology (SMB)
2013 - Present
Member (Lifetime), Mathematical Society of the Philippines (MSP)
2013 - Present
Associate Member, Philippine American Academy of Scientists and Engineers (PAASE)
2018 - Present

Participation in Conferences and Trainings

CIMPA Research School on Functional Equations: Theory, Practice and Interactions
Venue: Hanoi, Vietnam (also held online)
Apr 12-23, 2021
Annual Meeting of the Society for Mathematical Biology
(held online)
Aug 17-20, 2020
CIMPA Research School on Group Actions in Arithmetic and Geometry
Venue: Yogyakarta, Indonesia
Feb 17-28, 2020
International Workshop on Mathematical Biology
Venue: Bohol, Philippines
Jan. 06-10, 2019
SEAMS School 2018 Dynamical Systems and Bifurcation Analysis
Venue: Penang, Malaysia
Aug 06-13, 2018
CIMPA Research School on Recent Developments in Stochastic Dynamics and Stochastic Analysis
Venue: Hanoi, Vietnam
Mar 05-18, 2018
International Workshop on Mathematical Biology
Venue: Cebu, Philippines
Jan 07-10, 2018
CIMPA Research School on Noncommutative Geometry and Applications to Quantum Physics
Venue: Quy Nhon, Vietnam
Jul 12-22, 2017
Winter School on Quantitative Systems Biology 2015
Venue: Bangalore, India
Dec 05-20, 2015
CIMPA Research School on Dynamical Systems: Examples, Billiards, and the 3-Body Problem
Venue: Daejeon, South Korea
May 25 - Jun 03, 2015
Hands-On Research School in Complex Systems
Venue: Trieste, Italy
Jun 30 - Jul 11, 2014
CIMPA Research School on Evolutionary Equations with Applications in Natural Sciences
Venue: Muizenberg, South Africa
Jul 22 - Aug 02, 2013
CAMBAM-MBI Summer School on Nonlinear Dynamics in Biological Networks
Venue: Montreal, QC, Canada
May 17-28, 2010
Workshop on Bifurcation Analysis and Its Applications
Venue: Montreal, QC, Canada
Jul 07-10, 2010
2009 Canadian Applied and Industrial Mathematics Society Annual Meeting
Venue: London, ON, Canada
Jun 10-14, 2009
2008 Canadian Mathematical Society Winter Meeting
Venue: Ottawa, ON, Canada
Dec 06-08, 2008
International Conference on Infinite Dimensional Dynamical Systems
Venue: Toronto, ON, Canada
Sep 24-28, 2008