This research group works on researches that utilize dynamical systems techniques to analyze mathematical models arising in applications such as in Physics and Biology. In particular, the group has been working on areas like Theoretical Ecology, Laser Dynamics, Mathematical Epidemiology, and Queueing Theory to name a few. The group is also the first in the Philippines to use the Theory of Delay Differential Equations, Equivariant Bifurcation Theory and Numerical Continuation in its research.
Llenos, L.C.P., Miranda, I.L.G., Domogo, A.A., and Collera, J.A. (2023) Mathematical Modeling of Antibiotic Resistance in Hospital with Dysbiosis, Chiang Mai J. Sci. 50(3), Article ID e2023027.
Download: https://epg.science.cmu.ac.th/ejournal/journal-detail.php?id=11726
Domogo, A.A. and 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.
Download: https://mathsociety.ph/matimyas/images/vol45/DomogoMatimyas.pdf
Collera, J.A., de la Cruz, R.R.B. (2022) Dynamics of a Delayed Kaldor-Kalecki Model of Mutually Linked Economies. In: Ehrhardt, M., Günther, M. (eds), Mathematics in Industry, vol 39. Springer, Cham.
URL: https://link.springer.com/chapter/10.1007/978-3-031-11818-0_12
Coupled Delayed Action Oscillator Model of the El Niño Southern Oscillation presented by J.A. Collera at the 22nd ECMI Conference on Industrial and Applied Mathematics, Wrocław University of Science and Technology, Wrocław, Poland, 26-30 June 2023.
Mathematical Modeling of Antibiotic Resistance in Hospital with Dysbiosis presented by L.C.P. Llenos and I.L.G. Miranda at the 3rd International Conference on Mathematical Sciences and Technology, Universiti Sains Malaysia, Penang, Malaysia, 13-15 September 2022.
Jan Martin S. Gonzales, MS Mathematics, 2023.
Title: “Modelling a Glucose-Insulin-Free Fatty Acids Dynamical System with Time Delays: Insights on the Effects of Bariatric Surgery”
Flerida Regine F. Cruz, MS Mathematics, 2023.
Title: “Local Stability Analysis of the Queues-with-Choice Model with Different Service Rates”
Ronnel John A. Garcia, MS Mathematics, 2022.
Title: “Local Stability and Hopf Bifurcation Analysis of a Coupled Neuron System With Leakage, Coupling and Distributed Delays”
Deegie G. Elopre, MS Mathematics, 2020.
Title: “Dynamics of Tumor-Immune System Interaction Model with Time Delays using Gompertz Equation”
Karen Abegail E. Bucasas, MS Mathematics, 2020.
Title: “Stable and Unstable Manifolds in an Intraguild Predation Model with Harvesting”
Kimben M. Gonzales, MS Mathematics, 2019.
Title: “Analysis of a Delayed Vector-Borne Plant Virus Propagation Model with Beddington-DeAngelis Incidence Rate”
Anthony M. Pasion, MS Mathematics, 2018.
Title: “A Geometric Stability Switch Criterion in Delay Differential Systems with Delay-Dependent Parameters and its Application to an SIRS Epidemic Model with Latency and Temporary Immunity”
Aldrin T. Balilo, MS Mathematics, 2014.
Title: “Delayed Three-Species Predator-Prey Model with Non-monotonic Functional Response”
Andrei A. Domogo, MS Mathematics, 2012.
Title: “Symmetry-Breaking Bifurcations in Delay-Coupled Lasers with Unidirectional Coupling”
Krizelda Claire V. Cayabyab and Hannah Denise C. Sarilla, BS Mathematics, 2023.
Title: “Mathematical Modeling of Circadian Rhythm using Amplitude-Phase Oscillator Model with Different Zeitgebers”
Alyssa Marie S. Gamboa and Krizel T. Sahagun, BS Mathematics, 2022. (Awarded Best Thesis)
Title: “Stability and Bifurcation Analysis of a Cryptocurrency Model with Government Intervention”
Luzz Claire P. Llenos and Ivy Lorelei G.Miranda, BS Mathematics, 2022.
Title: “Mathematical Modeling of Antibiotic Resistance with Dysbiosis in Hospital”
Bryan Dustin A. Aniciete and Neil Aubrey B. Gamido, BS Mathematics, 2022.
Title: “Mathematical Modeling of Public Opinion due to Interpersonal Communication and Mass Media Influence”
