Personal Data

Full name

Maria Teresa Faria da Paz Pereira

Publishing name

Maria Teresa Faria da Paz Pereira

Birthday

1958-08-11T00:00:00

Academic Degrees

DOUTORAMENTO(0)

Degree date

1992

Final grade

Distinção e Louvor, com unanimidade

Degree granting institution

Universidade Técnica de Lisboa

School / College / Campus

Instituto Superior Técnico

Thesis title

(Não existe tese de agregação)

Supervisor

Co-supervisor

Scientific area

Matemática

MESTRADO(0)

Degree date

1986

Final grade

Muito Bom

Degree granting institution

Universidade Técnica de Lisboa

School / College / Campus

Instituto Superior Técnico

Thesis title

(Não existe tese de agregação)

Supervisor

Co-supervisor

Scientific area

Matemática

LICENCIATURA(0)

Degree date

1981

Final grade

18 valores

Degree granting institution

Universidade de Lisboa

School / College / Campus

Faculdade de Ciências

Thesis title

(Não existe tese de agregação)

Supervisor

Co-supervisor

Scientific area

Matemática

AGREGAÇÃO(0)

Degree date

2009

Final grade

Unanimidade

Degree granting institution

Universidade de Lisboa

School / College / Campus

Other

Thesis title

(Não existe tese de agregação)

Supervisor

Co-supervisor

Scientific area

Matemática

Profissional activity

Period Position Institution
2009- Professora associada com agregação Departamento Matematica, Faculdade de Ciências da Universidade de Lisboa
1981-82 Professora do Ensino Secundário Escola Secundária da Cidade Universitária
1982-86 Assistente Estagiária Dep. Matemática, Faculade de Ciências, Universidade de Lisboa
1986-1992 Assistente Dep. Matemática, Faculade de Ciências, Universidade de Lisboa
1992-2002 Professora Auxiliar Dep. Matemática, Faculade de Ciências, Universidade de Lisboa
2002-2009 Professora Associada Departamento Matematica, Faculdade de Ciências, Universidade de Lisboa

Area of scientific activity

Area of scientific activity

Matemática

Specialization domain

Equações Diferenciais Funcionais

Current main scientific area

Estabilidade local e global de Equações Diferenciais Funcionais; problemas de bifurcação; formas normais; comportamento assimptótico das equações em termos de dissipatividade, persistência, permanência, existência de equilíbrios ou soluções periódicas e sua atractividade; modelos populacionais com atrasos, nomeadamente modelos logísticos, sistemas de tipo Lotka-Volterra e de tipo Nicholson; redes neuronais com atrasos; "traveling waves" para equações de reacção-difusão com atraso; EDFs com impulsos. Persistência, permanência, existência de soluções periódicas para equações diferenciais com atrasos não autónomas. Atrasos infinitos.

Other scientific activities

.

Experience as scientific advisor

Orientação da tese de Mestrado em Matemática de José J. Oliveira, intitulada "Estabilidade Local e Global para Equaçõs Diferenciais Retardadas", FCUL, Dezembro 2003.

Orientação de Doutoramento de José J. Oliveira, tese intitulada
“Asymptotic Stability for Population Models and Neural Networks with Delays”, Universidade de Lisboa, Outubro 2008.


Orientação da tese de Mestrado em Matemática de Patrícia Batista, tese intitulada “Estabilidade de Sistemas de Tipo Lotka-Volterra com Atrasos”, Dezembro 2008.

Supervisão de estágio científico no CMAF da Prof. Marta C. Gadotti (Universidade Estadual Paulista Julio de Mesquita Filho, SP, Brasil, financiada por uma bolsa da UNESP, Brasil), de Dezembro 2010 a Maio 2011.

Supervisão de estágio científico no CMAF de Adrian A. Gomez (doutorando da Universidade de Talca, Chile, financiado por uma bolsa do FONDECYT, Chile), de Março a Julho de 2012.

Orientação do projecto de Diogo Caetano, "Asymptotic Behaviour of Delay Differential Equations in Population Models", Programa de Estímulo à Investigação 2016 da Fundação Calouste Gulbenkian (Dez. 2016--)

Orientação da tese de Mestrado em Matemática de Diogo Caetano (Set. 2017-).

Participations in R&D projects

Projecto FONDECYT (Chile) 7080045, Título: Some aspects of dynamics in time-delayed negative feedback systems.
(Março de 2008 - Março de 2009). Investigador Responsável: Sergei Trofimchuk (Universidade de Talca, Chile); - investigador extranjero de contraparte: Teresa Faria.


Projecto PRAXIS/2/2.1/MAT/125/94, “Análise Local e Global das Equações Diferenciais. Fundamentos e Aplicações".<br><br>Projecto PRAXIS/PCEX/P/MAT/36/96, “Teoria Qualitativa de Equações Funcionais e Sistemas de Equações às Derivadas Parciais", financiado pelo programa PRAXIS XXI da FCT (Setembro de 1997-Agosto de 1999), membro.<br><br> projecto POCTI/32931/MAT/2000, “Teoria Qualitativa de Equações Diferenciais", financiado pela FCT (Outubro de 2000-Setembro de 2003), membro.<br><br>Projecto FONDECYT (Chile) 7040044, “Qualitative Theory and Applications of Functional Differential Equations" (Março 2004 - Março 2005) - investigador extranjero de contraparte; investigador responsável: Sergei Trofimchuk, Univ. Talca, Chile.<br><br>Projecto PDCT/MAT/56476/2004, “Geometric Properties of Invariant Sets”, financiado pela FCT (Dezembro 2005-Dezembro de 2007), membro.<br>

Awards

Year Award Awarding entity

Publications

Publicações em actas de encontros científicos

  • T. Faria and L.T. Magalhães, Normal forms for functional
    differential equations and applications, in Proceedings of
    EQUADIFF91, C. Perell\\'o, C. Simó and
    J. Solá-Morales Eds, Barcelona, (1993) 474-478.

    T. Faria, Normal forms on centre manifolds for periodic
    functional differential equations, in Proceedings of
    EQUADIFF95, L. Magalhães, C. Rocha and L. Sanchez Eds,
    Lisboa, (1998) 322-326.

    T. Faria, Hopf bifurcation for a delayed predator-prey model
    and the effect of diffusion, in Progress in Nonlinear
    Differential equations and Their Applications,
    M.R. Grossinho, M. Ramos, C. Rebelo and L. Sanchez Eds, Vol.
    43, Birkhauser, Boston (2001) 257-269.

    T. Faria, Global stability and singularities for Lotka-Volterra systems with delays, in Proceedings of the Conference on Boundary Value Problems. Mathematical Models in Engineering, Biology and Medicine, A. Cabada, E. Liz and J.J. Nieto Eds, American Institute of Physics, New-York (2009), 138--147.

Capítulos de livros

  • Sec 8.3-8.8 in "Dynamics in Infinite Dimensions", J.K. Hale, L.T. Magalhães and W.M. Oliva, Springer-Verlag, 2002.<br><br>“Normal Forms and Bifurcations for Delay Differential Equations”, Chapter 7, in Delay Differential Equations ((O. Arino, M. L. Hbid, E. Ait Dads Eds), Springer-Verlag, 2006.<br>

Artigos em revistas de circulação internacional com arbitragem científica

  • T. Faria and L.T. Magalhães, Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity, J. Differential Equations 122 (1995), 201-224.

    T. Faria and L.T. Magalhães, Normal forms for retarded functional differential equations with parameters and applications to Hopf singularity , J. Differential Equations 122 (1995), 181-200.

    T. Faria and L.T. Magalhães, Realisation of ordinary differential equations by retarded functional differential equations in neighbourhoods of equilibrium points, Proc. Roy. Soc. Edinburgh Sect. A 125 (1995), 759-776.

    T. Faria and L.T. Magalhães, Restrictions on the possible flows of scalar retarded functional differential equations in neighborhoods of singularities, J. Dynamics and Differential Eqs. 8 (1996), 35-70.

    T. Faria, Normal forms for periodic retarded functional differential equation, Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), 21-46.

    T. Faria, Bifurcations aspects for some delayed population models with diffusion, Fields Institute Communications 21 (1999), 143-158.

    J. Wu, T. Faria and Y. S. Huang, Synchronization and stable phase-locking in a network of neurons with memory, Mathematical and Computer Modelling 30 (1999), 117-138.

    T. Faria, Normal forms and Hopf bifurcation for partial differential equations with
    delays, Transactions of the AMS 352 (2000), 2217-2238.

    T. Faria, On a planar system modelling a neuron network with memory, J. Differential Equations 168 (2000), 129-149.

    T. Faria, Stability and bifurcation for a delayed predator-prey model and the effect of diffusion J. Math. Anal. Appl. 254 (2001), 433-463.

    T. Faria, Normal forms for semilinear functional differential equations in Banach spaces
    and Applications, Part II, Disc Cont. Dyn. Systems 7(1) (2001), 155-176.

    T. Faria and W. Huang, Stability of periodic solutions arising from Hopf bifurcation for a reaction-diffusion equation with time delay, Fields Institute Communications 31 (2002), 125-141.

    T. Faria, W. Huang and J. Wu, Smoothness of center manifolds for maps and formal adjoints for semilinear FDEs in general Banach spaces, SIAM J. Math. Anal. 34 (2002), 173-203.

    T. Faria, On the Study of Singularities for a Planar System with Two Delays, Dyn. Cont. Disc. Impul. Systems A 10 (2003), 357-372.

    T. Faria and E. Liz, Boundedness and asymptotic stability for delayed equations of logistic type, Proc. Roy. Soc. Edinburgh Sect. A 133 (2003) 1057-1073.

    T. Faria, Global attractivity in scalar delayed differential equations with applications to population models, J. Math. Anal. Appl. 289 (2004), 35-54.

    T. Faria, An asymptotic stability result for scalar delayed population models, Proc. Amer. Math. Soc. 132 (2004), 1163-1169.

    T. Faria, A criterion for the global attractivity of scalar population models with delay, Electron. J. Qual. Theory of Diff. Equ., Proc. 7th coll. QTDE, 8 (2004), 1-7.

    T. Faria and W. Huang, Special solutions for linear functional differential equations and asymptotic behaviour, Differential and Integral Equations, 18(3) (2005), 337--360.

    T. Faria, E. Liz, J.J. Oliveira and S. Trofimchuk, On a generalized Yorke condition for scalar delayed population models, Disc Contin. Dyn. Systems, 12(3) (2005), 481-500.

    T. Faria, Asymptotic stability for delayed logistic type equations, Math. Comput. Modelling, 43 (2006), 433-445.

    T. Faria, W. Huang and J. Wu, Traveling waves for delayed reaction-diffusion equations with global response, Proc. Roy. Soc. London Ser. A Math. Phys. Eng. Sci., 462 (2006), 229--261.

    T. Faria and S. Trofimchuk, Nonmonotone travelling waves in a single species reaction-diffusion equations with delay, J. Differential Equations, 228 (2006), 357--376.

    T. Faria and S. Trofimchuk, Positive Heteroclinics and Traveling Waves for Scalar Population Models with a Single Delay, Appl. Math. Comput., 185 (2007), 594-603.

    T. Faria and J.J. Oliveira, Global attractivity for scalar differential equations with small delay", J. Math. Anal. Appl., 329 (2007), 1397-1420.

    T. Faria and José J. Oliveira, Local and global stability for Lotka-Volterra systems
    with distributed delays and instantaneous feedbacks, J. Differential Equations, 244 (2008), 1049--1079.

    T. Faria and J. Oliveira, Boundedness and global exponential stability for delayed
    differential equations with applications, Appl. Math. Comput., 214 (2009), 487--496.

    T. Faria, Sharp Conditions for Global Stability of Lotka-Volterra Systems with
    Distributed Delays, J. Differential Equations, 246 (2009), 4391--4404.

    T. Faria and S. Trofimchuk, Positive travelling fronts for reaction-diffusion systems with distributed delay, Nonlinearity 23 (2010), 2457-2481.

    T. Faria, Stability and Extinction for Lotka-Volterra Systems with Infinite Delay, J. Dynam. Differential Equations 22 (2010), 299-324.

    T. Faria and J. J. Oliveira, General criteria for asymptotic and exponencial stabilities of neural network models with unbounded delay, Appl. Math. Comput. 217 (2011), 9646--9658.

    T. Faria, Global asymptotic behaviour for a Nicholson model with patch structure and multiple delays, Nonlinear Anal. 74 (2011), 7033-7046.

    T. Faria, Asymptotic behaviour for a class of delayed cooperative models with patch structure (to appear in Disc. Cont. Dyn. Systems, Series S).

Artigos em revistas de circulação internacional com arbitragem científica

  • T. Faria, Asymptotic behaviour for a class of delayed cooperative models with patch structure, Disc. Cont. Dyn. Systems Series B, 18 (2013), 1567--1579.

    T. Faria, A note on permanence of nonautonomous cooperative scalar population models with delays, Appl. Math. Comput., 240 (2014), 82–90.

    T. Faria and G. R ¨ost, Persistence, permanence and global stability or an n-dimensional Nicholson system, J. Dyn. Diff. Equ., 26 (2014), 723–744.

    T. Faria, Global Dynamics for Lotka-Volterra Systems with Infinite Delay and Patch Structure, Appl. Math. Comput., 245 (2014), 575–590.

    T. Faria and Y. Muroya, Global Attractivity and Extinction for Lotka-Volterra systems with infinite delay and feedback controls, Proc. Roy. Soc. Edinburgh Sect. A, 145 (2015), 301-330.

    T. Faria e J.J. Oliveira, A Note on Stability of Impulsive Scalar Delay Differential Equations, Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 69, 14 pp.

    T. Faria e J.J. Oliveira, On Stability for Impulsive Delay Differential Equations and Application to a Periodic Lasota-Wazewska Model, Disc. Cont. Dyn. Systems Series B 21 (2016), 2451--2472.

    T. Faria, Persistence and permanence for a class of functional differential equations with infinite delay, J. Dyn. Diff. Equ. 28 (2016), 1163—1186.

    T. Faria, R. Obaya, A.M. Sanz, Asymptotic behaviour for a class of non-monotone delay differential systems with applications, J. Dyn. Diff. Equ. (2017). https://doi.org/10.1007/s10884-017-9572-8.

    T. Faria, Periodic solutions for a non-monotone family of delayed differential equations with applications to Nicholson systems, J. Differential Equations 263 (2017), 509-533.

    T. Faria, J.J. Oliveira, Existence of positive periodic solutions for scalar delay differential equations with and without impulses, J. Dyn. Diff. Equ. (published online September 5, 2017). https://doi.org/10.1007/s10884-017-9616-0.

    D. Caetano, T. Faria, Stability and attractivity for Nicholson systems with time-dependent delays, Electron. J. Qual. Theory Differ. Equ. 2017, Paper 63, 1-19.

Artigos em revistas de circulação internacional com arbitragem científica

  • T. Faria, M. Gadotti and J.J. Oliveira, Stability results for impulse functional differential equations with infinite delay, Nonlinear Anal., 75 (2012), 6570--6587.

Livros (editor)

  • "Topics in Functional Differential and Difference Equations"<br>(T. Faria and P. Freita Eds), The Fields Institute<br>Communications, Vol. 29, American Mathematical Society,<br>2001.<br><br>

Teses

  • "Formas Normais e Dinâmica Local de Equações Diferenciais Funcionais", tese de doutoramento, IST/UTL, Lisboa, 1992.<br><br>"Formas Normais: Equações Diferenciais Ordinárias e Equações Diferenciais Funcionais Escalares", tese de mestrado, IST/UTL, Lisboa, 1986.

Communications

Comunicações orais por convite

Positive travelling waves for multi-dimensional reaction-diffusion systems with delays, 8th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Dresden, Germany, May 25-28, 2010 (invited speaker in special session).

Travelling waves for reaction-diffusion systems with delays and applications, ICMC Summer Meeting on Differential Equations - 2010 Chapter, São Carlos, Brazil, February 08-10, 2010 (invited speaker; member of the Scientific Committee.

Comunicações orais por convite

"Extinction and stability for delayed Lotka-Volterra systems with feedback controls", 5th Workshop Dynamical Systems Applied to Biology and Natural Sciences DSABNS 2014, Lisbon, Portugal, February 10-12, 2014 ("invited speaker").

"Global Attractivity and Extinction for Lotka-Volterra systems with infinite delay and feedback controls", International Conference on Delay Differential and Difference Equations and Applications, Balatonfured, Hungary, July 15-19, 2013 ("invited speaker").

"Extinction and stability for delayed Lotka-Volterra systems with feedback controls”, 5th Workshop Dynamical Systems Applied to Biology and Natural Sciences DSABNS 2014, Lisbon, February 10-12, 2014 (“invited speaker”).

"Asymptotic behaviour for a Nicholson system with multiple delays", 10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Madrid, July 7–11, 2014 (“invited speaker” in special session).

"Global dynamics for some classes of Lotka-Volterra systems with infinite delay", 10th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Madrid, July 7–11, 2014 (“invited speaker” in special session).

"Persistence, permanence and stability for a multi-dimensional Nicholson’s blowflies model", 6th Workshop Dynamical Systems Applied to Biology and Natural Sciences DSABNS 2015, Lisbon, February 04-06, 2015 (plenary talk).

"Permanence of nonautonomous cooperative population models with delays, Short Thematic Program on Delay Differential Equations - sub-theme ”Structured Delay Systems”, Fields Institute, Toronto, May 19–22, 2015 (“invited participant and speaker”).

"Persistence and permanence for a class of nonautonomous delay differential equations", Nonautonomous Dynamics and Applications, Universidad de Valladolid, November 25–27, 2015 (invited participant and speaker).

"Persistence and stability for some cooperative population models with delays", 7th Workshop Dynamical Systems Applied to Biology and Natural Sciences DSABNS 2016, Universidade de Évora, February 02-05, 2016 (plenary talk - invited).

"Delay Differential Equations in population dynamics" (course), in "Workshop on Differential Equations and Applications", Universidad de Vigo, Ourense, June 1-3, 2016 (invited lecturer, six lectures).

"Asymptotic behaviour for some classes of non-autonomous delay differential equations", 6th IST-IME Meeting, IST-Universidade de Lisboa, September 5-9, 2016 (invited speaker).

"Positive periodic solutions for delay differential equations with nonmonotone nonlinearity", International Conference on Differential and Difference Equations and Applications, Military Academy, Amadora, Portugal, June 5--9, 2017 (invited speaker in special session).

"Global dynamics for some classes of delay differential systems from population dynamics", CEDYA+CMA, Cartagena (Spain), June 26-30, 2017 (invited speaker in special session).

Comunicações orais por convite

Global dynamics for a Nicholson-type system with multiple delays, Conference on Differential and Difference Equations and Applications 2012, Terchová, Slovakia, June 25-29, 2012 (invited speaker).

Global behaviour for an $n$-dimensional Nicholson model with multiple delays, 4th IST-IME Meeting, IST, Lisboa, September 3-7, 2012 (invited speaker).

Comunicações orais por convite

"Normal forms for functional differential equations with diffusion",
International Conference on Differential Equations and Applications to Biology, Halifax,
Canada, July 25-29, 1997 (“invited speaker”).

“Stability and bifurcation for a delay Lotka--Volterra system without and with diffusion", Workshop on Global and Geometric Theory of Delay Differential Equations,
Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, 11-17 de Janeiro de 1998 (“invited participant”).

“Behaviour near the positive equilibrium for a delay predator-prey system with diffusion",
Fifth International Conference on Mathematical Population Dynamics, Zakopane, Poland, June 21-26, 1998 (“nvited speaker in organized session").

“Bifurcation analysis for a delayed predator-prey system and the effect of diffusion", Autumn School on Nonlinear Analysis and Differential Equations, Lisboa, September-October, 1998 (“invited speaker").

“Delays and diffusion in a predator-prey model",
Conference on Dynamical Systems and Evolutionary Equations, Lisboa, November 23-28, 1998.

“Bifurcation analysis for some reaction-diffusion equations with delays",
Nonlinear Parabolic Problems, Lisboa, Portugal, May 13-16, 1999 (``invited speaker").

“A two-neuron network with memory",
Conference on Differential Equations and Dynamical systems, Lisboa, Portugal, June 26-30, 2000.

“Formal adjoints for functional differential equations in Banach spaces",
The Third World Congress of Nonlinear Analysts, Catania, Italy, July 19-26, 2000 (“invited speaker in organized session").

“Singularities and Normal Forms for
Semilinear Functional Differential Equations in Banach Spaces",
957th AMS Meeting,Toronto, Canada, September 23-24, 2000 (``invited speaker in special session").

“Hopf bifurcation for a reaction-diffusion equation with time delay",
International Conference on Dynamics of Continuous, Discrete and Impulsive Systems, London, Ontario, Canada, July 29-31, 2001 (“invited speaker in organized session").

“Global and asymptotic behaviour for some delayed scalar population models",
International Workshop on Nonlinear Dynamical Systems with Applications, St. John´s, Newfoundland, Canada, July 15-18, 2002 (``invited speaker").

“Normal Forms and Bifurcations for Delay Differential Equations",
six lectures course, in “Second Autumn School on Delay Differential Equations: Theory and Applications", University of Cadi Ayyad, Marrakech, Morocco, September 09-21, 2002.

“Some asymptotic results for scalar population models with delay”, International Conference on Differential Equations EQUADIFF 2003, Hasselt, Belgium, July 22-26, 2003 (”invited speaker in mini-symposium").

“Asymptotic behaviour for delayed scalar equations of logistic type",
7th Colloquium on the Qualitative Theory of Differential Equations, Szeged, Hungary, July 14-18, 2003 (“invited speaker").

“Special solutions for linear functional differential equations and asymptotic behaviour", Workshop on Functional Differential Equations, Banff International Research Station for Mathematical Innovation and
Discovery, Banff, Canada, November 6-11, 2004 (“invited participant”).

“Asymptotic behaviour of scalar delayed population models", International Workshop on Differential Equations in Mathematical Biology, le Havre, France, July 11-13, 2005 (“invited speaker”).

“Nonmonotone Travelling Waves for a Scalar Reaction-Diffusion Equation with Delay", 6th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Poitiers, France, June 25-28, 2006 (“invited speaker in special session").

“Non-Monotone Travelling Waves for a Class of Scalar Delayed Population Models with Diffusion", International Conference on Recent Developments in Differential Equations and Applications, Guangzhou, China, July 17-21, 2006 (“invited speaker").

``Local and Global Stability for Lotka-Volterra Systems with Distributed Delays",
8th Colloquium on the Qualitative Theory of Differential Equations, Szeged, Hungary, June 25-28, 2007 (`"invited speaker").

"Stability for $n$-Species Lotka-Volterra Models with Distributed Delays",
ICMC Summer Meeting on Differential Equations - 2008 Chapter, São Carlos, Brasil, January 28-February 01, 2008 ("invited speaker").

"Boundedness and Stability for Delayed n-Dimensional Models in Biology", Conference on Boundary Value Problems. Mathematical Models in Engineering, Biology and Medicine, Santiago de Compostela, Spain, 2008 (invited speaker).

“Stability and Extinction for Lotka-Volterra Systems with Infinite Delay”, Workshop on Delay Differential Equations: from Theory to Applications, Bristol, UK, September 07-09, 2009 (invited speaker).

"Stability for Lotka-Volterra Systems with Delays", Mini-simposium SPM/CIM ``Mathematical Biology", Lisboa, November 25, 2009 (invited).

"Travelling waves for reaction-diffusion systems with delays and applications",
ICMC Summer Meeting on Differential Equations - 2010 Chapter, São Carlos, Brasil, February 08-10, 2010(invited speaker; member of the scientific committee).

‘Positive travelling waves for multi-dimensional reaction-diffusion systems with delays", 8th AIMS International Conference on Dynamical Systems, Differential Equations and Applications, Dresden, Germany, May 25-28, 2010 (invited speaker in special session).

"Asymptotic behaviour for a Nicholson-type system with patch structure",
9th Colloquium on the Qualitative Theory of Differential Equations, Szeged, Hungria, June 28-Jully 1, 2011 (invited lecture).

‘Global stability for Nicholson-type systems with multiple delays and the effect of diffusion", International Conference on Differential and Difference Equations and Applications, Ponta Delgada, Portugal, July 4-8, 2011 (main lecture).