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20052026
most citedNon-monotone travelling waves in a single species reaction-diffusion equation with delay

103 citations · 268 across the 16 of their papers we have counts for

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12 papers · 1 filter

math.CA2023

Asymptotic behaviour of general nonautonomous Nicholson equations with mixed monotonicities

Teresa Faria

A general nonautonomous Nicholson equation with multiple pairs of delays in {\it mixed monotone} nonlinear terms is studied. Sufficient conditions for permanence are given, with ex…

math.CA2021

Positive periodic solutions for systems of impulsive delay differential equations

Teresa Faria, Rubén Figueroa

A class of periodic differential -dimensional systems with patch structure with (possibly infinite) delay and nonlinear impulses is considered. These systems incorporate very ge…

math.CA2021★ 10 cited

Global attractivity for a nonautonomous Nicholson's equation with mixed monotonicities

Teresa Faria, Henrique C. Prates

We consider a Nicholson's equation with multiple pairs of time-varying delays and nonlinear terms given by mixed monotone functions. Sufficient conditions for the permanence, local…

math.CA2020★ 12 cited

Stability for nonautonomous linear differential systems with infinite delay

Teresa Faria

We study the stability of general -dimensional nonautonomous linear differential equations with infinite delays. Delay independent criteria, as well as criteria depending on the…

math.CA2016★ 51 cited

Periodic solutions for a non-monotone family of delayed differential equations with applications to Nicholson systems

Teresa Faria

For a family of -dimensional periodic delay differential equations which encompasses a broad set of models used in structured population dynamics, the existence of a positive pe…

math.CA2016

Asymptotic behaviour for a class of non-monotone delay differential systems with applications

Teresa Faria, Rafael Obaya, Ana M. Sanz

The paper concerns a class of -dimensional non-autonomous delay differential equations obtained by adding a non-monotone delayed perturbation to a linear homogeneous cooperative…

math.CA2016★ 10 cited

On Stability for Impulsive Delay Differential Equations and Application to a Periodic Lasota-Wazewska Model

Teresa Faria, José J. Oliveira

We consider a class of scalar delay differential equations with impulses and satisfying an Yorke-type condition, for which some criteria for the global stability of the zero soluti…

math.CA2015★ 9 cited

Persistence and permanence for a class of functional differential equations with infinite delay

Teresa Faria

The paper deals with a class of cooperative functional differential equations (FDEs) with infinite delay, for which sufficient conditions for persistence and permanence are establi…

math.CA2014

A note on permanence of nonautonomous cooperative scalar population models with delays

Teresa Faria

For a large family of nonautonomous scalar-delayed differential equations used in population dynamics, some criteria for permanence are given, as well as explicit upper and lower b…

math.CA2014

Global Dynamics for Lotka-Volterra Systems with Infinite Delay and Patch Structure

Teresa Faria

We study some aspects of the global dynamics of an -dimensional Lotka-Volterra system with infinite delay and patch structure, such as extinction, persistence, existence and glo…

math.CA2013★ 5 cited

Global Attractivity and Extinction for Lotka-Volterra systems with infinite delay and feedback controls

Teresa Faria, Yoshiaki Muroya

The paper deals with a multiple species Lotka-Volterra model with infinite distributed delays and feedback controls, for which we assume a weak form of diagonal dominance of the in…

math.CA2010★ 21 cited

Positive travelling fronts for reaction-diffusion systems with distributed delay

Teresa Faria, Sergei Trofimchuk

We give sufficient conditions for the existence of positive travelling wave solutions for multi-dimensional autonomous reaction-diffusion systems with distributed delay. To prove t…