103 citations · 268 across the 16 of their papers we have counts for
17 papers
Stability analysis of Richardson models with delay for confrontation between two countries
Teresa Faria, Anatoliy A. Martynyuk
This article proposes a non-autonomous mathematical model with delay for confrontation between two countries, and examines the stability of its equilibrium state. Our criteria for…
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…
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…
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…
Permanence for nonautonomous differential systems with delays in the linear and nonlinear terms
Teresa Faria
In this paper, we obtain sufficient conditions for the permanence of a family of nonautonomous systems of delay differential equations. This family includes structured models from…
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…
Attractivity of Saturated Equilibria for Lotka-Volterra Systems with Infinite Delays and Feedback Controls
Yoshiaki Muroya, Teresa Faria
In this paper, we apply a Lyapunov functional approach to Lotka-Volterra systems with infinite delays and feedback controls and establish that the feedback controls have no influen…
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…
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…
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…
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…
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…
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…
Persistence, permanence and global stability for an n-dimensional Nicholson system
Teresa Faria, Gergely Rost
For a Nicholson's blowflies system with patch structure and multiple discrete delays, we analyze several features of the global asymptotic behavior of its solutions. It is shown th…
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…
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…
Non-monotone travelling waves in a single species reaction-diffusion equation with delay
Teresa Faria, Sergei Trofimchuk
We prove the existence of a continuous family of positive and generally non-monotone travelling fronts in delayed reaction-diffusion equations $u_t(t,x) = Δu(t,x)- u(t,x) + g(u(t-h…