37 citations · 113 across the 18 of their papers we have counts for
21 papers
Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms
António J. G. Bento, José J. Oliveira, César M. Silva
In this paper, a new global exponential stability criterion is obtained for a general multidimensional delay difference equation using induction arguments. In the cases that the di…
Nonuniform -dichotomy spectrum and kinematic similarity
César M. Silva
For linear nonautonomous differential equations we introduce a new family of spectrums defined with general nonuniform dichotomies: for a given growth rate in a large family of…
Admissibility and generalized nonuniform dichotomies for discrete dynamics
César M. Silva
We obtain characterizations of nonuniform dichotomies, defined by general growth rates, based on admissibility conditions. Additionally, we use the obtained characterizations to de…
Dynamics of a discrete eco-epidemiological model with disease in the prey
Lopo F. de Jesus, César M. Silva, Helder Vilarinho
Using Mickens nonstandard method, we obtain a discrete family of nonautonomous eco-epidemiological models that include general functions corresponding to the predation of the infec…
Random perturbations of an eco-epidemiological model
Lopo F. de Jesus, César M. Silva, Helder Vilarinho
We consider random perturbations of a general eco-epidemiological model. We prove the existence of a global random attractor, the persistence of susceptibles preys and provide cond…
An eco-epidemiological model with general functional response of predator to prey
Lopo F. de Jesus, César M. Silva, Helder Vilarinho
We consider a nonautonomous eco-epidemiological model with general functions for predation on infected and uninfected preys as well as general functions associated to the vital dyn…