2 citations · 2 across the 5 of their papers we have counts for
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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…
Nonuniform behavior and stability of Hopfield neural networks with delay
António J. G. Bento, José J. Oliveira, César M. Silva
We obtain a result on the behavior of the solutions of a general nonautonomous Hopfield neural network model with delay, assuming some general bound for the product of consecutive…
A mathematical model for the customer dynamics based on marketing policy
César M. Silva, Silvério Rosa, Helena Alves +1
We consider a compartmental model to study the evolution of the number of regular customers and referral customers in some corporation. Transitions between compartments are modeled…
Nonuniform dichotomic behavior: Lipschitz invariant manifolds for difference equations
António J. G. Bento, César M. Silva
We obtain global and local theorems on the existence of invariant manifolds for perturbations of non autonomous linear difference equations assuming a very general form of dichotom…