137 citations · 1.6k across the 45 of their papers we have counts for
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A SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde
Cristiana J. Silva, Delfim F. M. Torres
We propose a new mathematical model for the transmission dynamics of the human immunodeficiency virus (HIV). Global stability of the unique endemic equilibrium is proved. Then, bas…
An epidemic model for cholera with optimal control treatment
Ana P. Lemos-Paiao, Cristiana J. Silva, Delfim F. M. Torres
We propose a mathematical model for cholera with treatment through quarantine. The model is shown to be both epidemiologically and mathematically well posed. In particular, we prov…
Stability and Optimal Control of a Delayed HIV Model
Diana Rocha, Cristiana J. Silva, Delfim F. M. Torres
We propose and investigate a delayed model that studies the relationship between HIV and the immune system during the natural course of infection and in the context of antiviral tr…
Optimal Control of a Tuberculosis Model with State and Control Delays
Cristiana J. Silva, Helmut Maurer, Delfim F. M. Torres
We introduce delays in a tuberculosis (TB) model, representing the time delay on the diagnosis and commencement of treatment of individuals with active TB infection. The stability…
Linear partial divided-difference equation satisfied by multivariate orthogonal polynomials on quadratic lattices
D. D. Tcheutia, Y. Guemo Tefo, M. Foupouagnigni +2
In this paper, a fourth-order partial divided-difference equation on quadratic lattices with polynomial coefficients satisfied by bivariate Racah polynomials is presented. From thi…