197 citations
- University of AveiroPT14 papers
- Universidade Federal de Santa CatarinaBR4 papers
- Universidade Federal do Rio GrandeBR3 papers
- University of Beira InteriorPT3 papers
- Brazilian Institute of Geography and StatisticsBR1 paper
- Iscte – Instituto Universitário de LisboaPT1 paper
- Kwame Nkrumah University of Science and TechnologyGH1 paper
- National Research Nuclear University MEPhIRU1 paper
- Saveetha UniversityIN1 paper
- Universidade Federal do Espírito SantoBR1 paper
- Université Mustapha Stambouli de MascaraDZ1 paper
- University of Arkansas at Little RockUS1 paper
21 papers
A consistent SIR model on time scales with exact solution
Márcia Lemos-Silva, Sandra Vaz, Delfim F. M. Torres
We propose a new dynamic SIR model that, in contrast with the available model on time scales, is biological relevant. For the new SIR model we obtain an explicit solution, we prove…
Exact solution for a discrete-time SIR model
Márcia Lemos-Silva, Sandra Vaz, Delfim F. M. Torres
We propose a nonstandard finite difference scheme for the Susceptible-Infected-Removed (SIR) continuous model. We prove that our discretized system is dynamically consistent with i…
Uniform Stability of Dynamic SICA HIV Transmission Models on Time Scales
Zahra Belarbi, Benaoumeur Bayour, Delfim F. M. Torres
We consider a SICA model for HIV transmission on time scales. We prove permanence of solutions and we derive sufficient conditions for the existence and uniform asymptotic stabilit…
Modelling the dynamics of online food delivery services on the spread of food-borne diseases
Emmanuel Addai, Delfim F. M. Torres, Zalia Abdul-Hamid +2
We propose and analyze a deterministic mathematical model for the transmission of food-borne diseases in a population consisting of humans and flies. We employ the Caputo operator…
Modeling Blood Alcohol Concentration Using Fractional Differential Equations Based on the -Caputo Derivative
Om Kalthoum Wanassi, Delfim F. M. Torres
We propose a novel dynamical model for blood alcohol concentration that incorporates -Caputo fractional derivatives. Using the generalized Laplace transform technique, we succes…
Generalized Taylor's formula for power fractional derivatives
Hanaa Zitane, Delfim F. M. Torres
We establish a new generalized Taylor's formula for power fractional derivatives with nonsingular and nonlocal kernels, which includes many known Taylor's formulas in the literatur…