731 citations · 924 across the 8 of their papers we have counts for
8 papers
A Digital Twin of a Compartmental Epidemiological Model based on a Stieltjes Differential Equation
Iván Area, F. J. Fernández, Juan J. Nieto +1
We introduce a digital twin of the classical compartmental SIR (Susceptible, Infected, Recovered) epidemic model and study the interrelation between the digital twin and the system…
Optimal control of vaccination and plasma transfusion with potential usefulness for COVID-19
Juliana Couras, Ivan Area, Juan J. Nieto +2
The SEIR model is a compartmental model used to simulate the dynamics of an epidemic. In this chapter, we introduce two control functions in the compartmental SEIR model representi…
Optimal control of the COVID-19 pandemic: controlled sanitary deconfinement in Portugal
Cristiana J. Silva, Carla Cruz, Delfim F. M. Torres +9
The COVID-19 pandemic has forced policy makers to decree urgent confinements to stop a rapid and massive contagion. However, after that stage, societies are being forced to find an…
Mathematical Modeling of COVID-19 Transmission Dynamics with a Case Study of Wuhan
Faical Ndairou, Ivan Area, Juan J. Nieto +1
We propose a compartmental mathematical model for the spread of the COVID-19 disease with special focus on the transmissibility of super-spreaders individuals. We compute the basic…
A fuzzy method for solving fuzzy fractional differential equations based on the generalized fuzzy Taylor expansion
T. Allahviranloo, Z. Noeiaghdam, S. Noeiaghdam +2
In many mathematical types of research, in order to solve the fuzzy fractional differential equations, we should transform these problems into crisp corresponding problems and by s…
Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil
Faical Ndairou, Ivan Area, Juan J. Nieto +2
We propose a new mathematical model for the spread of Zika virus. Special attention is paid to the transmission of microcephaly. Numerical simulations show the accuracy of the mode…
Ebola Model and Optimal Control with Vaccination Constraints
Ivan Area, Faical Ndairou, Juan J. Nieto +2
The Ebola virus disease is a severe viral haemorrhagic fever syndrome caused by Ebola virus. This disease is transmitted by direct contact with the body fluids of an infected perso…
A monotonicity result for the fractional operator
Bahaaeldin Abdalla, Thabet Abdeljawad, Juan J. Nieto
In this article we prove that if the fractional operator of order , and starting at some $qa \in T_q=\{q^k: k \in \mathbb{Z}\}\cu…