[EN] In this paper we build a network-based model to evaluate and compare vaccination plans in order to find the optimal strategies. The age-structured model is designed to take into account the comorbidity status and ...
Martínez-Rodríguez, David; González Parra, Gilberto; Villanueva Micó, Rafael Jacinto(MDPI AG, 2021-04-01)
[EN] The administration of vaccines against the coronavirus disease 2019 (COVID-19) started in early December of 2020. Currently, there are only a few approved vaccines, each with different efficacies and mechanisms of ...
[EN] In this paper we develop an approach for obtaining the solutions to systems of linear retarded and neutral delay differential equations. Our analytical approach is based on the Laplace transform, inverse Laplace ...
González Parra, Gilberto Carlos; Villanueva Micó, Rafael Jacinto; Segovia, Lupe(Interciencia Association, 2012-04)
[EN] The dynamics of the prevalence of the pandemic virus AH1N1/09 in Venezuela, between May and December 2009, is of interest and not easily predictable. The dynamics at the population level of the AH1N1/09 virus and their ...
Miranda, Julio C.; Arenas, Abraham J.; González-Parra, Gilberto; Villada, Luis Miguel(MDPI AG, 2024-03)
[EN] The aim of this article is to investigate the existence of traveling waves of a diffusive model that represents the transmission of a virus in a determined population composed of the following populations: susceptible ...
González Parra, Gilberto; Martínez-Rodríguez, David; Villanueva Micó, Rafael Jacinto(MDPI AG, 2021-03-27)
[EN] Several SARS-CoV-2 variants have emerged around the world, and the appearance of other variants depends on many factors. These new variants might have different characteristics that can affect the transmissibility and ...
González Parra, Gilberto Carlos(Universitat Politècnica de València, 2009-10-22)
This thesis dissertation deals with the mathematical modeling of childhood obesity from a social
epidemic point of view for the Spanish region of Valencia. Three mathematical models based on systems of
nonlinear ordinary ...
González Parra, Gilberto Carlos; Villanueva Micó, Rafael Jacinto; Arenas Tawil, Abraham José(World Scientific and Engineering Academy and Society (WSEAS), 2010-11)
This paper is concerned with the construction and developing of several nonstandard finite difference (NSFD) schemes in matrix form in order to obtain numerical solutions of epidemic models. In particular, we deal with a ...
González Parra, Gilberto Carlos; Cortés, J.-C.; Villanueva Micó, Rafael Jacinto; Santonja, Francisco José(Sociedad de Estadística e Investigación Operativa, 2012-10)
[EN] In this paper a random differential equation system modeling population dynamics is investigated by means of the statistical moments equation. Monte Carlo simulations are performed in order to compare with the statistical ...
González Parra, Gilberto Carlos; Villanueva Micó, Rafael Jacinto; Ruiz Baragaño, Javier; Moraño Fernández, José Antonio(Elsevier, 2015-03)
In this paper we propose the use of a random network model for simulating and understanding theepidemics of influenza A(H1N1). The proposed model is used to simulate the transmission process ofinfluenza A(H1N1) in a community ...
[EN] In this paper, we investigate and implement a numerical method that is based on the mimetic finite difference operator in order to solve the nonlinear Allen-Cahn equation with periodic and non-periodic boundary ...