Next Article in Journal
Critical Temperature Prediction of Superconductors Based on Atomic Vectors and Deep Learning
Previous Article in Journal
Vortex Dynamics of Charge Carriers in the Quasi-Relativistic Graphene Model: High-Energy k · p Approximation
Previous Article in Special Issue
w-b-Cone Distance and Its Related Results: A Survey
Open AccessArticle

Latent Infectious Capacities of Dengue Fever: Mathematical Modeling and Eco-Friendly Prevention Strategy

1
Department of Industrial Management, National Pingtung University of Science and Technology, Pingtung 91201, Taiwan
2
Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 82444, Taiwan
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(2), 263; https://doi.org/10.3390/sym12020263
Received: 6 January 2020 / Revised: 1 February 2020 / Accepted: 6 February 2020 / Published: 8 February 2020
(This article belongs to the Special Issue Nonlinear, Convex, Nonsmooth, Functional Analysis in Symmetry)
The main aim of this article is to propose a method for exploring the latent values about the capacities of spreading dengue for each potential site. First, a mathematical model connecting the observable public data and the capacities of spreading dengue is provided based on the split feasibility problem (SFP). Then, a proper iterative scheme for the SFP is presented to approach the values of infectious capacities (ICs) of potential sites—the capacities of spreading. The performance of our proposed method is demonstrated using public data from Kaohsiung City for 2014 and 2015. The results presented in this paper show that our proposed method is reliable and the sites with a high capacity of spreading are only a small portion of thousands of all potential sites and could be an alternative strategy for preventing the outbreak of dengue fever whilst also avoiding the damage of ecosystems caused by chemical insecticides.
Keywords: dengue fever; split feasibility problem (SFP); infectious capacity ; large-scale system; vector control; epidemic modeling; iterative scheme dengue fever; split feasibility problem (SFP); infectious capacity ; large-scale system; vector control; epidemic modeling; iterative scheme
MDPI and ACS Style

Hong, C.-C.; Du, W.-S.; Ge, Y.-H. Latent Infectious Capacities of Dengue Fever: Mathematical Modeling and Eco-Friendly Prevention Strategy. Symmetry 2020, 12, 263.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop