Open Access3D-Chaotic discrete system of vector borne diseases using environment factor with deep analysis
Author(s) -
Shaymaa H. Salih,
AUTHOR_ID,
Nadia M. G. Al-Saidi,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022219
Subject(s) - chaotic , dengue fever , vector (molecular biology) , malaria , parametric statistics , transmission (telecommunications) , control theory (sociology) , stability (learning theory) , virology , biology , computer science , biological system , mathematics , immunology , statistics , artificial intelligence , control (management) , machine learning , telecommunications , biochemistry , gene , recombinant dna
Vector-Borne Disease (VBD) is a disease that consequences as of an infection communicated to humans and other animals by blood-feeding anthropoids, like mosquitoes, fleas, and ticks. Instances of VBDs include Dengue infection, Lyme infection, West Nile virus, and malaria. In this effort, we formulate a parametric discrete-time chaotic system that involves an environmental factor causing VBD. Our suggestion is to study how the inclusion of the parasitic transmission media (PTM) in the system would impact the analysis results. We consider a chaotic formula of the PTM impact, separating two types of functions, the host and the parasite. The considered applications are typically characterized by chaotic dynamics, and thus chaotic systems are suitable for their modeling, with corresponding model parameters, that depend on control measures. Dynamical performances of the suggested system and its global stability are considered.