About: Global Stability Analysis of HIV+ Model

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An Entity of Type : schema:ScholarlyArticle, within Data Space : wasabi.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Global Stability Analysis of HIV+ Model
Creator	Abdullahi Baba, Isa Kaymakamzade, Bilgen Sayan, Murat Hincal, Evren Saad, Farouk
Source	PMC
abstract	We developed and studied a mathematical model of HIV+. Two equilibriums points were found, disease free and endemic equilibrium, and basic reproduction ratio [Formula: see text] was also calculated by the use of next generation matrix. Global stability analysis of the equilibria was carried out by the use of Lyapunov function, and it was shown that the stability of the equilibria depends on the magnitude of the basic reproduction ratio. When [Formula: see text] , the disease free equilibrium is globally asymptotically stable, and disease dies out. On the other hand if [Formula: see text] , the endemic equilibrium is globally asymptotically stable and epidemics occurs. Reported cases of 13646 HIV-1 positive were obtained in the year 2016 from Ministry of Health, Turkey (MOH). This data is used to present the numerical simulations, which supports the analytic result. [Formula: see text] was found to be 1.98998, which is bigger than 1, this shows the threat posed by HIV in Turkey.
has issue date	2018-12-29(xsd:dateTime)
bibo:doi	10.1007/978-3-030-04164-9_109
has license	no-cc
sha1sum (hex)	7cb61b80d834de0b9e606b766f9af2fd1b7d7183
schema:url	https://doi.org/10.1007/978-3-030-04164-9_109
resource representing a document's title	Global Stability Analysis of HIV+ Model
has PubMed Central identifier	PMC7122938
schema:publication	13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018
resource representing a document's body	covid:7cb61b80d834de0b9e606b766f9af2fd1b7d7183#body_text
is schema:about of	named entity 'numerical simulations' named entity 'HIV' named entity 'result' named entity 'points' named entity 'equilibria' named entity 'stability' named entity 'ratio' named entity 'Lyapunov function' named entity 'globally asymptotically stable' named entity 'MOH' named entity 'ANALYSIS' named entity 'THREAT' named entity 'ENDEMIC' named entity 'USE OF' named entity 'GENERATION' named entity 'MATHEMATICAL MODEL' named entity 'HIV-1 POSITIVE' named entity 'OBTAINED' named entity 'BIGGER' covid:arg/7cb61b80d834de0b9e606b766f9af2fd1b7d7183 named entity 'RATIO' named entity 'BASIC' named entity 'GLOBALLY' named entity 'POINTS' named entity 'HIV' named entity 'MATRIX' named entity 'CALCULATED' named entity 'PRESENT' named entity 'STABILITY' named entity 'USED' named entity 'MODEL' named entity 'GLOBAL STABILITY' named entity 'MAGNITUDE' named entity 'CASES' named entity 'ANALYSIS' named entity 'GLOBAL STABILITY' named entity 'YEAR' named entity 'HIV' named entity 'TURKEY' named entity 'RESULT' named entity 'CARRIED' named entity 'REPRODUCTION' named entity 'NUMERICAL SIMULATIONS' named entity 'REPORTED' named entity 'HAND' named entity 'EQUILIBRIUM' named entity 'MODEL OF' named entity 'EPIDEMICS' named entity 'DATA' named entity 'STABLE' named entity 'HEALTH' named entity 'FUNCTION' named entity 'FOUND' named entity 'DISEASE FREE' named entity 'ratio' named entity 'data' named entity 'depends' named entity 'Two' named entity 'HIV' named entity 'Turkey' named entity 'equilibrium' named entity 'basic' named entity 'equilibriums' named entity 'HIV+' named entity 'epidemics' named entity 'equilibrium' named entity 'globally asymptotically stable' named entity 'Stability Analysis' named entity 'AIDS' named entity 'HIV epidemic' named entity 'force of infection' named entity 'HIV transmission' named entity 'Human Immunodeficiency Virus' named entity 'ordinary differential equations' named entity 'HIV positive' named entity 'feasible region' named entity 'Candidiasis' named entity 'MSM' named entity 'Turkey'

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