About: Mathematical Analysis of the Ross–Macdonald Model with Quarantine

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

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	Mathematical Analysis of the Ross–Macdonald Model with Quarantine
Creator	Gao, Daozhou Jin, Shuwan Jin, Xiulei
Source	Medline; PMC
abstract	People infected with malaria may receive less mosquito bites when they are treated in well-equipped hospitals or follow doctors’ advice for reducing exposure to mosquitoes at home. This quarantine-like intervention measure is especially feasible in countries and areas approaching malaria elimination. Motivated by mathematical models with quarantine for directly transmitted diseases, we develop a mosquito-borne disease model where imperfect quarantine is considered to mitigate the disease transmission from infected humans to susceptible mosquitoes. The basic reproduction number [Formula: see text] is computed and the model equilibria and their stabilities are analyzed when the incidence rate is standard or bilinear. In particular, the model system may undergo a subcritical (backward) bifurcation at [Formula: see text] when standard incidence is adopted, whereas the disease-free equilibrium is globally asymptotically stable as [Formula: see text] and the unique endemic equilibrium is locally asymptotically stable as [Formula: see text] when the infection incidence is bilinear. Numerical simulations suggest that the quarantine strategy can play an important role in decreasing malaria transmission. The success of quarantine mainly relies on the reduction of bites on quarantined individuals.
has issue date	2020-04-02(xsd:dateTime)
bibo:doi	10.1007/s11538-020-00723-0
bibo:pmid	32242279
has license	no-cc
sha1sum (hex)	8a96099b0c2ba1a3cdce88c45370306a5c0e079d
schema:url	https://doi.org/10.1007/s11538-020-00723-0
resource representing a document's title	Mathematical Analysis of the Ross–Macdonald Model with Quarantine
has PubMed Central identifier	PMC7117789
has PubMed identifier	32242279
schema:publication	Bull Math Biol
resource representing a document's body	covid:8a96099b0c2ba1a3cdce88c45370306a5c0e079d#body_text
is schema:about of	named entity 'PARTICULAR' named entity 'ENDEMIC' named entity 'SUSCEPTIBLE' named entity 'HUMANS' covid:arg/8a96099b0c2ba1a3cdce88c45370306a5c0e079d named entity 'COMPUTED' named entity 'DOCTORS' named entity 'PLAY' named entity 'UNIQUE' named entity 'DISEASE-FREE' named entity 'ANALYZED' named entity 'TREATED' named entity 'STRATEGY' named entity 'BITES' named entity 'SUGGEST' named entity 'ELIMINATION' named entity 'REDUCTION' named entity 'STABLE' named entity 'STABILITIES' named entity 'STANDARD' named entity 'BORNE' named entity 'COUNTRIES' named entity 'CONSIDERED' named entity 'INFECTION INCIDENCE' named entity 'BIFURCATION' named entity 'MOSQUITO' named entity 'MOSQUITOES' named entity 'MATHEMATICAL MODELS' named entity 'LIKE' named entity 'REDUCING' named entity 'INCIDENCE' named entity 'APPROACHING' named entity 'MODEL' named entity 'SUCCESS' named entity 'HOSPITALS' named entity 'IMPORTANT' named entity 'LOCALLY' named entity 'QUARANTINE' named entity 'ADOPTED' named entity 'MEASURE' named entity 'TRANSMITTED' named entity 'INTERVENTION' named entity 'WHERE' named entity 'NUMERICAL SIMULATIONS' named entity 'MALARIA' named entity 'PEOPLE' named entity 'EQUILIBRIUM' named entity 'EXPOSURE TO' named entity 'FOLLOW' named entity 'MATHEMATICAL' named entity 'RECEIVE' named entity 'AT HOME' named entity 'MOSQUITO BITES' named entity 'DIRECTLY' named entity 'DISEASE MODEL' named entity 'MODEL' named entity 'MITIGATE' named entity 'ROLE' named entity 'INFECTED' named entity 'GLOBALLY' named entity 'AREAS' named entity 'DISEASES' named entity 'BASIC REPRODUCTION NUMBER' named entity 'INDIVIDUALS' named entity 'INCIDENCE RATE' named entity 'MALARIA TRANSMISSION' named entity 'THEIR' named entity 'QUARANTINE' named entity 'ROSS' named entity 'ANALYSIS' named entity 'ADVICE' named entity 'FEASIBLE' named entity 'DECREASING' named entity 'DISEASE TRANSMISSION' named entity 'quarantine' named entity 'Mathematical Analysis' named entity 'eigenvector' named entity 'efficacies' named entity 'quarantine'

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