@prefix ns1: .
@prefix ns2: .
@prefix rdf: .
@prefix rdfs: .
@prefix xml: .
@prefix xsd: .
a ns1:ScholarlyArticle ;
ns1:about ,
;
ns1:author ( ) ;
ns1:citation ,
,
,
,
,
,
;
ns1:datePublished "2022-04-15" ;
ns1:datePublishedReg "2022-04-15" ;
ns1:description "Study of ecosystems has always been an interesting topic in the view of real-world dynamics. In this paper, we propose a fractional-order nonlinear mathematical model to describe the prelude of deteriorating quality of water cause of greenhouse gases on the population of aquatic animals. In the proposed system, we recall that greenhouse gases raise the temperature of water, and because of this reason, the dissolved oxygen level goes down, and also the rate of circulation of disintegrated oxygen by the aquatic animals rises, which causes a decrement in the density of aquatic species. We use a generalized form of the Caputo fractional derivative to describe the dynamics of the proposed problem. We also investigate equilibrium points of the given fractional-order model and discuss the asymptotic stability of the equilibria of the proposed autonomous model. We recall some important results to prove the existence of a unique solution of the model. For finding the numerical solution of the established fractional-order system, we apply a generalized predictorâ€“corrector technique in the sense of proposed derivative and also justify the stability of the method. To express the novelty of the simulated results, we perform a number of graphs at various fractional-order cases. The given study is fully novel and useful for understanding the proposed real-world phenomena." ;
ns1:genre "article" ;
ns1:isAccessibleForFree true ;
ns1:isPartOf [ a ns1:PublicationIssue ;
ns1:issueNumber "1" ],
[ a ns1:PublicationVolume ;
ns1:volumeNumber "2022" ],
;
ns1:keywords "Caputo fractional derivative",
"animals",
"aquatic animals",
"aquatic species",
"asymptotic stability",
"autonomous model",
"cases",
"cause",
"circulation",
"decrement",
"density",
"derivatives",
"dynamics",
"ecosystems",
"effect",
"equilibrium",
"equilibrium point",
"existence",
"form",
"fractional derivative",
"fractional mathematical model",
"fractional order case",
"fractional-order model",
"fractional-order systems",
"gases",
"generalized form",
"graph",
"greenhouse gases",
"hypoxia",
"important results",
"interesting topic",
"levels",
"mathematical model",
"method",
"model",
"novelty",
"number",
"number of graphs",
"numerical solution",
"oxygen",
"oxygen levels",
"paper",
"phenomenon",
"point",
"population",
"predictor-corrector technique",
"prelude",
"problem",
"quality",
"rate",
"rate of circulation",
"real-world dynamics",
"real-world phenomena",
"reasons",
"results",
"sense",
"simulated results",
"solution",
"species",
"stability",
"study",
"study of ecosystems",
"system",
"technique",
"temperature",
"temperature of water",
"topic",
"unique solution",
"view",
"water",
"water causes" ;
ns1:name "Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model" ;
ns1:pagination "31" ;
ns1:productId [ a ns1:PropertyValue ;
ns1:name "pubmed_id" ;
ns1:value "35450200" ],
[ a ns1:PropertyValue ;
ns1:name "doi" ;
ns1:value "10.1186/s13662-022-03679-8" ],
[ a ns1:PropertyValue ;
ns1:name "dimensions_id" ;
ns1:value "pub.1147152169" ] ;
ns1:sameAs ,
;
ns1:sdDatePublished "2022-09-02T16:08" ;
ns1:sdLicense "https://scigraph.springernature.com/explorer/license/" ;
ns1:sdPublisher [ a ns1:Organization ;
ns1:name "Springer Nature - SN SciGraph project" ] ;
ns1:url "https://doi.org/10.1186/s13662-022-03679-8" ;
ns2:license ;
ns2:sdDataset "articles" .
a ns1:DefinedTerm ;
ns1:inDefinedTermSet ;
ns1:name "Mathematical Sciences" .
a ns1:DefinedTerm ;
ns1:inDefinedTermSet ;
ns1:name "Pure Mathematics" .
a ns1:Periodical ;
ns1:issn "1687-1839",
"2731-4235" ;
ns1:name "Advances in Continuous and Discrete Models" ;
ns1:publisher "Springer Nature" .
a ns1:Person ;
ns1:affiliation ;
ns1:familyName "Erturk" ;
ns1:givenName "Vedat Suat" ;
ns1:sameAs .
a ns1:Person ;
ns1:affiliation ;
ns1:familyName "Govindaraj" ;
ns1:givenName "V." ;
ns1:sameAs .
a ns1:Person ;
ns1:affiliation ;
ns1:familyName "Mohamed" ;
ns1:givenName "Mohamed S." ;
ns1:sameAs .
a ns1:Person ;
ns1:affiliation ;
ns1:familyName "Kumar" ;
ns1:givenName "Pushpendra" ;
ns1:sameAs .
a ns1:CreativeWork ;
ns1:sameAs ,
.
a ns1:CreativeWork ;
ns1:sameAs ,
.
a ns1:CreativeWork ;
ns1:sameAs ,
.
a ns1:CreativeWork ;
ns1:sameAs ,
.
a ns1:CreativeWork ;
ns1:sameAs ,
.
a ns1:CreativeWork ;
ns1:sameAs ,
.
a ns1:CreativeWork ;
ns1:sameAs ,
.
a ns1:Organization ;
ns1:alternateName "Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55200, Atakum, Samsun, Turkey" ;
ns1:name "Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayis University, 55200, Atakum, Samsun, Turkey" .
a ns1:Organization ;
ns1:alternateName "Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia" ;
ns1:name "Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia" .
a ns1:Organization ;
ns1:alternateName "Department of Mathematics, National Institute of Technology Puducherry, 609609, Karaikal, India" ;
ns1:name "Department of Mathematics, National Institute of Technology Puducherry, 609609, Karaikal, India" .