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MATHEMATICAL MODELING OF POPULATION DYNAMICS OF POLLINATORS: A SURVEY

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dc.creatorJORGE ANTONIO TORRES FUENTES
dc.creatorESPERANZA LOZADA GUIDICHI
dc.creatorANÍBAL CORONEL PÉREZ
dc.date2025
dc.date.accessioned2026-01-16T13:07:16Z
dc.date.available2026-01-16T13:07:16Z
dc.date.issued2025
dc.description.abstractIN THIS PAPER, WE DEVELOP A SYSTEMATIC REVIEW OF THE EXISTING LITERATURE ON THE MATHEMATICAL MODELING OF SEVERAL ASPECTS OF POLLINATORS. WE SELECTED THE MATHSCINET AND WOS DATABASES AND PERFORMED A SEARCH FOR THE WORDS POLLINATOR AND MATHEMATICAL MODEL. THIS SEARCH YIELDED A TOTAL OF 236 RECORDS. AFTER A DETAILED SCREENING PROCESS, WE RETAINED 107 PUBLICATIONS DEEMED MOST RELEVANT TO THE TOPIC OF MATHEMATICAL MODELING IN POLLINATOR SYSTEMS. WE CONDUCTED A BIBLIOMETRIC ANALYSIS AND CATEGORIZED THE STUDIES BASED ON THE MATHEMATICAL APPROACHES USED AS THE CENTRAL TOOL IN THE MATHEMATICAL MODELING AND ANALYSIS. THE MATHEMATICAL THEORIES USED TO OBTAIN THE MATHEMATICAL MODELS WERE ORDINARY DIFFERENTIAL EQUATIONS, PARTIAL DIFFERENTIAL EQUATIONS, GRAPH THEORY, DIFFERENCE EQUATIONS, DELAY DIFFERENTIAL EQUATIONS, STOCHASTIC EQUATIONS, NUMERICAL METHODS, AND OTHER TYPES OF THEORIES, LIKE FRACTIONAL ORDER DIFFERENTIAL EQUATIONS. MEANWHILE, THE TOPICS WERE POSITIVE BOUNDED SOLUTIONS, EQUILIBRIUM AND STABILITY ANALYSIS, BIFURCATION ANALYSIS, OPTIMAL CONTROL, AND NUMERICAL ANALYSIS. WE SUMMARIZED THE RESEARCH FINDINGS AND IDENTIFIED SOME CHALLENGES THAT COULD INFORM THE DIRECTION OF FUTURE RESEARCH, HIGHLIGHTING AREAS THAT WILL AID IN THE DEVELOPMENT OF FUTURE RESEARCH.
dc.formatapplication/pdf
dc.identifier.doi10.3390/biology14091308
dc.identifier.issn2079-7737
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/14327
dc.language
dc.publisherBIOLOGY-BASEL
dc.relation.uri10.3390/biology14091308
dc.rightsOPEN ACCESS
dc.subjectPlant-pollinator interaction
dc.subjectPollinators
dc.subjectPesticides
dc.titleMATHEMATICAL MODELING OF POPULATION DYNAMICS OF POLLINATORS: A SURVEY
dc.typeARTÍCULO
dspace.entity.typePublication
oaire.licenseConditionCC BY 4.0
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
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