Publicación:
GLOBAL EXISTENCE IN A FOOD CHAIN MODEL CONSISTING OF TWO COMPETITIVE PREYS, ONE PREDATOR AND CHEMOTAXIS

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dc.creatorLUIS MIGUEL VILLADA OSORIO
dc.date2022
dc.date.accessioned2025-01-10T15:35:33Z
dc.date.available2025-01-10T15:35:33Z
dc.date.issued2022
dc.description.abstractA MODEL FOR THE SPATIO-TEMPORAL EVOLUTION OF THREE BIOLOGICAL SPECIES IN A FOOD CHAIN MODEL CONSISTING OF TWO COMPETITIVE PREYS AND ONE PREDATOR WITH INTRA SPECIFIC COMPETITION IS CONSIDERED. BESIDES DIFFUSING, THE PREDATOR SPECIES MOVES TOWARD HIGHER CONCENTRATIONS OF A CHEMICAL SUBSTANCE PRODUCED BY THE PREY. THE PREY, IN TURN, MOVES AWAY FROM HIGH CONCENTRATIONS OF A SUBSTANCE SECRETED BY THE PREDATORS. THE RESULTING REACTION?DIFFUSION SYSTEM CONSISTS OF THREE PARABOLIC EQUATIONS ALONG WITH THREE ELLIPTIC EQUATIONS DESCRIBING THE DIFFUSION OF THE CHEMICAL SUBSTANCES. THE LOCAL EXISTENCE OF NONNEGATIVE SOLUTIONS IS PROVED. THEN UNIFORM ESTIMATES IN LEBESGUE SPACES ARE PROVIDED. THESE ESTIMATES LEAD TO BOUNDEDNESS AND GLOBAL WELL-POSEDNESS FOR THE SYSTEM. NUMERICAL SIMULATIONS ARE PRESENTED AND DISCUSSED.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.nonrwa.2022.103703
dc.identifier.issn1468-1218
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/12741
dc.languagespa
dc.publisherNONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
dc.relation.uri10.1016/j.nonrwa.2022.103703
dc.rightsPUBLICADA
dc.subjectWEAK SOLUTIONS
dc.subjectGLOBAL EXISTENCE
dc.subjectCHEMOTAXIS
dc.titleGLOBAL EXISTENCE IN A FOOD CHAIN MODEL CONSISTING OF TWO COMPETITIVE PREYS, ONE PREDATOR AND CHEMOTAXIS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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