Global dynamics of a PDE model for aedes aegypti mosquitoe incorporating female sexual preference

Handle URI:
http://hdl.handle.net/10754/561670
Title:
Global dynamics of a PDE model for aedes aegypti mosquitoe incorporating female sexual preference
Authors:
Parshad, Rana ( 0000-0001-7443-8927 ) ; Agusto, Folashade B.
Abstract:
In this paper we study the long time dynamics of a reaction diffusion system, describing the spread of Aedes aegypti mosquitoes, which are the primary cause of dengue infection. The system incorporates a control attempt via the sterile insect technique. The model incorporates female mosquitoes sexual preference for wild males over sterile males. We show global existence of strong solution for the system. We then derive uniform estimates to prove the existence of a global attractor in L-2(Omega), for the system. The attractor is shown to be L-infinity(Omega) regular and posess state of extinction, if the injection of sterile males is large enough. We also provide upper bounds on the Hausdorff and fractal dimensions of the attractor.
KAUST Department:
Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
International Press of Boston
Journal:
Dynamics of Partial Differential Equations
Issue Date:
2011
DOI:
10.4310/dpde.2011.v8.n4.a2
Type:
Article
ISSN:
1548159X
Sponsors:
The authors acknowledge the useful discussions with Dr Suzanne Lenhart and Dr. Sharon Bewick. RDP was assisted by attendance as a Short-term Visitor at NIMBioS, while FBA conducted the work as a Postdoctoral Fellow at NIMBioS. National Institute for Mathematical and Biological Synthesis (NIMBioS) is an Institute sponsored by the National Science Foundation, the U.S. Department of Homeland Security, and the U.S. Department of Agriculture through NSF Award #EF-0832858, with additional support from The University of Tennessee, Knoxville. We would also like to acknowledge the comments and suggestions of the referee which helped us improve the overall quality of the manuscript.
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorParshad, Ranaen
dc.contributor.authorAgusto, Folashade B.en
dc.date.accessioned2015-08-03T09:01:57Zen
dc.date.available2015-08-03T09:01:57Zen
dc.date.issued2011en
dc.identifier.issn1548159Xen
dc.identifier.doi10.4310/dpde.2011.v8.n4.a2en
dc.identifier.urihttp://hdl.handle.net/10754/561670en
dc.description.abstractIn this paper we study the long time dynamics of a reaction diffusion system, describing the spread of Aedes aegypti mosquitoes, which are the primary cause of dengue infection. The system incorporates a control attempt via the sterile insect technique. The model incorporates female mosquitoes sexual preference for wild males over sterile males. We show global existence of strong solution for the system. We then derive uniform estimates to prove the existence of a global attractor in L-2(Omega), for the system. The attractor is shown to be L-infinity(Omega) regular and posess state of extinction, if the injection of sterile males is large enough. We also provide upper bounds on the Hausdorff and fractal dimensions of the attractor.en
dc.description.sponsorshipThe authors acknowledge the useful discussions with Dr Suzanne Lenhart and Dr. Sharon Bewick. RDP was assisted by attendance as a Short-term Visitor at NIMBioS, while FBA conducted the work as a Postdoctoral Fellow at NIMBioS. National Institute for Mathematical and Biological Synthesis (NIMBioS) is an Institute sponsored by the National Science Foundation, the U.S. Department of Homeland Security, and the U.S. Department of Agriculture through NSF Award #EF-0832858, with additional support from The University of Tennessee, Knoxville. We would also like to acknowledge the comments and suggestions of the referee which helped us improve the overall quality of the manuscript.en
dc.publisherInternational Press of Bostonen
dc.titleGlobal dynamics of a PDE model for aedes aegypti mosquitoe incorporating female sexual preferenceen
dc.typeArticleen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalDynamics of Partial Differential Equationsen
dc.contributor.institutionAustin Peay State University, Department of Mathematics, Clarksville, TN 37044, United Statesen
kaust.authorParshad, Ranaen
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