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

Rana Parshad, Folashade B. Agusto

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.
Original languageEnglish (US)
Pages (from-to)311-343
Number of pages33
JournalDynamics of Partial Differential Equations
Volume8
Issue number4
DOIs
StatePublished - 2011

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: 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.

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Global dynamics of a PDE model for aedes aegypti mosquitoe incorporating female sexual preference'. Together they form a unique fingerprint.

Cite this