Asymptotic Behavior of an SI Epidemic Model With Pulse Removal

Abstract

In this paper we discuss an SI epidemic model with pulse removal from the infective class at fixed time intervals with both exponential and logistic type underlying population dynamics. This model has a significance when dealing with animal diseases with no recovery or when we consider isolation in human diseases. We provide a rigorous analysis of the asymptotic behavior of the percentage of infected individuals, the total number of infected individuals, and the total population in our model. We show that periodic removal/isolation is a feasible strategy to control the spread of the disease.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2006
Accession Number
ADA443661

Entities

People

  • G. A. Pinter
  • I. G. Lauko
  • K. M. Fuhrman

Organizations

  • University of Wisconsin–Milwaukee

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Animal Diseases
  • Availability
  • Classification
  • Contracts
  • Diseases And Disorders
  • Dynamics
  • Information Operations
  • Instructions
  • Intervals
  • Monitoring
  • Recovery
  • Security
  • Standards
  • Time Intervals
  • Universities

Fields of Study

  • Biology
  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Infectious Disease/Epidemiology
  • Life Cycle Cost Analysis