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  • 标题:Some Mathematical Aspects of Spread and Stability of Time-Delay Gonorrhea
  • 本地全文:下载
  • 作者:N.C. Srinivas ; N.Ch. Pattabhi Ramacharyulu
  • 期刊名称:Defence Science Journal
  • 印刷版ISSN:0976-464X
  • 出版年度:2013
  • 卷号:41
  • 期号:3
  • 页码:277-293
  • DOI:10.14429/dsj.41.4432
  • 语种:English
  • 出版社:Defence Scientific Information & Documentation Centre
  • 摘要:A mathematical model of time-delay gonorrhea among hetero and homosexuals is presented as a system of first order ordinary coupled integro-differential equations with delayed arguments. A theorem on the positivity of the solutions is proved to establish the feasibility of the proposed mode. Further, the only possible diseased equilibrium state has been identified and the stability analysis of such a state for some epidemiological possibilities has been carried out. It has been observed that the impulsive type inflow of infectives into the population maintained the stability of the diseased equilibrium state and is valid even for the exponential type inflows. In contrast to this, instability sets in when one or other of infective inflows is of the gate type.
  • 关键词:Epidemic diseases ;Mathematical models;Medical science
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