分布的時間遅れをもつ確率感染症モデルの安定性解析

• 石川 昌明

  山口大学大学院創成科学研究科

書誌事項

タイトル別名

• On the Stability Analysis of the Stochastic Infectious Model with Distributed Time Delay
• ブンプテキ ジカン オクレ オ モツ カクリツ カンセンショウ モデル ノ アンテイセイ カイセキ

抄録

This paper is concerned with the stability analysis of the stochastic infectious model with time delay. In the vector-borne diseases such as malaria and Japanese encephalitis, there exists time delay caused by an incubation period in the virus development in the vectors on the transmission of disease. Moreover, environmental change and individual difference cause some kinds of random fluctuations in the infection, recovery rates, etc. Hence, we propose the stochastic infectious model with time delay. The equilibrium solution with zero infected individuals is called the disease-free steady state. Since the stability of the disease-free steady state is related to whether or not the infectious disease spreads, we analyze stability of the disease-free steady state using the stochastic Lyapunov function. Moreover, we study the influence of the random noise on the stability based on the calculation of the Lyapunov exponent, and show results of numerical simulations.

収録刊行物

• システム制御情報学会論文誌

  システム制御情報学会論文誌 31 (4), 129-136, 2018-04-15

  一般社団法人 システム制御情報学会

キーワード

• stochastic infectious model
• distributed time delay
• Lyapunov function
• Lyapunov exponent
• stability

詳細情報

• CRID: 1390564237997976448
• NII論文ID: 130007405016
• NII書誌ID: AN1013280X
• DOI: 10.5687/iscie.31.129
• ISSN: 2185811X
• ISSN: 13425668
• NDL書誌ID: 028937231
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I028937231
• Web Site: https://www.jstage.jst.go.jp/article/iscie/31/4/31_129/_pdf
• 本文言語コード: ja
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