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- Ishikawa Masaaki
- Graduate School of Sciences and Technology for Innovation, Yamaguchi University
抄録
<p>The purpose of this paper is to propose the stochastic infectious model with time delay and to study the stability of the disease-free steady state. In the prevalence of infectious diseases, environmental change and individual difference cause some kinds of random fluctuations in the infection recovery rate, immune effect, etc. Hence, the stochastic infectious model plays an important role in the analysis of the infection disease. Moreover, in the vector-borne diseases such as malaria and dengue fever, there exists time delay caused by an incubation period in the virus development in the vectors (mosquitoes) on the transmission of disease. Taking these facts into consideration, we propose a stochastic SIR(susceptible-infected-recovered) model with time delay. We analyze stability of the disease-free steady state, and study the influence of time delay and the random noise on the stability by numerical simulations.</p>
収録刊行物
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- Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
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Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications 2017 (0), 146-152, 2017
システム制御情報学会ストカスティックシステムシンポジウム
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詳細情報 詳細情報について
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- CRID
- 1390282680740999040
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- NII論文ID
- 130006192993
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- ISSN
- 21884749
- 21884730
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- Crossref
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可