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arXiv 0906.5550q-bio.PEcond-mat.stat-mech
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随机种群中流行病淡出的WKB理论

WKB theory of epidemic fade-out in stochastic populations

Baruch Meerson, Pavel V. Sasorov

摘要:

随机效应可能会导致流行病爆发后立即淡出人群中的传染病。我们发展了WKB理论,以确定系统走向流行病淡出的最可能路径,并评估淡出概率。最可能的路径是在相空间中的基本哈密顿流的类瞬子轨道。

英文摘要:

Stochastic effects may cause fade-out of an infectious disease in a population immediately after an epidemic outbreak. We develop WKB theory to determine the most probable path of the system toward epidemic fade-out and to evaluate the fade-out probability. The most probable path is an instanton-like orbit in the phase space of the underlying Hamiltonian flow.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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