Kinetic Theories for Age-structured Populations

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：yangwenping666

【摘要】

：

　　We derive a new kinetic theory for age-structured populations undergoing a semi-markov birth-death process.A high-dimensional transport equation is derived

【作者】

：

ChouTom;

【机构】

：

UCLA

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

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　　We derive a new kinetic theory for age-structured populations undergoing a semi-markov birth-death process.A high-dimensional transport equation is derived for the probability density for any number of individuals with specified age ranges.Different structural forms required for different processes such as birth-death,branching,and sexual reproduction are highlighted.Our equations form a series analogous to that of the BBGKY hierarchy.We show how low-moment closure leads to the classic deterministic McKendrick equation.

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Kinetic Theories for Age-structured Populations

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