Dynamic Models of Infectious Diseases  in a Population with Varying Size

马知恩; 靳祯

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Dynamic Models of Infectious Diseases in a Population with Varying Size

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- Dynamic Models of Infectious Diseases in a Population with Varying Size
- 总人口在变化的流行病动力学模型
- Issue 4, Pages: 262-271(2001)
- 作者机构：
  
  1. 西安交通大学应用数学系
  2. 华北工学院理学系,山西,太原,030051
  3. ,山西,太原,030051
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2001
- 稿件说明：
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马知恩, 靳祯. Dynamic Models of Infectious Diseases in a Population with Varying Size[J]. 2001, (4): 262-271.
DOI：

马知恩, 靳祯. Dynamic Models of Infectious Diseases in a Population with Varying Size[J]. 2001, (4): 262-271. DOI：

摘要

目的　综述总人口在变化的流行病模型研究进展 .方法　检索分析国内外相关资料 .结果　重点介绍在移民或出生以及死亡率不相等的情况下给出决定疾病绝灭或形成地方病、种群规模是绝灭、保持有限或无穷的阈值

在总人口变化且满足修正的 logistic方程的情况下也给出了相应的阈值 .结论　指出了总人口在变化的流行病模型的研究方法

Abstract

s: Aim\ To summarize the epidemiological models for populations of varying size. Methods\ The interrelated data home and abroad were searched and analyzed. Results\ When population dynamics are immigration or deaths and unbalanced births and deaths proportional to the population size

thresholds are found which determine whether the disease dies out or remains and whether the population declines in size

remains finite or grows exponentially.When the population dynamics are a modificatory Logistic differential equation

thresholds are also found. Conclusion\ Some researchful methods in this field are proposed.

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references

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