| 摘要: |
| 建立对逼近模型来研究易感者宿主的移动对宿主-寄生虫相互作用的影响，采用理论分析得到无病平衡点和地方病平衡点，并利用Ｒouth Hurwits判据研究无病平衡点的渐近稳定性，得到了形成地方病的临界值；进一步用Matlab 给出了相应的计算机模拟；结论发现了一些重要现象，丰富了传染病的数学理论。 |
| 关键词: 宿主-寄生虫 对逼近 易感者宿主的移动 |
| DOI： |
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| The Influence of Host-parasite Interactions on the Role of Susceptible Host‘s Movement |
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ZHANG Fen-fen1，ZHANG Ju-ping2
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| Abstract: |
| A pair approximation model is established to study the effect of the susceptible host's movement on host parasite interactions. Disease-free equilibrium and endemic equilibrium are obtained by theoretical analysis. Through the discussion of local asymptotic stability of disease-free equilibrium by the Ｒouth-Hurwits, the critical value is obtained so that the infection is established. In addition, the corresponding computer simulation is given by Matlab. The conclusion has found some important phenomena and enriched the mathematical theory of infectious diseases. |
| Key words: host-parasite pair approximation the susceptible host s movement |
