| 一类包虫病传播动力学模型的研究 |
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| 引用本文： | 赵瑜. 一类包虫病传播动力学模型的研究[J]. 生物数学学报, 2011, 0(3): 441-450 |
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| 作者姓名： | 赵瑜 |
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| 作者单位： | 宁夏师范学院数学与计算机科学学院; |
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| 基金项目： | 宁夏自然科学基金项目(NZ10228) |
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| 摘 要： | 研究了一类具有终宿主产卵期和中间宿主虫卵成熟期两时滞的包虫病传播动力学模型,得到了决定系统动力学行为的阈值R_0,当R_0〈1时,证明了未感染平衡点是局部渐近稳定的;当R_0〉1时,得到了感染平衡点是局部渐近稳定的充分条件。通过数值仿真验证了理论结果并探讨了时滞对系统动力学行为的影响,且发现若时滞在一定的范围内系统存在周期解.
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| 关 键 词： | 包虫病 传播 时滞 稳定性 周期解 |
Analysis of a Dynamic Model of Echinococcosis Transmission |
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| ZHAO Yu. Analysis of a Dynamic Model of Echinococcosis Transmission[J]. Journal of Biomathematics, 2011, 0(3): 441-450 |
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| Authors: | ZHAO Yu |
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| Affiliation: | ZHAO Yu (School of Math and Computer Science,Ningxia Teachers College,Guyuan Ningxia 756000 China) |
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| Abstract: | We investigate a dynamic model of echinococcosis transmission with definitive host incubation periods delay and intermediate host maturation periods delay.The threshold values which determined the dynamics behaviors of system is obtained.When R_0<1,the locally stability of the uninfected equilibrium is proved.When R_0>1,a sufficient condition of the locally stability of the infected equilibrium is obtained.The theoretics results is validated by numerical simulation and the effects of the delays to the dynam... |
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| Keywords: | Echinococcosis Transmission Delays Stability Periodic solution |
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