Dynamics of a Heroin Epidemic Model with Very Population

Dynamics of a Heroin Epidemic Model with Very Population
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DOI:
10.4236/am.2011.26097
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发表时间:
2011-06
影响因子:
1
通讯作者:
Xiaoyan Wang;Junyuan Yang;Xuezhi Li
Xiaoyan Wang;Junyuan Yang;Xuezhi Li
中科院分区:
数学4区
文献类型:
--
作者:
Xiaoyan Wang;Junyuan Yang;Xuezhi Li

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在Mulone和Straughan [1]提出的模型的基础上,对种群为常数的情形进行了松弛,得到了在一定条件下全局渐近稳定的无药平衡点.利用第二复合矩阵证明了该系统只有唯一的正地方病平衡点,且该平衡点是全局渐近稳定的。
Based on the model provided by the Mulone and Straughan [1], we relax the population which are constant and obtain the drug-free equilibrium which is global asymptotically stable under some conditions. The system has only uniqueness positive endemic equilibrium which is globally asymptotically stable by using the second compound matrix.