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具有性别结构的免疫不育控制模型
引用本文:张美明,张凤琴,吕江,张学选. 具有性别结构的免疫不育控制模型[J]. 信阳师范学院学报(自然科学版), 2011, 0(4): 425-429
作者姓名:张美明  张凤琴  吕江  张学选
作者单位:运城学院应用数学系;中北大学数学系;
基金项目:国家自然科学基金项目(11071283); 运城学院院级科研项目(YQ-2010004)
摘    要:建立了免疫不育控制下的具有性别结构的单种群模型,利用特征方程和第二加性复合矩阵,讨论了系统平衡点的局部稳定性,并给出了理论结果的数值模拟,讨论了分别对雌性、雄性进行不育控制时参数对种群动态的影响.

关 键 词:免疫不育控制  性别结构  密度制约  竞争性繁殖干扰

Immunocontraception Control Models with Sex-structure
ZHANG Mei-ming,,ZHANG Feng-qin,LV Jiang,ZHANG Xue-xuan. Immunocontraception Control Models with Sex-structure[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2011, 0(4): 425-429
Authors:ZHANG Mei-ming    ZHANG Feng-qin  LV Jiang  ZHANG Xue-xuan
Affiliation:ZHANG Mei-ming1,2*,ZHANG Feng-qin2,LV Jiang2,ZHANG Xue-xuan1(1.Department of Applied Mathematics,Yuncheng University,Yuncheng 044000,China,2.Department of Mathematics,North University of China,Taiyuan 030051,China)
Abstract:Immunocontraception control models with sex-structure was presented.By analyzing the corresponding characteristic equation and the second additive compound matrix,the local stability of the system was discussed and the global dynamics with numerical simulations were given.The effects of parameters on population under male-specific and female-specific virus-vectored immunocontraception were discussed.
Keywords:immunocontraception control  sex-structure  density restrict  competitively reproductive interference  
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