出生和死亡具有密度制约的不育控制下的害鼠种群动态  

The Rat Model of Sterility with Density Restriction in Birth and Death

作　　者：郑重武[1] 焦守文[1] 张凤琴[1] 刘汉武[1] 

机构地区：[1]运城学院应用数学系,山西运城044000

出　　处：《生物数学学报》2014年第2期315-320,共6页Journal of Biomathematics

基　　金：国家自然科学基金项目(11371313)

摘　　要：讨论了一类出生和死亡都具有密度制约的不育单种群害鼠模型,得到了各平衡点存在及局部渐近稳定的条件,证明了各平衡点的全局渐近稳定性.最后利用数值模拟验证了所得结论,并进一步分析了密度制约因素和传染率对于平衡点的稳定性及种群规模的影响.In this paper,the rat model of sterility was investigated with density restriction in birth and death,and we proved the existence,the locally and globally asymptotical stability of equilibrims.At last we proved the conclusions with the help of numerical simulation,and analyzed the effect which is from density restriction for stability of equilibrims and population.

关 键 词：密度制约 不育 稳定性 LIAPUNOV函数 

分 类 号：O175.13[理学—数学]