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Existence,uniqueness,and global attractivity of positive solutions and MLE of the parameters to the Logistic equation with random perturbation

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【Author】 Da-qing JIANG~1 Bao-xue ZHANG~1 De-hui WANG~2 Ning-zhong SHI~(1+) 1 School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China; 2 School of Mathematics,Jilin University,Changchun 130012,China

【摘要】 <正>This paper discusses a randomized Logistic equation N（t）=（r+αB（t））N（t）[1-（N（t）/K）] with an initial value N（0）=N₀,and N₀ is a random variable satisfying 0＜N₀＜K.The existence, uniqueness and global attractivity of positive solutions and maximum likelihood estimate（MLE）of the parameters of the equation are studied.更多还原

【Abstract】 This paper discusses a randomized Logistic equation N（t）=（r+αB（t））N（t）[1-（N（t）/K）] with an initial value N（0）=N₀,and N₀ is a random variable satisfying 0＜N₀＜K.The existence, uniqueness and global attractivity of positive solutions and maximum likelihood estimate（MLE）of the parameters of the equation are studied.更多还原

【关键词】 randomized Logistic equation； existence； uniqueness； global attractivity； MLE of the parameter；
【Key words】 randomized Logistic equation； existence； uniqueness； global attractivity； MLE of the parameter；

【基金】 This work was partially supported by the National Natural Science Foundation of China(Grant Nos.10431010 and 10571021);the Key Laboratory for Applied Statistics of Ministry of Education of China(KLAS)

【文献出处】 Science in China(Series A:Mathematics) ,中国科学(A辑:数学)(英文版) , 编辑部邮箱 ,2007年07期

【分类号】O211.63
【被引频次】23
【下载频次】56

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