Open AccessPermanence of a Discrete Model of Mutualism with Infinite Deviating Arguments
Author(s) -
Xuepeng Li,
Wensheng Yang
Publication year - 2010
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2010/931798
Subject(s) - mutualism (biology) , mathematics , statistical physics , mathematical economics , econometrics , physics , ecology , biology
We propose a discrete model of mutualism with infinite deviating arguments, that is 1(+1)=1()exp{1()[(1()+1∑()∞=02()2∑(−))/(1+∞=02()2(−))−1(−1())]},2(+1)=2()exp{2()[(2()+2∑()∞=01()1∑(−))/(1+∞=01()1(−))−2(−2())]}. By some Lemmas, sufficient conditions are obtained for the permanence of the system
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